%%% -*-BibTeX-*-
%%% ====================================================================
%%%  BibTeX-file{
%%%     author          = "Nelson H. F. Beebe",
%%%     version         = "1.08",
%%%     date            = "04 March 2014",
%%%     time            = "07:57:01 MST",
%%%     filename        = "canjmath2000.bib",
%%%     address         = "University of Utah
%%%                        Department of Mathematics, 110 LCB
%%%                        155 S 1400 E RM 233
%%%                        Salt Lake City, UT 84112-0090
%%%                        USA",
%%%     telephone       = "+1 801 581 5254",
%%%     FAX             = "+1 801 581 4148",
%%%     URL             = "http://www.math.utah.edu/~beebe",
%%%     checksum        = "05798 19686 100306 953055",
%%%     email           = "beebe at math.utah.edu, beebe at acm.org,
%%%                        beebe at computer.org (Internet)",
%%%     codetable       = "ISO/ASCII",
%%%     keywords        = "bibliography, BibTeX, Canadian Journal of
%%%                        Mathematics, Journal canadien de
%%%                        math{\'e}matiques",
%%%     license         = "public domain",
%%%     supported       = "yes",
%%%     docstring       = "This is a COMPLETE bibliography of the
%%%                        Canadian Journal of Mathematics = Journal
%%%                        canadien de math{\'e}matiques (CODEN CJMAAB,
%%%                        ISSN 0008-414X (print), 1496-4279
%%%                        (electronic)), published by the Canadian
%%%                        Mathematical Society = Soci{\'e}t{\'e}
%%%                        canadienne de math{\'e}matiques for the
%%%                        decade 2000--2009.
%%%
%%%                        Publication began with Volume 1, Number 1, in
%%%                        1949.  The journal was published quarterly
%%%                        from 1949 to 1964, and since then, appears
%%%                        bimonthly in February, April, June, August,
%%%                        October, and December.
%%%
%%%                        Articles may be published in either English
%%%                        or French, and English abstracts are
%%%                        sometimes provided for articles in French.
%%%
%%%                        The journal has a World-Wide Web sites at
%%%
%%%                            http://cms.math.ca/cjm/
%%%                            http://math.ca/Journals/
%%%                            http://cms.math.ca/Publications/CJM-CMB.html
%%%                            http://www.utpjournals.com/cjm/cjm.html
%%%                            http://www.camel.math.ca/CMS/CJM/
%%%
%%%                        Electronic full text of articles is available
%%%                        to qualified subscribers, and for older
%%%                        issues, to anyone.
%%%
%%%                        At version 1.08, the COMPLETE year coverage
%%%                        looked like this:
%%%
%%%                             1997 (   2)    2003 (  51)    2009 (  67)
%%%                             1998 (   1)    2004 (  58)    2010 (   1)
%%%                             1999 (   1)    2005 (  54)    2011 (   0)
%%%                             2000 (  52)    2006 (  47)    2012 (   1)
%%%                             2001 (  47)    2007 (  57)
%%%                             2002 (  52)    2008 (  59)
%%%
%%%                             Article:        550
%%%
%%%                             Total entries:  550
%%%
%%%                        BibTeX citation tags are uniformly chosen as
%%%                        name:year:abbrev, where name is the family
%%%                        name of the first author or editor, year is a
%%%                        4-digit number, and abbrev is a 3-letter
%%%                        condensation of important title
%%%                        words. Citation tags are automatically
%%%                        generated by software developed for the
%%%                        BibNet Project.
%%%
%%%                        In this bibliography, entries are sorted in
%%%                        publication order, using bibsort -byvolume.
%%%                        The checksum field above contains a CRC-16
%%%                        checksum as the first value, followed by the
%%%                        equivalent of the standard UNIX wc (word
%%%                        count) utility output of lines, words, and
%%%                        characters.  This is produced by Robert
%%%                        Solovay's checksum utility.",
%%%  }
%%% ====================================================================

@Preamble{
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    "\ifx \undefined \mathbb \def \mathbb #1{{\bf #1}} \fi" #
    "\ifx \undefined \mathbf \def \mathbf #1{{\bf #1}} \fi" #
    "\ifx \undefined \mathcal \def \mathcal #1{{\cal #1}}\fi" #
    "\ifx \undefined \mathfrak \let \mathfrak = \mathcal \fi" #
    "\ifx \undefined \mathrm \def \mathrm #1{{\rm #1}}\fi" #
    "\ifx \undefined \refcno \def \refcno{Cno. } \fi"
}

%%% ====================================================================
%%% Acknowledgement abbreviations:

@String{ack-nhfb = "Nelson H. F. Beebe,
                    University of Utah,
                    Department of Mathematics, 110 LCB,
                    155 S 1400 E RM 233,
                    Salt Lake City, UT 84112-0090, USA,
                    Tel: +1 801 581 5254,
                    FAX: +1 801 581 4148,
                    e-mail: \path|beebe@math.utah.edu|,
                            \path|beebe@acm.org|,
                            \path|beebe@computer.org| (Internet),
                    URL: \path|http://www.math.utah.edu/~beebe/|"}

%%% ====================================================================
%%% Journal abbreviations:

@String{j-CAN-J-MATH            = "Canadian Journal of Mathematics =
                                   Journal canadien de
                                   math{\'e}matiques"}

%%% ====================================================================
%%% Bibliography entries:

@Article{Edward:1997:STN,
  author =       "Julian Edward",
  title =        "Spectral theory for the {Neumann} {Laplacian} on
                 planar domains with horn-like ends",
  journal =      j-CAN-J-MATH,
  volume =       "49",
  number =       "??",
  pages =        "232--262",
  month =        "????",
  year =         "1997",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-1997-012-8",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:07 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v49/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath1990.bib;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  note =         "See corrigendum \cite{Edward:2000:CST}.",
  abstract =     "The spectral theory for the Neumann Laplacian on
                 planar domains with symmetric and horn-like ends is
                 studied. For a large class of such domains and it is
                 proven that the Neumann Laplacian has no singular
                 continuous spectrum and that the pure point spectrum
                 consists of eigenvalues of finite multiplicity which
                 can accumulate only at $0$ or $\infty$. The proof uses
                 Mourre theory.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Stahl:1997:ZSG,
  author =       "Saul Stahl",
  title =        "On the zeros of some genus polynomials",
  journal =      j-CAN-J-MATH,
  volume =       "49",
  number =       "??",
  pages =        "617--640",
  month =        "????",
  year =         "1997",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-1997-029-5",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:07 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v49/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath1990.bib;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  note =         "See erratum \cite{Stahl:2008:EZS}.",
  abstract =     "In the genus polynomial of the graph $G$ and the
                 coefficient of $x^k$ is the number of distinct
                 embeddings of the graph $G$ on the oriented surface of
                 genus $k$. It is shown that for several infinite
                 families of graphs all the zeros of the genus
                 polynomial are real and negative. This implies that
                 their coefficients and which constitute the genus
                 distribution of the graph and are log concave and
                 therefore also unimodal. The geometric distribution of
                 the zeros of some of these polynomials is also
                 investigated and some new genus polynomials are
                 presented.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Froese:1998:UBR,
  author =       "Richard Froese",
  title =        "Upper bounds for the resonance counting function of
                 {Schr{\"o}dinger} operators in odd dimensions",
  journal =      j-CAN-J-MATH,
  volume =       "50",
  number =       "??",
  pages =        "538--546",
  month =        "????",
  year =         "1998",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-1998-029-0",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:07 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v50/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath1990.bib;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  note =         "See correction \cite{Froese:2001:CUB}.",
  abstract =     "The purpose of this note is to provide a simple proof
                 of the sharp polynomial upper bound for the resonance
                 counting function of a Schr{\"o}dinger operator in odd
                 dimensions. At the same time we generalize the result
                 to the class of super-exponentially decreasing
                 potentials.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{vanderPoorten:1999:VDE,
  author =       "Alfred van der Poorten and Kenneth S. Williams",
  title =        "Values of the {Dedekind} Eta Function at Quadratic
                 Irrationalities",
  journal =      j-CAN-J-MATH,
  volume =       "51",
  number =       "1",
  pages =        "176--224",
  month =        feb,
  year =         "1999",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-1999-011-1",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  MRclass =      "11F20, 11E45",
  bibdate =      "Sat Sep 10 15:39:08 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v51/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath1990.bib;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  note =         "See corrigendum \cite{vanderPoorten:2001:VDE}.",
  abstract =     "Let $d$ be the discriminant of an imaginary quadratic
                 field. Let $a$, $b$, $c$ be integers such that $$ b^2 -
                 4ac = d, \quad a > 0, \quad \gcd (a,b,c) = 1. $$ The
                 value of $\bigl|\eta \bigl( (b + \sqrt{d})/2a \bigr)
                 \bigr|$ is determined explicitly, where $\eta(z)$ is
                 Dedekind's eta function $$ \eta (z) = e^{\pi iz/12}
                 \prod^\ty_{m=1} (1 - e^{2\pi imz}) \qquad \bigl( \im(z)
                 > 0 \bigr). \eqno({\rm im}(z)>0). $$",
  acknowledgement = ack-nhfb,
  ams-subject-primary = "11F20, 11E45",
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
  journalabbrev = "CJM",
  keywords =     "binary quadratic forms; Dedekind eta function; form
                 class group; quadratic irrationalities",
  refnum =       "0965",
}

@Article{Aizenberg:2000:SCS,
  author =       "Lev Aizenberg and Alekos Vidras",
  title =        "On Small Complete Sets of Functions",
  journal =      j-CAN-J-MATH,
  volume =       "52",
  number =       "1",
  pages =        "3--30",
  month =        feb,
  year =         "2000",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2000-001-4",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:09 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v52/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Using Local Residues and the Duality Principle a
                 multidimensional variation of the completeness theorems
                 by T. Carleman and A. F. Leontiev is proven for the
                 space of holomorphic functions defined on a suitable
                 open strip $T_{\alpha}\subset {\bf C}^2$. The
                 completeness theorem is a direct consequence of the
                 Cauchy Residue Theorem in a torus. With suitable
                 modifications the same result holds in ${\bf C}^n$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Chan:2000:RTM,
  author =       "Heng Huat Chan and Wen-Chin Liaw",
  title =        "On {Russell}-Type Modular Equations",
  journal =      j-CAN-J-MATH,
  volume =       "52",
  number =       "1",
  pages =        "31--46",
  month =        feb,
  year =         "2000",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2000-002-0",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:09 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v52/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "In this paper, we revisit Russell-type modular
                 equations, a collection of modular equations first
                 studied systematically by R. Russell in 1887. We give a
                 proof of Russell's main theorem and indicate the
                 relations between such equations and the constructions
                 of Hilbert class fields of imaginary quadratic fields.
                 Motivated by Russell's theorem, we state and prove its
                 cubic analogue which allows us to construct
                 Russell-type modular equations in the theory of
                 signature $3$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Chinburg:2000:CTG,
  author =       "T. Chinburg and M. Kolster and V. P. Snaith",
  title =        "Comparison of {$K$}-Theory {Galois} Module Structure
                 Invariants",
  journal =      j-CAN-J-MATH,
  volume =       "52",
  number =       "1",
  pages =        "47--91",
  month =        feb,
  year =         "2000",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2000-003-7",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:09 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v52/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We prove that two, apparently different, class-group
                 valued Galois module structure invariants associated to
                 the algebraic $K$-groups of rings of algebraic integers
                 coincide. This comparison result is particularly
                 important in making explicit calculations.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Dhersin:2000:SCA,
  author =       "Jean-St{\'e}phane Dhersin and Laurent Serlet",
  title =        "A Stochastic Calculus Approach for the {Brownian}
                 Snake",
  journal =      j-CAN-J-MATH,
  volume =       "52",
  number =       "1",
  pages =        "92--118",
  month =        feb,
  year =         "2000",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2000-004-3",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:09 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v52/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We study the ``Brownian snake'' introduced by Le Gall,
                 and also studied by Dynkin, Kuznetsov, Watanabe. We
                 prove that It{\^o}'s formula holds for a wide class of
                 functionals. As a consequence, we give a new proof of
                 the connections between the Brownian snake and
                 super-Brownian motion. We also give a new definition of
                 the Brownian snake as the solution of a well-posed
                 martingale problem. Finally, we construct a modified
                 Brownian snake whose lifetime is driven by a
                 path-dependent stochastic equation. This process gives
                 a representation of some super-processes.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Edward:2000:CST,
  author =       "Julian Edward",
  title =        "Corrigendum to {``Spectral Theory for the Neumann
                 Laplacian on Planar Domains with Horn-Like Ends''}",
  journal =      j-CAN-J-MATH,
  volume =       "52",
  number =       "1",
  pages =        "119--122",
  month =        feb,
  year =         "2000",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2000-005-x",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:09 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v52/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  note =         "See \cite{Edward:1997:STN}.",
  abstract =     "Errors to a previous paper (Canad. J. Math. (2) {\bf
                 49}(1997), 232--262) are corrected. A non-standard
                 regularisation of the auxiliary operator $A$ appearing
                 in Mourre theory is used.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Harbourne:2000:AFP,
  author =       "Brian Harbourne",
  title =        "An Algorithm for Fat Points on {$\mathbf{P}^2$}",
  journal =      j-CAN-J-MATH,
  volume =       "52",
  number =       "1",
  pages =        "123--140",
  month =        feb,
  year =         "2000",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2000-006-6",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:09 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v52/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $F$ be a divisor on the blow-up $X$ of $\pr^2$ at
                 $r$ general points $p_1, \dots, p_r$ and let $L$ be the
                 total transform of a line on $\pr^2$. An approach is
                 presented for reducing the computation of the dimension
                 of the cokernel of the natural map $\mu_F \colon \Gamma
                 \bigl( \CO_X(F) \bigr) \otimes \Gamma \bigl( \CO_X(L)
                 \bigr) \to \Gamma \bigl( \CO_X(F) \otimes \CO_X(L)
                 \bigr)$ to the case that $F$ is ample. As an
                 application, a formula for the dimension of the
                 cokernel of $\mu_F$ is obtained when $r = 7$,
                 completely solving the problem of determining the
                 modules in minimal free resolutions of fat point
                 subschemes\break $m_1 p_1 + \cdots + m_7 p_7 \subset
                 \pr^2$. All results hold for an arbitrary algebraically
                 closed ground field $k$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Li:2000:NRA,
  author =       "Chi-Kwong Li and Tin-Yau Tam",
  title =        "Numerical Ranges Arising from Simple {Lie}
                 Algebras",
  journal =      j-CAN-J-MATH,
  volume =       "52",
  number =       "??",
  pages =        "141--171",
  month =        "????",
  year =         "2000",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2000-007-2",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:09 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v52/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "A unified formulation is given to various
                 generalizations of the classical numerical range
                 including the $c$-numerical range, congruence numerical
                 range, $q$-numerical range and von Neumann range.
                 Attention is given to those cases having connections
                 with classical simple real Lie algebras. Convexity and
                 inclusion relation involving those generalized
                 numerical ranges are investigated. The underlying
                 geometry is emphasized.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Mao:2000:CBC,
  author =       "Zhengyu Mao and Stephen Rallis",
  title =        "Cubic Base Change for {$\GL(2)$}",
  journal =      j-CAN-J-MATH,
  volume =       "52",
  number =       "??",
  pages =        "172--196",
  month =        "????",
  year =         "2000",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2000-008-9",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:09 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v52/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We prove a relative trace formula that establishes the
                 cubic base change for GL(2). One also gets a
                 classification of the image of base change. The case
                 when the field extension is nonnormal gives an example
                 where a trace formula is used to prove lifting which is
                 not endoscopic.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Radjavi:2000:SOS,
  author =       "Heydar Radjavi",
  title =        "Sublinearity and Other Spectral Conditions on a
                 Semigroup",
  journal =      j-CAN-J-MATH,
  volume =       "52",
  number =       "??",
  pages =        "197--224",
  month =        "????",
  year =         "2000",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2000-009-5",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:09 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v52/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Subadditivity, sublinearity, submultiplicativity, and
                 other conditions are considered for spectra of pairs of
                 operators on a Hilbert space. Sublinearity, for
                 example, is a weakening of the well-known property $L$
                 and means $\sigma(A+\lambda B) \subseteq \sigma(A) +
                 \lambda \sigma(B)$ for all scalars $\lambda$. The
                 effect of these conditions is examined on
                 commutativity, reducibility, and triangularizability of
                 multiplicative semigroups of operators. A sample result
                 is that sublinearity of spectra implies simultaneous
                 triangularizability for a semigroup of compact
                 operators.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Tarrio:2000:LCC,
  author =       "Leovigildo Alonso Tarr{\'\i}o and Ana Jerem{\'\i}as
                 L{\'o}pez and Mar{\'\i}a Jos{\'e} Souto Salorio",
  title =        "Localization in Categories of Complexes and Unbounded
                 Resolutions",
  journal =      j-CAN-J-MATH,
  volume =       "52",
  number =       "??",
  pages =        "225--247",
  month =        "????",
  year =         "2000",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2000-010-4",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:09 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v52/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "In this paper we show that for a Grothendieck category
                 $\A$ and a complex $E$ in $\CC(\A)$ there is an
                 associated localization endofunctor $\ell$ in $\D(\A)$.
                 This means that $\ell$ is idempotent (in a natural way)
                 and that the objects that go to 0 by $\ell$ are those
                 of the smallest localizing (= triangulated and stable
                 for coproducts) subcategory of $\D(\A)$ that contains
                 $E$. As applications, we construct K-injective
                 resolutions for complexes of objects of $\A$ and derive
                 Brown representability for $\D(\A)$ from the known
                 result for $\D(R\text{-}\mathbf{mod})$, where $R$ is a
                 ring with unit.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Binding:2000:SPN,
  author =       "Paul A. Binding and Patrick J. Browne and Bruce A.
                 Watson",
  title =        "Spectral Problems for Non-Linear {Sturm--Liouville}
                 Equations with Eigenparameter Dependent Boundary
                 Conditions",
  journal =      j-CAN-J-MATH,
  volume =       "52",
  number =       "??",
  pages =        "248--264",
  month =        "????",
  year =         "2000",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2000-011-1",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:09 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v52/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "The nonlinear Sturm--Liouville equation -(py')' + qy =
                 \lambda(1 - f)ry \text{ on } [0,1] is considered
                 subject to the boundary conditions (a_j\lambda + b_j)
                 y(j) = (c_j\lambda + d_j) (py') (j), \quad j = 0,1.
                 Here $a_0 = 0 = c_0$ and $p,r > 0$ and $q$ are
                 functions depending on the independent variable $x$
                 alone, while $f$ depends on $x$, $y$ and $y'$. Results
                 are given on existence and location of sets of
                 $(\lambda,y)$ bifurcating from the linearized
                 eigenvalues, and for which $y$ has prescribed
                 oscillation count, and on completeness of the $y$ in an
                 appropriate sense.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Brion:2000:OCS,
  author =       "Michel Brion and Aloysius G. Helminck",
  title =        "On Orbit Closures of Symmetric Subgroups in Flag
                 Varieties",
  journal =      j-CAN-J-MATH,
  volume =       "52",
  number =       "??",
  pages =        "265--292",
  month =        "????",
  year =         "2000",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2000-012-9",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:09 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v52/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We study $K$-orbits in $G/P$ where $G$ is a complex
                 connected reductive group, $P \subseteq G$ is a
                 parabolic subgroup, and $K \subseteq G$ is the fixed
                 point subgroup of an involutive automorphism $\theta$.
                 Generalizing work of Springer, we parametrize the
                 (finite) orbit set $K \setminus G \slash P$ and we
                 determine the isotropy groups. As a consequence, we
                 describe the closed (resp. affine) orbits in terms of
                 $\theta$-stable (resp. $\theta$-split) parabolic
                 subgroups. We also describe the decomposition of any
                 $(K,P)$-double coset in $G$ into $(K,B)$-double cosets,
                 where $B \subseteq P$ is a Borel subgroup. Finally, for
                 certain $K$-orbit closures $X \subseteq G/B$, and for
                 any homogeneous line bundle $\mathcal{L}$ on $G/B$
                 having nonzero global sections, we show that the
                 restriction map $\res_X \colon H^0 (G/B, \mathcal{L})
                 \to H^0 (X, \mathcal{L})$ is surjective and that $H^i
                 (X, \mathcal{L}) = 0$ for $i \geq 1$. Moreover, we
                 describe the $K$-module $H^0 (X, \mathcal{L})$. This
                 gives information on the restriction to $K$ of the
                 simple $G$-module $H^0 (G/B, \mathcal{L})$. Our
                 construction is a geometric analogue of Vogan and
                 Sepanski's approach to extremal $K$-types.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Collin:2000:FHK,
  author =       "Olivier Collin",
  title =        "Floer Homology for Knots and
                 {$\SU(2)$}-Representations for Knot Complements and
                 Cyclic Branched Covers",
  journal =      j-CAN-J-MATH,
  volume =       "52",
  number =       "??",
  pages =        "293--305",
  month =        "????",
  year =         "2000",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2000-013-6",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:09 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v52/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "In this article, using 3-orbifolds singular along a
                 knot with underlying space a homology sphere $Y^3$, the
                 question of existence of non-trivial and non-abelian
                 $\SU(2)$-representations of the fundamental group of
                 cyclic branched covers of $Y^3$ along a knot is
                 studied. We first use Floer Homology for knots to
                 derive an existence result of non-abelian
                 $\SU(2)$-representations of the fundamental group of
                 knot complements, for knots with a non-vanishing
                 equivariant signature. This provides information on the
                 existence of non-trivial and non-abelian
                 $\SU(2)$-representations of the fundamental group of
                 cyclic branched covers. We illustrate the method with
                 some examples of knots in $S^3$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Cunningham:2000:CDZ,
  author =       "Clifton Cunningham",
  title =        "Characters of Depth-Zero, Supercuspidal
                 Representations of the Rank-$2$ Symplectic Group",
  journal =      j-CAN-J-MATH,
  volume =       "52",
  number =       "??",
  pages =        "306--347",
  month =        "????",
  year =         "2000",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2000-014-3",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:09 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v52/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "This paper expresses the character of certain
                 depth-zero supercuspidal representations of the rank-2
                 symplectic group as the Fourier transform of a finite
                 linear combination of regular elliptic orbital
                 integrals---an expression which is ideally suited for
                 the study of the stability of those characters.
                 Building on work of F. Murnaghan, our proof involves
                 Lusztig's Generalised Springer Correspondence in a
                 fundamental way, and also makes use of some results on
                 elliptic orbital integrals proved elsewhere by the
                 author using Moy-Prasad filtrations of $p$-adic Lie
                 algebras. Two applications of the main result are
                 considered toward the end of the paper.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Perez:2000:SQO,
  author =       "P. D. Gonz{\'a}lez P{\'e}rez",
  title =        "Singularit{\'e}s quasi-ordinaires toriques et
                 poly{\`e}dre de {Newton} du discriminant. ({French})
                 [{Quasi-ordinary} toric singularities and {Newton}
                 polyhedron of the discriminant]",
  journal =      j-CAN-J-MATH,
  volume =       "52",
  number =       "??",
  pages =        "348--368",
  month =        "????",
  year =         "2000",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2000-016-8",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:09 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v52/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Nous {\'e}tudions les polyn{\^o}mes $F \in \C
                 \{S_\tau\} [Y] $ {\`a} coefficients dans l'anneau de
                 germes de fonctions holomorphes au point sp{\'e}cial
                 d'une vari{\'e}t{\'e} torique affine. Nous
                 g{\'e}n{\'e}ralisons {\`a} ce cas la
                 param{\'e}trisation classique des singularit{\'e}s
                 quasi-ordinaires. Cela fait intervenir d'une part une
                 g{\'e}n{\'e}ralization de l'algorithme de
                 Newton--Puiseux, et d'autre part une relation entre le
                 poly{\`e}dre de Newton du discriminant de $F$ par
                 rapport {\`a} $Y$ et celui de $F$ au moyen du
                 polytope-fibre de Billera et Sturmfels
                 \cite{Sturmfels}. Cela nous permet enfin de calculer,
                 sous des hypoth{\`e}ses de non
                 d{\'e}g{\'e}n{\'e}rescence, les sommets du poly{\`e}dre
                 de Newton du discriminant a partir de celui de $F$, et
                 les coefficients correspondants {\`a} partir des
                 coefficients des exposants de $F$ qui sont dans les
                 ar{\^e}tes de son poly{\`e}dre de Newton.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
  language =     "French",
}

@Article{Granville:2000:UBL,
  author =       "Andrew Granville and R. A. Mollin and H. C. Williams",
  title =        "An Upper Bound on the Least Inert Prime in a Real
                 Quadratic Field",
  journal =      j-CAN-J-MATH,
  volume =       "52",
  number =       "??",
  pages =        "369--380",
  month =        "????",
  year =         "2000",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2000-017-5",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:09 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v52/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "It is shown by a combination of analytic and
                 computational techniques that for any positive
                 fundamental discriminant $D > 3705$, there is always at
                 least one prime $p < \sqrt{D}/2$ such that the
                 Kronecker symbol $\left(D/p\right) = -1$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Miyachi:2000:HSE,
  author =       "Akihiko Miyachi",
  title =        "{Hardy} Space Estimate for the Product of Singular
                 Integrals",
  journal =      j-CAN-J-MATH,
  volume =       "52",
  number =       "??",
  pages =        "381--411",
  month =        "????",
  year =         "2000",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2000-018-2",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:09 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v52/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "$H^p$ estimate for the multilinear operators which are
                 finite sums of pointwise products of singular integrals
                 and fractional integrals is given. An application to
                 Sobolev space and some examples are also given.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Varopoulos:2000:GPT,
  author =       "N. Th. Varopoulos",
  title =        "Geometric and Potential Theoretic Results on {Lie}
                 Groups",
  journal =      j-CAN-J-MATH,
  volume =       "52",
  number =       "??",
  pages =        "412--437",
  month =        "????",
  year =         "2000",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2000-019-x",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:09 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v52/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "The main new results in this paper are contained in
                 the geometric Theorems 1 and 2 of Section 0.1 below and
                 they are related to previous results of M. Gromov and
                 of myself (\cf\ \cite{1}, \cite{2}). These results are
                 used to prove some general potential theoretic
                 estimates on Lie groups (\cf\ Section 0.3) that are
                 related to my previous work in the area (\cf\ \cite{3},
                 \cite{4}) and to some deep recent work of G.
                 Alexopoulos (\cf\ \cite{5}, \cite{21}).",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Wallach:2000:SAT,
  author =       "N. R. Wallach and J. Willenbring",
  title =        "On Some $q$-Analogs of a Theorem of
                 {Kostant--Rallis}",
  journal =      j-CAN-J-MATH,
  volume =       "52",
  number =       "??",
  pages =        "438--448",
  month =        "????",
  year =         "2000",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2000-020-0",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:09 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v52/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "In the first part of this paper generalizations of
                 Hesselink's $q$-analog of Kostant's multiplicity
                 formula for the action of a semisimple Lie group on the
                 polynomials on its Lie algebra are given in the context
                 of the Kostant-Rallis theorem. They correspond to the
                 cases of real semisimple Lie groups with one conjugacy
                 class of Cartan subgroup. In the second part of the
                 paper a $q$-analog of the Kostant-Rallis theorem is
                 given for the real group $\SL(4, \mathbb{R})$ (that is
                 $\SO(4)$ acting on symmetric $4 \times 4$ matrices).
                 This example plays two roles. First it contrasts with
                 the examples of the first part. Second it has
                 implications to the study of entanglement of mixed 2
                 qubit states in quantum computation.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Adler:2000:IRA,
  author =       "Jeffrey D. Adler and Alan Roche",
  title =        "An Intertwining Result for $p$-adic Groups",
  journal =      j-CAN-J-MATH,
  volume =       "52",
  number =       "??",
  pages =        "449--467",
  month =        "????",
  year =         "2000",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2000-021-8",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:09 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v52/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "For a reductive $p$-adic group $G$, we compute the
                 supports of the Hecke algebras for the $K$-types for
                 $G$ lying in a certain frequently-occurring class. When
                 $G$ is classical, we compute the intertwining between
                 any two such $K$-types.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Edmunds:2000:TWE,
  author =       "D. E. Edmunds and V. Kokilashvili and A. Meskhi",
  title =        "Two-Weight Estimates for Singular Integrals Defined on
                 Spaces of Homogeneous Type",
  journal =      j-CAN-J-MATH,
  volume =       "52",
  number =       "??",
  pages =        "468--502",
  month =        "????",
  year =         "2000",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2000-022-5",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:09 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v52/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Two-weight inequalities of strong and weak type are
                 obtained in the context of spaces of homogeneous type.
                 Various applications are given, in particular to Cauchy
                 singular integrals on regular curves.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Gannon:2000:LMI,
  author =       "Terry Gannon",
  title =        "The Level 2 and 3 Modular Invariants for the
                 Orthogonal Algebras",
  journal =      j-CAN-J-MATH,
  volume =       "52",
  number =       "??",
  pages =        "503--538",
  month =        "????",
  year =         "2000",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2000-023-2",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:09 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v52/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "The `1-loop partition function' of a rational
                 conformal field theory is a sesquilinear combination of
                 characters, invariant under a natural action of
                 $\SL_2(\bbZ)$, and obeying an integrality condition.
                 Classifying these is a clearly defined mathematical
                 problem, and at least for the affine Kac--Moody
                 algebras tends to have interesting solutions. This
                 paper finds for each affine algebra $B_r^{(1)}$ and
                 $D_r^{(1)}$ all of these at level $k\le 3$. Previously,
                 only those at level 1 were classified. An extraordinary
                 number of exceptionals appear at level 2---the
                 $B_r^{(1)}$, $D_r^{(1)}$ level 2 classification is
                 easily the most anomalous one known and this uniqueness
                 is the primary motivation for this paper. The only
                 level 3 exceptionals occur for $B_2^{(1)} \cong
                 C_2^{(1)}$ and $D_7^{(1)}$. The $B_ {2,3}$ and $D_
                 {7,3}$ exceptionals are cousins of the ${\cal
                 E}_6$-exceptional and $\E_8$-exceptional, respectively,
                 in the A-D-E classification for $A_1^{(1)}$, while the
                 level 2 exceptionals are related to the lattice
                 invariants of affine $u(1)$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Jantzen:2000:SIR,
  author =       "Chris Jantzen",
  title =        "On Square-Integrable Representations of Classical
                 $p$-adic Groups",
  journal =      j-CAN-J-MATH,
  volume =       "52",
  number =       "??",
  pages =        "539--581",
  month =        "????",
  year =         "2000",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2000-025-7",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:09 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v52/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "In this paper, we use Jacquet module methods to study
                 the problem of classifying discrete series for the
                 classical $p$-adic groups $\Sp(2n,F)$ and
                 $\SO(2n+1,F)$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Jeffrey:2000:SGM,
  author =       "Lisa C. Jeffrey and Jonathan Weitsman",
  title =        "Symplectic Geometry of the Moduli Space of Flat
                 Connections on a {Riemann} Surface: Inductive
                 Decompositions and Vanishing Theorems",
  journal =      j-CAN-J-MATH,
  volume =       "52",
  number =       "??",
  pages =        "582--612",
  month =        "????",
  year =         "2000",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2000-026-4",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:09 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v52/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "This paper treats the moduli space ${\cal M}_
                 {g,1}(\Lambda)$ of representations of the fundamental
                 group of a Riemann surface of genus $g$ with one
                 boundary component which send the loop around the
                 boundary to an element conjugate to $\exp \Lambda$,
                 where $\Lambda$ is in the fundamental alcove of a Lie
                 algebra. We construct natural line bundles over ${\cal
                 M}_ {g,1} (\Lambda)$ and exhibit natural homology
                 cycles representing the Poincar{\'e} dual of the first
                 Chern class. We use these cycles to prove differential
                 equations satisfied by the symplectic volumes of these
                 spaces. Finally we give a bound on the degree of a
                 nonvanishing element of a particular subring of the
                 cohomology of the moduli space of stable bundles of
                 coprime rank $k$ and degree $d$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Ou:2000:SS,
  author =       "Zhiming M. Ou and Kenneth S. Williams",
  title =        "Small Solutions of $\phi_1 x_1^2 + \cdots + \phi_n
                 x_n^2 = 0$",
  journal =      j-CAN-J-MATH,
  volume =       "52",
  number =       "??",
  pages =        "613--632",
  month =        "????",
  year =         "2000",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2000-027-1",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:09 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v52/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $\phi_1, \dots, \phi_n$ $(n\geq 2)$ be nonzero
                 integers such that the equation \sum_{i=1}^n \phi_i
                 x_i^2 = 0 is solvable in integers $x_1, \dots,x_n$ not
                 all zero. It is shown that there exists a solution
                 satisfying 0 < \sum_{i=1}^n |\phi_i| x_i^2 \leq 2
                 |\phi_1 \cdots \phi_n|, and that the constant 2 is best
                 possible.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Walters:2000:CCF,
  author =       "Samuel G. Walters",
  title =        "{Chern} Characters of {Fourier} Modules",
  journal =      j-CAN-J-MATH,
  volume =       "52",
  number =       "??",
  pages =        "633--694",
  month =        "????",
  year =         "2000",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2000-028-9",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:09 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v52/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $A_\theta$ denote the rotation algebra---the
                 universal $C^\ast$-algebra generated by unitaries $U,V$
                 satisfying $VU=e^{2\pi i\theta}UV$, where $\theta$ is a
                 fixed real number. Let $\sigma$ denote the Fourier
                 automorphism of $A_\theta$ defined by $U\mapsto V$,
                 $V\mapsto U^{-1}$, and let $B_\theta = A_\theta
                 \rtimes_\sigma \mathbb{Z}/4\mathbb{Z}$ denote the
                 associated $C^\ast$-crossed product. It is shown that
                 there is a canonical inclusion $\mathbb{Z}^9
                 \hookrightarrow K_0(B_\theta)$ for each $\theta$ given
                 by nine canonical modules. The unbounded trace
                 functionals of $B_\theta$ (yielding the Chern
                 characters here) are calculated to obtain the cyclic
                 cohomology group of order zero $\HC^0(B_\theta)$ when
                 $\theta$ is irrational. The Chern characters of the
                 nine modules---and more importantly, the Fourier
                 module---are computed and shown to involve techniques
                 from the theory of Jacobi's theta functions. Also
                 derived are explicit equations connecting unbounded
                 traces across strong Morita equivalence, which turn out
                 to be non-commutative extensions of certain theta
                 function equations. These results provide the basis for
                 showing that for a dense $G_\delta$ set of values of
                 $\theta$ one has $K_0(B_\theta)\cong\mathbb{Z}^9$ and
                 is generated by the nine classes constructed here.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Carey:2000:CNA,
  author =       "A. Carey and M. Farber and V. Mathai",
  title =        "Correspondences, {von Neumann} Algebras and
                 Holomorphic {$L^2$} Torsion",
  journal =      j-CAN-J-MATH,
  volume =       "52",
  number =       "??",
  pages =        "695--736",
  month =        "????",
  year =         "2000",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2000-030-7",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:09 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v52/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Given a holomorphic Hilbertian bundle on a compact
                 complex manifold, we introduce the notion of
                 holomorphic $L^2$ torsion, which lies in the
                 determinant line of the twisted $L^2$ Dolbeault
                 cohomology and represents a volume element there. Here
                 we utilise the theory of determinant lines of
                 Hilbertian modules over finite von Neumann algebras as
                 developed in \cite{CFM}. This specialises to the
                 Ray--Singer-Quillen holomorphic torsion in the finite
                 dimensional case. We compute a metric variation formula
                 for the holomorphic $L^2$ torsion, which shows that it
                 is {\em not\/} in general independent of the choice of
                 Hermitian metrics on the complex manifold and on the
                 holomorphic Hilbertian bundle, which are needed to
                 define it. We therefore initiate the theory of
                 correspondences of determinant lines, that enables us
                 to define a relative holomorphic $L^2$ torsion for a
                 pair of flat Hilbertian bundles, which we prove is
                 independent of the choice of Hermitian metrics on the
                 complex manifold and on the flat Hilbertian bundles.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Gan:2000:ATM,
  author =       "Wee Teck Gan",
  title =        "An Automorphic Theta Module for Quaternionic
                 Exceptional Groups",
  journal =      j-CAN-J-MATH,
  volume =       "52",
  number =       "??",
  pages =        "737--756",
  month =        "????",
  year =         "2000",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2000-031-4",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:09 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v52/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We construct an automorphic realization of the global
                 minimal representation of quaternionic exceptional
                 groups, using the theory of Eisenstein series, and use
                 this for the study of theta correspondences.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Hanani:2000:PNP,
  author =       "Abdellah Hanani",
  title =        "Le probl{\`e}me de {Neumann} pour certaines
                 {\'e}quations du type de {Monge--Amp{\`e}re} sur une
                 vari{\'e}t{\'e} riemannienne. ({French}) [{The}
                 {Neumann} problem for certain {Monge--Amp{\`e}re}-type
                 equations of {Riemannian} type]",
  journal =      j-CAN-J-MATH,
  volume =       "52",
  number =       "??",
  pages =        "757--788",
  month =        "????",
  year =         "2000",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2000-032-1",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:09 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v52/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $(M_n,g)$ be a strictly convex riemannian manifold
                 with $C^{\infty}$ boundary. We prove the
                 existence\break of classical solution for the nonlinear
                 elliptic partial differential equation of
                 Monge-Amp{\`e}re:\break $\det (-u\delta^i_j +
                 \nabla^i_ju) = F(x, \nabla u;u)$ in $M$ with a Neumann
                 condition on the boundary of the form $\frac{\partial
                 u}{\partial \nu} = \varphi (x,u)$, where $F \in
                 C^{\infty} (TM \times \bbR)$ is an everywhere strictly
                 positive function satisfying some assumptions, $\nu$
                 stands for the unit normal vector field and $\varphi
                 \in C^{\infty} (\partial M \times \bbR)$ is a
                 non-decreasing function in $u$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
  language =     "French",
}

@Article{Kaminska:2000:DPP,
  author =       "Anna Kami{\'n}ska and Mieczyslaw Mastylo",
  title =        "The {Dunford--Pettis} Property for Symmetric Spaces",
  journal =      j-CAN-J-MATH,
  volume =       "52",
  number =       "??",
  pages =        "789--803",
  month =        "????",
  year =         "2000",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2000-033-9",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:09 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v52/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "A complete description of symmetric spaces on a
                 separable measure space with the Dunford-Pettis
                 property is given. It is shown that $\ell^1$, $c_0$ and
                 $\ell^{\infty}$ are the only symmetric sequence spaces
                 with the Dunford-Pettis property, and that in the class
                 of symmetric spaces on $(0, \alpha)$, $0 < \alpha \leq
                 \infty$, the only spaces with the Dunford-Pettis
                 property are $L^1$, $L^{\infty}$, $L^1 \cap
                 L^{\infty}$, $L^1 + L^{\infty}$, $(L^{\infty})^\circ$
                 and $(L^1 + L^{\infty})^\circ$, where $X^\circ$ denotes
                 the norm closure of $L^1 \cap L^{\infty}$ in $X$. It is
                 also proved that all Banach dual spaces of $L^1 \cap
                 L^{\infty}$ and $L^1 + L^{\infty}$ have the
                 Dunford-Pettis property. New examples of Banach spaces
                 showing that the Dunford-Pettis property is not a
                 three-space property are also presented. As
                 applications we obtain that the spaces $(L^1 +
                 L^{\infty})^\circ$ and $(L^{\infty})^\circ$ have a
                 unique symmetric structure, and we get a
                 characterization of the Dunford-Pettis property of some
                 K{\"o}the-Bochner spaces.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Kottwitz:2000:DIT,
  author =       "Robert E. Kottwitz and Jonathan D. Rogawski",
  title =        "The Distributions in the Invariant Trace Formula Are
                 Supported on Characters",
  journal =      j-CAN-J-MATH,
  volume =       "52",
  number =       "??",
  pages =        "804--814",
  month =        "????",
  year =         "2000",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2000-034-6",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:09 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v52/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "J. Arthur put the trace formula in invariant form for
                 all connected reductive groups and certain disconnected
                 ones. However his work was written so as to apply to
                 the general disconnected case, modulo two missing
                 ingredients. This paper supplies one of those missing
                 ingredients, namely an argument in Galois cohomology of
                 a kind first used by D. Kazhdan in the connected
                 case.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Lubinsky:2000:MMM,
  author =       "D. S. Lubinsky",
  title =        "On the Maximum and Minimum Modulus of Rational
                 Functions",
  journal =      j-CAN-J-MATH,
  volume =       "52",
  number =       "??",
  pages =        "815--832",
  month =        "????",
  year =         "2000",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2000-035-3",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:09 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v52/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We show that if $m$, $n\geq 0$, $\lambda > 1$, and $R$
                 is a rational function with numerator, denominator of
                 degree $\leq m$, $n$, respectively, then there exists a
                 set $\mathcal{S}\subset [0,1] $ of linear measure $\geq
                 \frac{1}{4}\exp (-\frac{13}{\log \lambda})$ such that
                 for $r\in \mathcal{S}$, \[ \max_{|z| =r}| R(z)| /
                 \min_{|z| =r} | R(z) |\leq \lambda ^{m+n}. \] Here, one
                 may not replace $\frac{1}{4}\exp ( -\frac{13}{\log
                 \lambda})$ by $\exp (-\frac{2-\varepsilon}{\log
                 \lambda})$, for any $\varepsilon > 0$. As our
                 motivating application, we prove a convergence result
                 for diagonal Pad{\'e} approximants for functions
                 meromorphic in the unit ball.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Minac:2000:GUQ,
  author =       "J{\'a}n Min{\'a}c and Tara L. Smith",
  title =        "{$W$}-Groups under Quadratic Extensions of Fields",
  journal =      j-CAN-J-MATH,
  volume =       "52",
  number =       "??",
  pages =        "833--848",
  month =        "????",
  year =         "2000",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2000-036-0",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:09 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v52/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "To each field $F$ of characteristic not $2$, one can
                 associate a certain Galois group $\G_F$, the so-called
                 W-group of $F$, which carries essentially the same
                 information as the Witt ring $W(F)$ of $F$. In this
                 paper we investigate the connection between $\wg$ and
                 $\G_{F(\sqrt{a})}$, where $F(\sqrt{a})$ is a proper
                 quadratic extension of $F$. We obtain a precise
                 description in the case when $F$ is a pythagorean
                 formally real field and $a = -1$, and show that the
                 W-group of a proper field extension $K/F$ is a subgroup
                 of the W-group of $F$ if and only if $F$ is a formally
                 real pythagorean field and $K = F(\sqrt{-1})$. This
                 theorem can be viewed as an analogue of the classical
                 Artin--Schreier's theorem describing fields fixed by
                 finite subgroups of absolute Galois groups. We also
                 obtain precise results in the case when $a$ is a
                 double-rigid element in $F$. Some of these results
                 carry over to the general setting.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Sukochev:2000:OEF,
  author =       "F. A. Sukochev",
  title =        "Operator Estimates for {Fredholm} Modules",
  journal =      j-CAN-J-MATH,
  volume =       "52",
  number =       "??",
  pages =        "849--896",
  month =        "????",
  year =         "2000",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2000-037-8",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:09 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v52/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We study estimates of the type \Vert \phi(D) -
                 \phi(D_0) \Vert_{\emt} \leq C \cdot \Vert D - D_0
                 \Vert^{\alpha}, \quad \alpha = \frac12, 1 where
                 $\phi(t) = t(1 + t^2)^{-1/2}$, $D_0 = D_0^*$ is an
                 unbounded linear operator affiliated with a semifinite
                 von Neumann algebra $\calM$, $D - D_0$ is a bounded
                 self-adjoint linear operator from $\calM$ and $(1 +
                 D_0^2)^{-1/2} \in \emt$, where $\emt$ is a symmetric
                 operator space associated with $\calM$. In particular,
                 we prove that $\phi(D) - \phi(D_0)$ belongs to the
                 non-commutative $L_p$-space for some $p \in (1,
                 \infty)$, provided $(1 + D_0^2)^{-1/2}$ belongs to the
                 non-commutative weak $L_r$-space for some $r \in
                 [1,p)$. In the case $\calM = \calB (\calH)$ and $1 \leq
                 p \leq 2$, we show that this result continues to hold
                 under the weaker assumption $(1 + D_0^2)^{-1/2} \in
                 \calC_p$. This may be regarded as an odd counterpart of
                 A. Connes' result for the case of even Fredholm
                 modules.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Christiansen:2000:HOS,
  author =       "T. J. Christiansen and M. S. Joshi",
  title =        "Higher Order Scattering on Asymptotically {Euclidean}
                 Manifolds",
  journal =      j-CAN-J-MATH,
  volume =       "52",
  number =       "??",
  pages =        "897--919",
  month =        "????",
  year =         "2000",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2000-038-5",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:09 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v52/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We develop a scattering theory for perturbations of
                 powers of the Laplacian on asymptotically Euclidean
                 manifolds. The (absolute) scattering matrix is shown to
                 be a Fourier integral operator associated to the
                 geodesic flow at time $\pi$ on the boundary.
                 Furthermore, it is shown that on $\Real^n$ the
                 asymptotics of certain short-range perturbations of
                 $\Delta^k$ can be recovered from the scattering matrix
                 at a finite number of energies.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Evans:2000:RIL,
  author =       "W. D. Evans and B. Opic",
  title =        "Real {Interpolation} with Logarithmic Functors and
                 Reiteration",
  journal =      j-CAN-J-MATH,
  volume =       "52",
  number =       "??",
  pages =        "920--960",
  month =        "????",
  year =         "2000",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2000-039-2",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:09 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v52/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We present {``reiteration theorems''} with limiting
                 values $\theta=0$ and $\theta = 1$ for a real
                 interpolation method involving broken-logarithmic
                 functors. The resulting spaces lie outside of the
                 original scale of spaces and to describe them new
                 interpolation functors are introduced. For an ordered
                 couple of (quasi-) Banach spaces similar results were
                 presented without proofs by Doktorskii in [D].",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Ismail:2000:AES,
  author =       "Mourad E. H. Ismail and Jim Pitman",
  title =        "Algebraic Evaluations of Some {Euler} Integrals,
                 Duplication Formulae for {Appell}'s Hypergeometric
                 Function {$F_1$}, and {Brownian} Variations",
  journal =      j-CAN-J-MATH,
  volume =       "52",
  number =       "??",
  pages =        "961--981",
  month =        "????",
  year =         "2000",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2000-040-3",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:09 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v52/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Explicit evaluations of the symmetric Euler integral
                 $\int_0^1 u^{\alpha} (1-u)^{\alpha} f(u) du$ are
                 obtained for some particular functions $f$. These
                 evaluations are related to duplication formulae for
                 Appell's hypergeometric function $F_1$ which give
                 reductions of $F_1 (\alpha, \beta, \beta, 2 \alpha, y,
                 z)$ in terms of more elementary functions for arbitrary
                 $\beta$ with $z = y/(y-1)$ and for $\beta = \alpha +
                 \half$ with arbitrary $y$, $z$. These duplication
                 formulae generalize the evaluations of some symmetric
                 Euler integrals implied by the following result: if a
                 standard Brownian bridge is sampled at time $0$, time
                 $1$, and at $n$ independent random times with uniform
                 distribution on $[0,1]$, then the broken line
                 approximation to the bridge obtained from these $n+2$
                 values has a total variation whose mean square is
                 $n(n+1)/(2n+1)$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Larusson:2000:HFS,
  author =       "Finnur L{\'a}russon",
  title =        "Holomorphic Functions of Slow Growth on Nested
                 Covering Spaces of Compact Manifolds",
  journal =      j-CAN-J-MATH,
  volume =       "52",
  number =       "??",
  pages =        "982--998",
  month =        "????",
  year =         "2000",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2000-041-0",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:09 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v52/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $Y$ be an infinite covering space of a projective
                 manifold $M$ in $\P^N$ of dimension $n\geq 2$. Let $C$
                 be the intersection with $M$ of at most $n-1$ generic
                 hypersurfaces of degree $d$ in $\mathbb{P}^N$. The
                 preimage $X$ of $C$ in $Y$ is a connected submanifold.
                 Let $\phi$ be the smoothed distance from a fixed point
                 in $Y$ in a metric pulled up from $M$. Let $\O_\phi(X)$
                 be the Hilbert space of holomorphic functions $f$ on
                 $X$ such that $f^2 e^{-\phi}$ is integrable on $X$, and
                 define $\O_\phi(Y)$ similarly. Our main result is that
                 (under more general hypotheses than described here) the
                 restriction $\O_\phi(Y) \to \O_\phi(X)$ is an
                 isomorphism for $d$ large enough. This yields new
                 examples of Riemann surfaces and domains of holomorphy
                 in $\C^n$ with corona. We consider the important
                 special case when $Y$ is the unit ball $\B$ in $\C^n$,
                 and show that for $d$ large enough, every bounded
                 holomorphic function on $X$ extends to a unique
                 function in the intersection of all the nontrivial
                 weighted Bergman spaces on $\B$. Finally, assuming that
                 the covering group is arithmetic, we establish three
                 dichotomies concerning the extension of bounded
                 holomorphic and harmonic functions from $X$ to $\B$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Mankiewicz:2000:CGO,
  author =       "Piotr Mankiewicz",
  title =        "Compact Groups of Operators on Subproportional
                 Quotients of $l^m_1$",
  journal =      j-CAN-J-MATH,
  volume =       "52",
  number =       "??",
  pages =        "999--1017",
  month =        "????",
  year =         "2000",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2000-042-8",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:09 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v52/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "It is proved that a {``typical''} $n$-dimensional
                 quotient $X_n$ of $l^m_1$ with $n = m^{\sigma}$, $0 <
                 \sigma < 1$, has the property \Average \int_G
                 \|Tx\|_{X_n} \,dh_G(T) \geq \frac{c}{\sqrt{n\log^3 n}}
                 \biggl( n - \int_G |\tr T| \,dh_G (T) \biggr), for
                 every compact group $G$ of operators acting on $X_n$,
                 where $d_G(T)$ stands for the normalized Haar measure
                 on $G$ and the average is taken over all extreme points
                 of the unit ball of $X_n$. Several consequences of this
                 estimate are presented.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Reichstein:2000:EDA,
  author =       "Zinovy Reichstein and Boris Youssin",
  title =        "Essential Dimensions of Algebraic Groups and a
                 Resolution Theorem for {$G$}-Varieties",
  journal =      j-CAN-J-MATH,
  volume =       "52",
  number =       "??",
  pages =        "1018--1056",
  month =        "????",
  year =         "2000",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2000-043-5",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:09 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v52/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $G$ be an algebraic group and let $X$ be a
                 generically free $G$-variety. We show that $X$ can be
                 transformed, by a sequence of blowups with smooth
                 $G$-equivariant centers, into a $G$-variety $X'$ with
                 the following property the stabilizer of every point of
                 $X'$ is isomorphic to a semidirect product $U x A$ of a
                 unipotent group $U$ and a diagonalizable group $A$. As
                 an application of this result, we prove new lower
                 bounds on essential dimensions of some algebraic
                 groups. We also show that certain polynomials in one
                 variable cannot be simplified by a Tschirnhaus
                 transformation.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Urakawa:2000:SIG,
  author =       "Hajime Urakawa",
  title =        "The Spectrum of an Infinite Graph",
  journal =      j-CAN-J-MATH,
  volume =       "52",
  number =       "??",
  pages =        "1057--1084",
  month =        "????",
  year =         "2000",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2000-044-2",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:09 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v52/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "In this paper, we consider the (essential) spectrum of
                 the discrete Laplacian of an infinite graph. We
                 introduce a new quantity for an infinite graph, in
                 terms of which we give new lower bound estimates of the
                 (essential) spectrum and give also upper bound
                 estimates when the infinite graph is bipartite. We give
                 sharp estimates of the (essential) spectrum for several
                 examples of infinite graphs.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Xing:2000:CMA,
  author =       "Yang Xing",
  title =        "Complex {Monge--Amp{\`e}re} Measures of
                 Plurisubharmonic Functions with Bounded Values Near the
                 Boundary",
  journal =      j-CAN-J-MATH,
  volume =       "52",
  number =       "??",
  pages =        "1085--1100",
  month =        "????",
  year =         "2000",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2000-045-x",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:09 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v52/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We give a characterization of bounded plurisubharmonic
                 functions by using their complex Monge--Amp{\`e}re
                 measures. This implies a both necessary and sufficient
                 condition for a positive measure to be complex
                 Monge--Amp{\`e}re measure of some bounded
                 plurisubharmonic function.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Zhang:2000:DSC,
  author =       "Yuanli Zhang",
  title =        "Discrete Series of Classical Groups",
  journal =      j-CAN-J-MATH,
  volume =       "52",
  number =       "??",
  pages =        "1101--1120",
  month =        "????",
  year =         "2000",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2000-046-7",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:09 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v52/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $G_n$ be the split classical groups $\Sp(2n)$,
                 $\SO(2n+1)$ and $\SO(2n)$ defined over a $p$-adic field
                 F or the quasi-split classical groups $U(n,n)$ and
                 $U(n+1,n)$ with respect to a quadratic extension $E/F$.
                 We prove the self-duality of unitary supercuspidal data
                 of standard Levi subgroups of $G_n(F)$ which give
                 discrete series representations of $G_n(F)$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Ballantine:2000:RTB,
  author =       "Cristina M. Ballantine",
  title =        "{Ramanujan} Type Buildings",
  journal =      j-CAN-J-MATH,
  volume =       "52",
  number =       "??",
  pages =        "1121--1148",
  month =        "????",
  year =         "2000",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2000-047-4",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:09 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v52/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We will construct a finite union of finite quotients
                 of the affine building of the group $\GL_3$ over the
                 field of $p$-adic numbers $\mathbb{Q}_p$. We will view
                 this object as a hypergraph and estimate the spectrum
                 of its underlying graph.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Ban:2000:CRQ,
  author =       "Chunsheng Ban and Lee J. McEwan",
  title =        "Canonical Resolution of a Quasi-ordinary Surface
                 Singularity",
  journal =      j-CAN-J-MATH,
  volume =       "52",
  number =       "??",
  pages =        "1149--1163",
  month =        "????",
  year =         "2000",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2000-048-1",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:09 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v52/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We describe the embedded resolution of an irreducible
                 quasi-ordinary surface singularity $(V,p)$ which
                 results from applying the canonical resolution of
                 Bierstone-Milman to $(V,p)$. We show that this process
                 depends solely on the characteristic pairs of $(V,p)$,
                 as predicted by Lipman. We describe the process
                 explicitly enough that a resolution graph for $f$ could
                 in principle be obtained by computer using only the
                 characteristic pairs.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Elliott:2000:POG,
  author =       "George A. Elliott and Jesper Villadsen",
  title =        "Perforated Ordered {$\K_0$}-Groups",
  journal =      j-CAN-J-MATH,
  volume =       "52",
  number =       "??",
  pages =        "1164--1191",
  month =        "????",
  year =         "2000",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2000-049-9",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:09 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v52/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "A simple $\C^*$-algebra is constructed for which the
                 Murray-von Neumann equivalence classes of projections,
                 with the usual addition---induced by addition of
                 orthogonal projections---form the additive semi-group
                 \{0,2,3, \dots\}. (This is a particularly simple
                 instance of the phenomenon of perforation of the
                 ordered $\K_0$-group, which has long been known in the
                 commutative case---for instance, in the case of the
                 four-sphere---and was recently observed by the second
                 author in the case of a simple $\C^*$-algebra.)",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Herb:2000:OIA,
  author =       "Rebecca A. Herb",
  title =        "Orbital Integrals on $p$-Adic {Lie} Algebras",
  journal =      j-CAN-J-MATH,
  volume =       "52",
  number =       "??",
  pages =        "1192--1220",
  month =        "????",
  year =         "2000",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2000-050-x",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:09 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v52/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $G$ be a connected reductive $p$-adic group and
                 let $\frakg$ be its Lie algebra. Let $\calO$ be any
                 $G$-orbit in $\frakg$. Then the orbital integral
                 $\mu_{\calO}$ corresponding to $\calO$ is an invariant
                 distribution on $\frakg $, and Harish-Chandra proved
                 that its Fourier transform $\hat \mu_{\calO}$ is a
                 locally constant function on the set $\frakg'$ of
                 regular semisimple elements of $\frakg$. If $\frakh$ is
                 a Cartan subalgebra of $\frakg$, and $\omega$ is a
                 compact subset of $\frakh\cap\frakg'$, we give a
                 formula for $\hat \mu_{\calO}(tH)$ for $H\in\omega$ and
                 $t\in F^ \times $ sufficiently large. In the case that
                 $\calO$ is a regular semisimple orbit, the formula is
                 already known by work of Waldspurger. In the case that
                 $\calO$ is a nilpotent orbit, the behavior of
                 $\hat\mu_{\calO}$ at infinity is already known because
                 of its homogeneity properties. The general case
                 combines aspects of these two extreme cases. The
                 formula for $\hat\mu _{\calO}$ at infinity can be used
                 to formulate a ``theory of the constant term'' for the
                 space of distributions spanned by the Fourier
                 transforms of orbital integrals. It can also be used to
                 show that the Fourier transforms of orbital integrals
                 are ``linearly independent at infinity.''",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Hopenwasser:2000:NRT,
  author =       "Alan Hopenwasser and Justin R. Peters and Stephen C.
                 Power",
  title =        "Nest Representations of {TAF} Algebras",
  journal =      j-CAN-J-MATH,
  volume =       "52",
  number =       "??",
  pages =        "1221--1234",
  month =        "????",
  year =         "2000",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2000-051-7",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:09 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v52/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "A nest representation of a strongly maximal TAF
                 algebra $A$ with diagonal $D$ is a representation $\pi$
                 for which $\lat \pi(A)$ is totally ordered. We prove
                 that $\ker \pi$ is a meet irreducible ideal if the
                 spectrum of $A$ is totally ordered or if (after an
                 appropriate similarity) the von Neumann algebra
                 $\pi(D)''$ contains an atom.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Hurtubise:2000:RWF,
  author =       "J. C. Hurtubise and L. C. Jeffrey",
  title =        "Representations with Weighted Frames and Framed
                 Parabolic Bundles",
  journal =      j-CAN-J-MATH,
  volume =       "52",
  number =       "??",
  pages =        "1235--1268",
  month =        "????",
  year =         "2000",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2000-052-4",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:09 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v52/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "There is a well-known correspondence (due to Mehta and
                 Seshadri in the unitary case, and extended by Bhosle
                 and Ramanathan to other groups), between the symplectic
                 variety $M_h$ of representations of the fundamental
                 group of a punctured Riemann surface into a compact
                 connected Lie group $G$, with fixed conjugacy classes
                 $h$ at the punctures, and a complex variety ${\cal
                 M}_h$ of holomorphic bundles on the unpunctured surface
                 with a parabolic structure at the puncture points. For
                 $G = \SU(2)$, we build a symplectic variety $P$ of
                 pairs (representations of the fundamental group into
                 $G$, ``weighted frame'' at the puncture points), and a
                 corresponding complex variety ${\cal P}$ of moduli of
                 ``framed parabolic bundles'', which encompass
                 respectively all of the spaces $M_h$, ${\cal M}_h$, in
                 the sense that one can obtain $M_h$ from $P$ by
                 symplectic reduction, and ${\cal M}_h$ from ${\cal P}$
                 by a complex quotient. This allows us to explain
                 certain features of the toric geometry of the $\SU(2)$
                 moduli spaces discussed by Jeffrey and Weitsman, by
                 giving the actual toric variety associated with their
                 integrable system.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Spriano:2000:WRE,
  author =       "Luca Spriano",
  title =        "Well Ramified Extensions of Complete Discrete
                 Valuation Fields with Applications to the {Kato}
                 Conductor",
  journal =      j-CAN-J-MATH,
  volume =       "52",
  number =       "??",
  pages =        "1269--1309",
  month =        "????",
  year =         "2000",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2000-053-1",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:09 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v52/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We study extensions $L/K$ of complete discrete
                 valuation fields $K$ with residue field $\oK$ of
                 characteristic $p > 0$, which we do not assume to be
                 perfect. Our work concerns ramification theory for such
                 extensions, in particular we show that all classical
                 properties which are true under the hypothesis {\em
                 ``the residue field extension $\oL/\oK$ is separable''}
                 are still valid under the more general hypothesis that
                 the valuation ring extension is monogenic. We also show
                 that conversely, if classical ramification properties
                 hold true for an extension $L/K$, then the extension of
                 valuation rings is monogenic. These are the ``{\em well
                 ramified}'' extensions. We show that there are only
                 three possible types of well ramified extensions and we
                 give examples. In the last part of the paper we
                 consider, for the three types, Kato's generalization of
                 the conductor, which we show how to bound in certain
                 cases.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Yagunov:2000:HHP,
  author =       "Serge Yagunov",
  title =        "On the Homology of {$\GL_n$} and Higher Pre-{Bloch}
                 Groups",
  journal =      j-CAN-J-MATH,
  volume =       "52",
  number =       "??",
  pages =        "1310--1338",
  month =        "????",
  year =         "2000",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2000-054-9",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:09 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v52/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "For every integer $n > 1$ and infinite field $F$ we
                 construct a spectral sequence converging to the
                 homology of $\GL_n(F)$ relative to the group of
                 monomial matrices $\GM_n(F)$. Some entries in
                 $E^2$-terms of these spectral sequences may be
                 interpreted as a natural generalization of the Bloch
                 group to higher dimensions. These groups may be
                 characterized as homology of $\GL_n$ relatively to
                 $\GL_{n-1}$ and $\GM_n$. We apply the machinery
                 developed to the investigation of stabilization maps in
                 homology of General Linear Groups.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Anonymous:2000:AII,
  author =       "Anonymous",
  title =        "Author Index - Index des auteurs --- for 2000 - pour
                 2000",
  journal =      j-CAN-J-MATH,
  volume =       "52",
  number =       "??",
  pages =        "1339--1343",
  month =        "????",
  year =         "2000",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2000-055-6",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:09 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v52/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Bell:2001:EGG,
  author =       "J. P. Bell",
  title =        "The Equivariant {Grothendieck} Groups of the
                 {Russell--Koras} Threefolds",
  journal =      j-CAN-J-MATH,
  volume =       "53",
  number =       "??",
  pages =        "3--32",
  month =        "????",
  year =         "2001",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2001-001-x",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v53/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "The Russell-Koras contractible threefolds are the
                 smooth affine threefolds having a hyperbolic
                 $\mathbb{C}^*$-action with quotient isomorphic to the
                 corresponding quotient of the linear action on the
                 tangent space at the unique fixed point. Koras and
                 Russell gave a concrete description of all such
                 threefolds and determined many interesting properties
                 they possess. We use this description and these
                 properties to compute the equivariant Grothendieck
                 groups of these threefolds. In addition, we give
                 certain equivariant invariants of these rings.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Borwein:2001:MFP,
  author =       "Peter Borwein and Kwok-Kwong Stephen Choi",
  title =        "Merit Factors of Polynomials Formed by {Jacobi}
                 Symbols",
  journal =      j-CAN-J-MATH,
  volume =       "53",
  number =       "??",
  pages =        "33--50",
  month =        "????",
  year =         "2001",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2001-002-6",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v53/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We give explicit formulas for the $L_4$ norm (or
                 equivalently for the merit factors) of various
                 sequences of polynomials related to the polynomials
                 f(z) := \sum_{n=0}^{N-1} \leq n {N} z^n. and f_t(z) =
                 \sum_{n=0}^{N-1} \leq {n+t}{N} z^n. where
                 $(\frac{\cdot}{N})$ is the Jacobi symbol. Two cases of
                 particular interest are when $N = pq$ is a product of
                 two primes and $p = q+2$ or $p = q+4$. This extends
                 work of H{\o}holdt, Jensen and Jensen and of the
                 authors. This study arises from a number of conjectures
                 of Erd\H{o}s, Littlewood and others that concern the
                 norms of polynomials with $-1,1$ coefficients on the
                 disc. The current best examples are of the above form
                 when $N$ is prime and it is natural to see what happens
                 for composite $N$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Dean:2001:CFP,
  author =       "Andrew Dean",
  title =        "A Continuous Field of Projectionless
                 {$C^*$}-Algebras",
  journal =      j-CAN-J-MATH,
  volume =       "53",
  number =       "??",
  pages =        "51--72",
  month =        "????",
  year =         "2001",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2001-003-2",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v53/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We use some results about stable relations to show
                 that some of the simple, stable, projectionless crossed
                 products of $O_2$ by $\bR$ considered by Kishimoto and
                 Kumjian are inductive limits of type I $C^*$-algebras.
                 The type I $C^*$-algebras that arise are pullbacks of
                 finite direct sums of matrix algebras over the
                 continuous functions on the unit interval by finite
                 dimensional $C^*$-algebras.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Fukui:2001:STW,
  author =       "Toshizumi Fukui and Laurentiu Paunescu",
  title =        "Stratification Theory from the Weighted Point of
                 View",
  journal =      j-CAN-J-MATH,
  volume =       "53",
  number =       "??",
  pages =        "73--97",
  month =        "????",
  year =         "2001",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2001-004-9",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v53/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "In this paper, we investigate stratification theory in
                 terms of the defining equations of strata and maps
                 (without tube systems), offering a concrete approach to
                 show that some given family is topologically trivial.
                 In this approach, we consider a weighted version of
                 $(w)$-regularity condition and Kuo's ratio test
                 condition.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Khuri-Makdisi:2001:CAC,
  author =       "Kamal Khuri-Makdisi",
  title =        "On the Curves Associated to Certain Rings of
                 Automorphic Forms",
  journal =      j-CAN-J-MATH,
  volume =       "53",
  number =       "??",
  pages =        "98--121",
  month =        "????",
  year =         "2001",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2001-005-5",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v53/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "In a 1987 paper, Gross introduced certain curves
                 associated to a definite quaternion algebra $B$ over
                 $\Q$; he then proved an analog of his result with
                 Zagier for these curves. In Gross' paper, the curves
                 were defined in a somewhat {\em ad hoc\/} manner. In
                 this article, we present an interpretation of these
                 curves as projective varieties arising from graded
                 rings of automorphic forms on $B^\times$, analogously
                 to the construction in the Satake compactification. To
                 define such graded rings, one needs to introduce a
                 ``multiplication'' of automorphic forms that arises
                 from the representation ring of $B^\times$. The
                 resulting curves are unions of projective lines
                 equipped with a collection of Hecke correspondences.
                 They parametrize two-dimensional complex tori with
                 quaternionic multiplication. In general, these complex
                 tori are not abelian varieties; they are algebraic
                 precisely when they correspond to $\CM$ points on these
                 curves, and are thus isogenous to a product $E \times
                 E$, where $E$ is an elliptic curve with complex
                 multiplication. For these $\CM$ points one can make a
                 relation between the action of the $p$-th Hecke
                 operator and Frobenius at $p$, similar to the
                 well-known congruence relation of Eichler and
                 Shimura.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Levy:2001:TIP,
  author =       "Jason Levy",
  title =        "A Truncated Integral of the {Poisson} Summation
                 Formula",
  journal =      j-CAN-J-MATH,
  volume =       "53",
  number =       "??",
  pages =        "122--160",
  month =        "????",
  year =         "2001",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2001-006-1",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v53/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $G$ be a reductive algebraic group defined over
                 $\bQ$, with anisotropic centre. Given a rational action
                 of $G$ on a finite-dimensional vector space $V$, we
                 analyze the truncated integral of the theta series
                 corresponding to a Schwartz-Bruhat function on
                 $V(\bA)$. The Poisson summation formula then yields an
                 identity of distributions on $V(\bA)$. The truncation
                 used is due to Arthur.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Lin:2001:CST,
  author =       "Huaxin Lin",
  title =        "Classification of Simple Tracially {AF}
                 {$C^*$}-Algebras",
  journal =      j-CAN-J-MATH,
  volume =       "53",
  number =       "??",
  pages =        "161--194",
  month =        "????",
  year =         "2001",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2001-007-8",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v53/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We prove that pre-classifiable (see 3.1) simple
                 nuclear tracially AF \CA s (TAF) are classified by
                 their $K$-theory. As a consequence all simple, locally
                 AH and TAF \CA s are in fact AH algebras (it is known
                 that there are locally AH algebras that are not AH). We
                 also prove the following Rationalization Theorem. Let
                 $A$ and $B$ be two unital separable nuclear simple TAF
                 \CA s with unique normalized traces satisfying the
                 Universal Coefficient Theorem. If $A$ and $B$ have the
                 same (ordered and scaled) $K$-theory and $K_0 (A)_+$ is
                 locally finitely generated, then $A \otimes Q \cong B
                 \otimes Q$, where $Q$ is the UHF-algebra with the
                 rational $K_0$. Classification results (with
                 restriction on $K_0$-theory) for the above \CA s are
                 also obtained. For example, we show that, if $A$ and
                 $B$ are unital nuclear separable simple TAF \CA s with
                 the unique normalized trace satisfying the UCT and with
                 $K_1(A) = K_1(B)$, and $A$ and $B$ have the same
                 rational (scaled ordered) $K_0$, then $A \cong B$.
                 Similar results are also obtained for some cases in
                 which $K_0$ is non-divisible such as $K_0(A) =
                 \mathbf{Z} [1/2]$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Mokler:2001:SMS,
  author =       "Claus Mokler",
  title =        "On the {Steinberg} Map and {Steinberg} Cross-Section
                 for a Symmetrizable Indefinite {Kac--Moody} Group",
  journal =      j-CAN-J-MATH,
  volume =       "53",
  number =       "??",
  pages =        "195--211",
  month =        "????",
  year =         "2001",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2001-008-4",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v53/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $G$ be a symmetrizable indefinite Kac--Moody group
                 over $\C$. Let $\Tr_{\La_1}, \dots, \Tr_{\La_{2n-l}}$
                 be the characters of the fundamental irreducible
                 representations of $G$, defined as convergent series on
                 a certain part $G^{\tralg} \subseteq G$. Following
                 Steinberg in the classical case and Br{\"u}chert in the
                 affine case, we define the Steinberg map $\chi :=
                 (\Tr_{\La_1}, \dots, \Tr_{\La_{2n-l}})$ as well as the
                 Steinberg cross section $C$, together with a natural
                 parametrisation $\omega \colon \C^n \times
                 (\C^\times)^{\,n-l} \to C$. We investigate the local
                 behaviour of $\chi$ on $C$ near $\omega \bigl( (0,
                 \dots,0) \times (1, \dots,1) \bigr)$, and we show that
                 there exists a neighborhood of $(0, \dots,0) \times (1,
                 \dots,1)$, on which $\chi \circ \omega$ is a regular
                 analytical map, satisfying a certain functional
                 identity. This identity has its origin in an action of
                 the center of $G$ on $C$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Puppe:2001:GAC,
  author =       "V. Puppe",
  title =        "Group Actions and Codes",
  journal =      j-CAN-J-MATH,
  volume =       "53",
  number =       "??",
  pages =        "212--224",
  month =        "????",
  year =         "2001",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2001-009-0",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v53/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "A $\mathbb{Z}_2$-action with ``maximal number of
                 isolated fixed points'' ({\em i.e.}, with only isolated
                 fixed points such that $\dim_k (\oplus_i H^i(M;k))
                 =|M^{\mathbb{Z}_2}|, k = \mathbb{F}_2)$ on a
                 $3$-dimensional, closed manifold determines a binary
                 self-dual code of length $=|M^{\mathbb{Z}_2}|$. In turn
                 this code determines the cohomology algebra $H^*(M;k)$
                 and the equivariant cohomology $H^*_
                 {\mathbb{Z}_2}(M;k)$. Hence, from results on binary
                 self-dual codes one gets information about the
                 cohomology type of $3$-manifolds which admit
                 involutions with maximal number of isolated fixed
                 points. In particular, ``most'' cohomology types of
                 closed $3$-manifolds do not admit such involutions.
                 Generalizations of the above result are possible in
                 several directions, {\em e.g.}, one gets that ``most''
                 cohomology types (over $\mathbb{F}_2)$ of closed
                 $3$-manifolds do not admit a non-trivial involution.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Britten:2001:TPR,
  author =       "D. J. Britten and F. W. Lemire",
  title =        "Tensor Product Realizations of Simple Torsion Free
                 Modules",
  journal =      j-CAN-J-MATH,
  volume =       "53",
  number =       "??",
  pages =        "225--243",
  month =        "????",
  year =         "2001",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2001-010-x",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v53/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $\calG$ be a finite dimensional simple Lie algebra
                 over the complex numbers $C$. Fernando reduced the
                 classification of infinite dimensional simple
                 $\calG$-modules with a finite dimensional weight space
                 to determining the simple torsion free $\calG$-modules
                 for $\calG$ of type $A$ or $C$. These modules were
                 determined by Mathieu and using his work we provide a
                 more elementary construction realizing each one as a
                 submodule of an easily constructed tensor product
                 module.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Goldberg:2001:TSQ,
  author =       "David Goldberg and Freydoon Shahidi",
  title =        "On the Tempered Spectrum of Quasi-Split Classical
                 Groups {II}",
  journal =      j-CAN-J-MATH,
  volume =       "53",
  number =       "??",
  pages =        "244--277",
  month =        "????",
  year =         "2001",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2001-011-7",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v53/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We determine the poles of the standard intertwining
                 operators for a maximal parabolic subgroup of the
                 quasi-split unitary group defined by a quadratic
                 extension $E/F$ of $p$-adic fields of characteristic
                 zero. We study the case where the Levi component $M
                 \simeq \GL_n (E) \times U_m (F)$, with $n \equiv m$
                 $(\mod 2)$. This, along with earlier work, determines
                 the poles of the local Rankin-Selberg product
                 $L$-function $L(s, \tau' \times \tau)$, with $\tau'$ an
                 irreducible unitary supercuspidal representation of
                 $\GL_n (E)$ and $\tau$ a generic irreducible unitary
                 supercuspidal representation of $U_m (F)$. The results
                 are interpreted using the theory of twisted
                 endoscopy.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Helminck:2001:DTK,
  author =       "G. F. Helminck and J. W. van de Leur",
  title =        "{Darboux} Transformations for the {KP} Hierarchy in
                 the {Segal--Wilson} Setting",
  journal =      j-CAN-J-MATH,
  volume =       "53",
  number =       "??",
  pages =        "278--309",
  month =        "????",
  year =         "2001",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2001-012-4",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v53/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "In this paper it is shown that inclusions inside the
                 Segal-Wilson Grassmannian give rise to Darboux
                 transformations between the solutions of the $\KP$
                 hierarchy corresponding to these planes. We present a
                 closed form of the operators that procure the
                 transformation and express them in the related
                 geometric data. Further the associated transformation
                 on the level of $\tau$-functions is given.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Ito:2001:PRC,
  author =       "Hiroshi Ito",
  title =        "On a Product Related to the Cubic {Gauss} Sum, {III}",
  journal =      j-CAN-J-MATH,
  volume =       "53",
  number =       "??",
  pages =        "310--324",
  month =        "????",
  year =         "2001",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2001-013-1",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v53/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We have seen, in the previous works [5], [6], that the
                 argument of a certain product is closely connected to
                 that of the cubic Gauss sum. Here the absolute value of
                 the product will be investigated.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Matui:2001:EOC,
  author =       "Hiroki Matui",
  title =        "Ext and OrderExt Classes of Certain Automorphisms of
                 {$C^*$}-Algebras Arising from {Cantor} Minimal
                 Systems",
  journal =      j-CAN-J-MATH,
  volume =       "53",
  number =       "??",
  pages =        "325--354",
  month =        "????",
  year =         "2001",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2001-014-9",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v53/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Giordano, Putnam and Skau showed that the
                 transformation group $C^*$-algebra arising from a
                 Cantor minimal system is an $AT$-algebra, and
                 classified it by its $K$-theory. For approximately
                 inner automorphisms that preserve $C(X)$, we will
                 determine their classes in the Ext and OrderExt groups,
                 and introduce a new invariant for the closure of the
                 topological full group. We will also prove that every
                 automorphism in the kernel of the homomorphism into the
                 Ext group is homotopic to an inner automorphism, which
                 extends Kishimoto's result.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Nica:2001:DEF,
  author =       "Alexandru Nica and Dimitri Shlyakhtenko and Roland
                 Speicher",
  title =        "{$R$}-Diagonal Elements and Freeness With
                 Amalgamation",
  journal =      j-CAN-J-MATH,
  volume =       "53",
  number =       "??",
  pages =        "355--381",
  month =        "????",
  year =         "2001",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2001-015-6",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v53/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "The concept of $R$-diagonal element was introduced in
                 \cite{NS2}, and was subsequently found to have
                 applications to several problems in free probability.
                 In this paper we describe a new approach to
                 $R$-diagonality, which relies on freeness with
                 amalgamation. The class of $R$-diagonal elements is
                 enlarged to contain examples living in non-tracial
                 $*$-probability spaces, such as the generalized
                 circular elements of \cite{Sh1}.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Pivato:2001:BSS,
  author =       "Marcus Pivato",
  title =        "Building a Stationary Stochastic Process From a
                 Finite-Dimensional Marginal",
  journal =      j-CAN-J-MATH,
  volume =       "53",
  number =       "??",
  pages =        "382--413",
  month =        "????",
  year =         "2001",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2001-016-3",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v53/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "If $\mathfrak{A}$ is a finite alphabet, $\sU
                 \subset\mathbb{Z}^D$, and $\mu_\sU$ is a probability
                 measure on $\mathfrak{A}^\sU$ that ``looks like'' the
                 marginal projection of a stationary stochastic process
                 on $\mathfrak{A}^{\mathbb{Z}^D}$, then can we
                 ``extend'' $\mu_\sU$ to such a process? Under what
                 conditions can we make this extension ergodic,
                 (quasi)periodic, or (weakly) mixing? After surveying
                 classical work on this problem when $D=1$, we provide
                 some sufficient conditions and some necessary
                 conditions for $\mu_\sU$ to be extendible for $D > 1$,
                 and show that, in general, the problem is not formally
                 decidable.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Rivat:2001:NPF,
  author =       "Jo{\"e}l Rivat and Patrick Sargos",
  title =        "Nombres premiers de la forme $\floor{n^c}$. ({French})
                 [{Prime} numbers of the form $\floor{n^c}$]",
  journal =      j-CAN-J-MATH,
  volume =       "53",
  number =       "??",
  pages =        "414--433",
  month =        "????",
  year =         "2001",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2001-017-0",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v53/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "For $c > 1$ we denote by $\pi_c(x)$ the number of
                 integers $n \leq x$ such that $\floor{n^c}$ is prime.
                 In 1953, Piatetski-Shapiro has proved that $\pi_c(x)
                 \sim \frac{x}{c\log x}$, $x \rightarrow +\infty$ holds
                 for $c < 12/11$. Many authors have extended this range,
                 which measures our progress in exponential sums
                 techniques. In this article we obtain $c <
                 1.16117\dots\;$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
  language =     "French",
}

@Article{vanderPoorten:2001:VDE,
  author =       "Alfred J. van der Poorten and Kenneth S. Williams",
  title =        "Values of the {Dedekind} Eta Function at Quadratic
                 Irrationalities: Corrigendum",
  journal =      j-CAN-J-MATH,
  volume =       "53",
  number =       "??",
  pages =        "434--448",
  month =        "????",
  year =         "2001",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2001-018-8",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v53/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  note =         "See \cite{vanderPoorten:1999:VDE}.",
  abstract =     "Habib Muzaffar of Carleton University has pointed out
                 to the authors that in their paper [A] only the result
                 \[
                 \pi_{K,d}(x)+\pi_{K^{-1},d}(x)=\frac{1}{h(d)}\frac{x}{\log
                 x}+O_{K,d}\Bigl(\frac {x}{\log^2x}\Bigr) \] follows
                 from the prime ideal theorem with remainder for ideal
                 classes, and not the stronger result \[
                 \pi_{K,d}(x)=\frac{1}{2h(d)}\frac{x}{\log
                 x}+O_{K,d}\Bigl(\frac {x}{\log^2x}\Bigr) \] stated in
                 Lemma 5.2. This necessitates changes in Sections 5 and
                 6 of [A]. The main results of the paper are not
                 affected by these changes. It should also be noted
                 that, starting on page 177 of [A], each and every
                 occurrence of $o(s-1)$ should be replaced by $o(1)$.
                 Sections 5 and 6 of [A] have been rewritten to
                 incorporate the above mentioned correction and are
                 given below. They should replace the original Sections
                 5 and 6 of [A].",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Akbary:2001:DRP,
  author =       "Amir Akbary and V. Kumar Murty",
  title =        "Descending Rational Points on Elliptic Curves to
                 Smaller Fields",
  journal =      j-CAN-J-MATH,
  volume =       "53",
  number =       "??",
  pages =        "449--469",
  month =        "????",
  year =         "2001",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2001-019-5",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v53/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "In this paper, we study the Mordell-Weil group of an
                 elliptic curve as a Galois module. We consider an
                 elliptic curve $E$ defined over a number field $K$
                 whose Mordell-Weil rank over a Galois extension $F$ is
                 $1$, $2$ or $3$. We show that $E$ acquires a point
                 (points) of infinite order over a field whose Galois
                 group is one of $C_n \times C_m$ ($n= 1, 2, 3, 4, 6, m=
                 1, 2$), $D_n \times C_m$ ($n= 2, 3, 4, 6, m= 1, 2$),
                 $A_4 \times C_m$ ($m=1,2$), $S_4 \times C_m$ ($m=1,2$).
                 Next, we consider the case where $E$ has complex
                 multiplication by the ring of integers $\o$ of an
                 imaginary quadratic field $\k$ contained in $K$.
                 Suppose that the $\o$-rank over a Galois extension $F$
                 is $1$ or $2$. If $\k\neq\Q(\sqrt{-1})$ and
                 $\Q(\sqrt{-3})$ and $h_{\k}$ (class number of $\k$) is
                 odd, we show that $E$ acquires positive $\o$-rank over
                 a cyclic extension of $K$ or over a field whose Galois
                 group is one of $\SL_2(\Z/3\Z)$, an extension of
                 $\SL_2(\Z/3\Z)$ by $\Z/2\Z$, or a central extension by
                 the dihedral group. Finally, we discuss the relation of
                 the above results to the vanishing of $L$-functions.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Bauschke:2001:HPC,
  author =       "Heinz H. Bauschke and Osman G{\"u}ler and Adrian S.
                 Lewis and Hristo S. Sendov",
  title =        "Hyperbolic Polynomials and Convex Analysis",
  journal =      j-CAN-J-MATH,
  volume =       "53",
  number =       "3",
  pages =        "470--488",
  month =        jun,
  year =         "2001",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2001-020-6",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  MRclass =      "90C46 (15A45 52A41)",
  MRnumber =     "MR1827817 (2002c:90099)",
  MRreviewer =   "Vaithilingam Jeyakumar",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v53/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib;
                 Karlsruhe bibliography archive",
  abstract =     "A homogeneous real polynomial $p$ is {\em hyperbolic}
                 with respect to a given vector $d$ if the univariate
                 polynomial $t \mapsto p(x-td)$ has all real roots for
                 all vectors $x$. Motivated by partial differential
                 equations, G{\aa}rding proved in 1951 that the largest
                 such root is a convex function of $x$, and showed
                 various ways of constructing new hyperbolic
                 polynomials. We present a powerful new such
                 construction, and use it to generalize G{\aa}rding's
                 result to arbitrary symmetric functions of the roots.
                 Many classical and recent inequalities follow easily.
                 We develop various convex-analytic tools for such
                 symmetric functions, of interest in interior-point
                 methods for optimization problems over related cones.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Bojanov:2001:BPL,
  author =       "Borislav D. Bojanov and Werner Hau{\ss}mann and Geno
                 P. Nikolov",
  title =        "Bivariate Polynomials of Least Deviation from Zero",
  journal =      j-CAN-J-MATH,
  volume =       "53",
  number =       "??",
  pages =        "489--505",
  month =        "????",
  year =         "2001",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2001-021-3",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v53/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Bivariate polynomials with a fixed leading term $x^m
                 y^n$, which deviate least from zero in the uniform or
                 $L^2$-norm on the unit disk $D$ (resp. a triangle) are
                 given explicitly. A similar problem in $L^p$, $1 \le p
                 \le \infty$, is studied on $D$ in the set of products
                 of linear polynomials.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Davidson:2001:IDN,
  author =       "Kenneth R. Davidson and David W. Kribs and Miron E.
                 Shpigel",
  title =        "Isometric Dilations of Non-Commuting Finite Rank
                 $n$-Tuples",
  journal =      j-CAN-J-MATH,
  volume =       "53",
  number =       "??",
  pages =        "506--545",
  month =        "????",
  year =         "2001",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2001-022-0",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v53/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "A contractive $n$-tuple $A=(A_1, \dots,A_n)$ has a
                 minimal joint isometric dilation $S=\break (S_1,
                 \dots,S_n)$ where the $S_i$'s are isometries with
                 pairwise orthogonal ranges. This determines a
                 representation of the Cuntz-Toeplitz algebra. When $A$
                 acts on a finite dimensional space, the $\wot$-closed
                 nonself-adjoint algebra $\fS$ generated by $S$ is
                 completely described in terms of the properties of $A$.
                 This provides complete unitary invariants for the
                 corresponding representations. In addition, we show
                 that the algebra $\fS$ is always hyper-reflexive. In
                 the last section, we describe similarity invariants. In
                 particular, an $n$-tuple $B$ of $d\times d$ matrices is
                 similar to an irreducible $n$-tuple $A$ if and only if
                 a certain finite set of polynomials vanish on $B$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Erlijman:2001:MSB,
  author =       "Juliana Erlijman",
  title =        "Multi-Sided Braid Type Subfactors",
  journal =      j-CAN-J-MATH,
  volume =       "53",
  number =       "??",
  pages =        "546--591",
  month =        "????",
  year =         "2001",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2001-023-8",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v53/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We generalise the two-sided construction of examples
                 of pairs of subfactors of the hyperfinite II$_1$ factor
                 $R$ in [E1]---which arise by considering unitary braid
                 representations with certain properties---to
                 multi-sided pairs. We show that the index for the
                 multi-sided pair can be expressed as a power of that
                 for the two-sided pair. This construction can be
                 applied to the natural examples---where the braid
                 representations are obtained in connection with the
                 representation theory of Lie algebras of types $A$,
                 $B$, $C$, $D$. We also compute the (first) relative
                 commutants.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Perera:2001:ISM,
  author =       "Francesc Perera",
  title =        "Ideal Structure of Multiplier Algebras of Simple
                 {$C^*$}-algebras With Real Rank Zero",
  journal =      j-CAN-J-MATH,
  volume =       "53",
  number =       "??",
  pages =        "592--630",
  month =        "????",
  year =         "2001",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2001-025-2",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v53/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We give a description of the monoid of Murray--von
                 Neumann equivalence classes of projections for
                 multiplier algebras of a wide class of $\sigma$-unital
                 simple $C^\ast$-algebras $A$ with real rank zero and
                 stable rank one. The lattice of ideals of this monoid,
                 which is known to be crucial for understanding the
                 ideal structure of the multiplier algebra $\mul$, is
                 therefore analyzed. In important cases it is shown
                 that, if $A$ has finite scale then the quotient of
                 $\mul$ modulo any closed ideal $I$ that properly
                 contains $A$ has stable rank one. The intricacy of the
                 ideal structure of $\mul$ is reflected in the fact that
                 $\mul$ can have uncountably many different quotients,
                 each one having uncountably many closed ideals forming
                 a chain with respect to inclusion.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Walters:2001:TNC,
  author =       "Samuel G. Walters",
  title =        "{$K$}-Theory of Non-Commutative Spheres Arising from
                 the {Fourier} Automorphism",
  journal =      j-CAN-J-MATH,
  volume =       "53",
  number =       "??",
  pages =        "631--674",
  month =        "????",
  year =         "2001",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2001-026-x",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v53/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "For a dense $G_\delta$ set of real parameters $\theta$
                 in $[0,1]$ (containing the rationals) it is shown that
                 the group $K_0 (A_\theta \rtimes_\sigma \mathbb{Z}_4)$
                 is isomorphic to $\mathbb{Z}^9$, where $A_\theta$ is
                 the rotation C*-algebra generated by unitaries $U$, $V$
                 satisfying $VU = e^{2\pi i\theta} UV$ and $\sigma$ is
                 the Fourier automorphism of $A_\theta$ defined by
                 $\sigma(U) = V$, $\sigma(V) = U^{-1}$. More precisely,
                 an explicit basis for $K_0$ consisting of nine
                 canonical modules is given. (A slight generalization of
                 this result is also obtained for certain separable
                 continuous fields of unital C*-algebras over $[0,1]$.)
                 The Connes Chern character $\ch \colon K_0 (A_\theta
                 \rtimes_\sigma \mathbb{Z}_4) \to H^{\ev} (A_\theta
                 \rtimes_\sigma \mathbb{Z}_4)^*$ is shown to be
                 injective for a dense $G_\delta$ set of parameters
                 $\theta$. The main computational tool in this paper is
                 a group homomorphism $\vtr \colon K_0 (A_\theta
                 \rtimes_\sigma \mathbb{Z}_4) \to \mathbb{R}^8 \times
                 \mathbb{Z}$ obtained from the Connes Chern character by
                 restricting the functionals in its codomain to a
                 certain nine-dimensional subspace of $H^{\ev} (A_\theta
                 \rtimes_\sigma \mathbb{Z}_4)$. The range of $\vtr$ is
                 fully determined for each $\theta$. (We conjecture that
                 this subspace is all of $H^{\ev}$.)",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Ban:2001:JMP,
  author =       "Dubravka Ban",
  title =        "{Jacquet} Modules of Parabolically Induced
                 Representations and {Weyl} Groups",
  journal =      j-CAN-J-MATH,
  volume =       "53",
  number =       "??",
  pages =        "675--695",
  month =        "????",
  year =         "2001",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2001-027-7",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v53/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "The representation parabolically induced from an
                 irreducible supercuspidal representation is considered.
                 Irreducible components of Jacquet modules with respect
                 to induction in stages are given. The results are used
                 for consideration of generalized Steinberg
                 representations.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Currie:2001:APA,
  author =       "J. Currie and V. Linek",
  title =        "Avoiding Patterns in the {Abelian} Sense",
  journal =      j-CAN-J-MATH,
  volume =       "53",
  number =       "??",
  pages =        "696--714",
  month =        "????",
  year =         "2001",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2001-028-4",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v53/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We classify all 3 letter patterns that are avoidable
                 in the abelian sense. A short list of four letter
                 patterns for which abelian avoidance is undecided is
                 given. Using a generalization of Zimin words we deduce
                 some properties of $\o$-words avoiding these
                 patterns.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Cushman:2001:DSO,
  author =       "Richard Cushman and J{\k{e}}drzej {\'S}niatycki",
  title =        "Differential Structure of Orbit Spaces",
  journal =      j-CAN-J-MATH,
  volume =       "53",
  number =       "??",
  pages =        "715--755",
  month =        "????",
  year =         "2001",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2001-029-1",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v53/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  note =         "See erratum \cite{Cushman:2003:DSO}.",
  abstract =     "We present a new approach to singular reduction of
                 Hamiltonian systems with symmetries. The tools we use
                 are the category of differential spaces of Sikorski and
                 the Stefan-Sussmann theorem. The former is applied to
                 analyze the differential structure of the spaces
                 involved and the latter is used to prove that some of
                 these spaces are smooth manifolds. Our main result is
                 the identification of accessible sets of the
                 generalized distribution spanned by the Hamiltonian
                 vector fields of invariant functions with singular
                 reduced spaces. We are also able to describe the
                 differential structure of a singular reduced space
                 corresponding to a coadjoint orbit which need not be
                 locally closed.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Froese:2001:CUB,
  author =       "Richard Froese",
  title =        "Correction to: {``Upper Bounds for the Resonance
                 Counting Function of Schr{\"o}dinger Operators in Odd
                 Dimensions''}",
  journal =      j-CAN-J-MATH,
  volume =       "53",
  number =       "??",
  pages =        "756--757",
  month =        "????",
  year =         "2001",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2001-030-2",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v53/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  note =         "See \cite{Froese:1998:UBR}.",
  abstract =     "The proof of Lemma 3.4 in [F] relies on the incorrect
                 equality $\mu_j (AB) = \mu_j (BA)$ for singular values
                 (for a counterexample, see [S, p. 4]). Thus, Theorem
                 3.1 as stated has not been proven. However, with minor
                 changes, we can obtain a bound for the counting
                 function in terms of the growth of the Fourier
                 transform of $|V|$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Goulden:2001:ITF,
  author =       "I. P. Goulden and D. M. Jackson and F. G. Latour",
  title =        "Inequivalent Transitive Factorizations into
                 Transpositions",
  journal =      j-CAN-J-MATH,
  volume =       "53",
  number =       "??",
  pages =        "758--779",
  month =        "????",
  year =         "2001",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2001-031-x",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v53/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "The question of counting minimal factorizations of
                 permutations into transpositions that act transitively
                 on a set has been studied extensively in the
                 geometrical setting of ramified coverings of the sphere
                 and in the algebraic setting of symmetric functions. It
                 is natural, however, from a combinatorial point of view
                 to ask how such results are affected by counting up to
                 equivalence of factorizations, where two factorizations
                 are equivalent if they differ only by the interchange
                 of adjacent factors that commute. We obtain an explicit
                 and elegant result for the number of such
                 factorizations of permutations with precisely two
                 factors. The approach used is a combinatorial one that
                 rests on two constructions. We believe that this
                 approach, and the combinatorial primitives that have
                 been developed for the ``cut and join'' analysis, will
                 also assist with the general case.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Nicolaescu:2001:SWI,
  author =       "Liviu I. Nicolaescu",
  title =        "{Seiberg--Witten} Invariants of Lens Spaces",
  journal =      j-CAN-J-MATH,
  volume =       "53",
  number =       "??",
  pages =        "780--808",
  month =        "????",
  year =         "2001",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2001-032-7",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v53/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We show that the Seiberg--Witten invariants of a lens
                 space determine and are determined by its Casson-Walker
                 invariant and its Reidemeister-Turaev torsion.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Robertson:2001:ATG,
  author =       "Guyan Robertson and Tim Steger",
  title =        "Asymptotic {$K$}-Theory for Groups Acting on {$\tA_2$}
                 Buildings",
  journal =      j-CAN-J-MATH,
  volume =       "53",
  number =       "??",
  pages =        "809--833",
  month =        "????",
  year =         "2001",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2001-033-4",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v53/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $\Gamma$ be a torsion free lattice in $G=\PGL(3,
                 \mathbb{F})$ where $\mathbb{F}$ is a nonarchimedean
                 local field. Then $\Gamma$ acts freely on the affine
                 Bruhat-Tits building $\mathcal{B}$ of $G$ and there is
                 an induced action on the boundary $\Omega$ of
                 $\mathcal{B}$. The crossed product $C^*$-algebra
                 $\mathcal{A}(\Gamma)=C(\Omega) \rtimes \Gamma$ depends
                 only on $\Gamma$ and is classified by its $K$-theory.
                 This article shows how to compute the $K$-theory of
                 $\mathcal{A}(\Gamma)$ and of the larger class of rank
                 two Cuntz-Krieger algebras.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Veys:2001:ZFK,
  author =       "Willem Veys",
  title =        "Zeta Functions and `Kontsevich Invariants' on Singular
                 Varieties",
  journal =      j-CAN-J-MATH,
  volume =       "53",
  number =       "??",
  pages =        "834--865",
  month =        "????",
  year =         "2001",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2001-034-1",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v53/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $X$ be a nonsingular algebraic variety in
                 characteristic zero. To an effective divisor on $X$
                 Kontsevich has associated a certain motivic integral,
                 living in a completion of the Grothendieck ring of
                 algebraic varieties. He used this invariant to show
                 that birational (smooth, projective) Calabi--Yau
                 varieties have the same Hodge numbers. Then Denef and
                 Loeser introduced the invariant {\em motivic (Igusa)
                 zeta function}, associated to a regular function on
                 $X$, which specializes to both the classical $p$-adic
                 Igusa zeta function and the topological zeta function,
                 and also to Kontsevich's invariant. This paper treats a
                 generalization to singular varieties. Batyrev already
                 considered such a `Kontsevich invariant' for log
                 terminal varieties (on the level of Hodge polynomials
                 of varieties instead of in the Grothendieck ring), and
                 previously we introduced a motivic zeta function on
                 normal surface germs. Here on any $\bbQ$-Gorenstein
                 variety $X$ we associate a motivic zeta function and a
                 `Kontsevich invariant' to effective $\bbQ$-Cartier
                 divisors on $X$ whose support contains the singular
                 locus of $X$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Yang:2001:IPP,
  author =       "Yifan Yang",
  title =        "Inverse Problems for Partition Functions",
  journal =      j-CAN-J-MATH,
  volume =       "53",
  number =       "??",
  pages =        "866--896",
  month =        "????",
  year =         "2001",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2001-035-9",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v53/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $p_w(n)$ be the weighted partition function
                 defined by the generating function
                 $\sum^\infty_{n=0}p_w(n)x^n=\prod^\infty_{m=1}
                 (1-x^m)^{-w(m)}$, where $w(m)$ is a non-negative
                 arithmetic function. Let $P_w(u)=\sum_{n\le u}p_w(n)$
                 and $N_w(u)=\sum_{n\le u}w(n)$ be the summatory
                 functions for $p_w(n)$ and $w(n)$, respectively.
                 Generalizing results of G. A. Freiman and E. E.
                 Kohlbecker, we show that, for a large class of
                 functions $\Phi(u)$ and $\lambda(u)$, an estimate for
                 $P_w(u)$ of the form $\log
                 P_w(u)=\Phi(u)\bigl\{1+O(1/\lambda(u)\bigr)\bigr\}$
                 $(u\to\infty)$ implies an estimate for $N_w(u)$ of the
                 form
                 $N_w(u)=\Phi^\ast(u)\bigl\{1+O\bigl(1/\log\lambda(u)\bigr)\bigr\}$
                 $(u\to\infty)$ with a suitable function $\Phi^\ast(u)$
                 defined in terms of $\Phi(u)$. We apply this result and
                 related results to obtain characterizations of the
                 Riemann Hypothesis and the Generalized Riemann
                 Hypothesis in terms of the asymptotic behavior of
                 certain weighted partition functions.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Bennett:2001:SEE,
  author =       "Michael A. Bennett",
  title =        "On Some Exponential Equations of {S. S. Pillai}",
  journal =      j-CAN-J-MATH,
  volume =       "53",
  number =       "??",
  pages =        "897--922",
  month =        "????",
  year =         "2001",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2001-036-6",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v53/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "In this paper, we establish a number of theorems on
                 the classic Diophantine equation of S. S. Pillai,
                 $a^x-b^y=c$, where $a$, $b$ and $c$ are given nonzero
                 integers with $a,b \geq 2$. In particular, we obtain
                 the sharp result that there are at most two solutions
                 in positive integers $x$ and $y$ and deduce a variety
                 of explicit conditions under which there exists at most
                 a single such solution. These improve or generalize
                 prior work of Le, Leveque, Pillai, Scott and Terai. The
                 main tools used include lower bounds for linear forms
                 in the logarithms of (two) algebraic numbers and
                 various elementary arguments.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Geramita:2001:DHF,
  author =       "Anthony V. Geramita and Tadahito Harima and Yong Su
                 Shin",
  title =        "Decompositions of the {Hilbert} Function of a Set of
                 Points in {$\P^n$}",
  journal =      j-CAN-J-MATH,
  volume =       "53",
  number =       "??",
  pages =        "923--943",
  month =        "????",
  year =         "2001",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2001-037-3",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v53/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $\H$ be the Hilbert function of some set of
                 distinct points in $\P^n$ and let $\alpha = \alpha
                 (\H)$ be the least degree of a hypersurface of $\P^n$
                 containing these points. Write $\alpha = d_s + d_{s-1}
                 + \cdots + d_1$ (where $d_i > 0$). We canonically
                 decompose $\H$ into $s$ other Hilbert functions $\H
                 \leftrightarrow (\H_s^\prime, \dots, \H_1^\prime)$ and
                 show how to find sets of distinct points $\Y_s, \dots,
                 \Y_1$, lying on reduced hypersurfaces of degrees $d_s,
                 \dots, d_1$ (respectively) such that the Hilbert
                 function of $\Y_i$ is $\H_i^\prime$ and the Hilbert
                 function of $\Y = \bigcup_{i=1}^s \Y_i$ is $\H$. Some
                 extremal properties of this canonical decomposition are
                 also explored.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Ludwig:2001:RIB,
  author =       "J. Ludwig and C. Molitor-Braun",
  title =        "Repr{\'e}sentations irr{\'e}ductibles born{\'e}es des
                 groupes de {Lie} exponentiels. ({French}) [{Bounded}
                 irreducible representations of exponential {Lie}
                 groups]",
  journal =      j-CAN-J-MATH,
  volume =       "53",
  number =       "??",
  pages =        "944--978",
  month =        "????",
  year =         "2001",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2001-038-0",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v53/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $G$ be a solvable exponential Lie group. We
                 characterize all the continuous topologically
                 irreducible bounded representations $(T, \calU)$ of $G$
                 on a Banach space $\calU$ by giving a $G$-orbit in
                 $\frn^*$ ($\frn$ being the nilradical of $\frg$), a
                 topologically irreducible representation of $L^1(\RR^n,
                 \o)$, for a certain weight $\o$ and a certain $n \in
                 \NN$, and a topologically simple extension norm. If $G$
                 is not symmetric, \ie, if the weight $\o$ is
                 exponential, we get a new type of representations which
                 are fundamentally different from the induced
                 representations. Soit $G$ un groupe de Lie
                 r{\'e}soluble exponentiel. Nous caract{\'e}risons
                 toutes les repr{\'e}sentations $(T, \calU)$ continues
                 born{\'e}es topologiquement irr{\'e}ductibles de $G$
                 dans un espace de Banach $\calU$ {\`a} l'aide d'une
                 $G$-orbite dans $\frn^*$ ($\frn$ {\'e}tant le radical
                 nilpotent de $\frg$), d'une repr{\'e}sentation
                 topologiquement irr{\'e}ductible de $L^1(\RR^n, \o)$,
                 pour un certain poids $\o$ et un certain $n \in \NN$,
                 d'une norme d'extension topologiquement simple. Si $G$
                 n'est pas sym{\'e}trique, c. {\`a} d. si le poids $\o$
                 est exponentiel, nous obtenons un nouveau type de
                 repr{\'e}sentations qui sont fondamentalement
                 diff{\'e}rentes des repr{\'e}sentations induites.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
  language =     "French",
}

@Article{Nagisa:2001:RAC,
  author =       "Masaru Nagisa and Hiroyuki Osaka and N. Christopher
                 Phillips",
  title =        "Ranks of Algebras of Continuous {$C^*$}-Algebra Valued
                 Functions",
  journal =      j-CAN-J-MATH,
  volume =       "53",
  number =       "??",
  pages =        "979--1030",
  month =        "????",
  year =         "2001",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2001-039-8",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v53/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We prove a number of results about the stable and
                 particularly the real ranks of tensor products of \ca s
                 under the assumption that one of the factors is
                 commutative. In particular, we prove the following:
                 {\raggedright \begin{enumerate}[(5)] \item[(1)] If $X$
                 is any locally compact $\sm$-compact Hausdorff space
                 and $A$ is any \ca, then\break $\RR \bigl( C_0 (X)
                 \otimes A \bigr) \leq \dim (X) + \RR(A)$. \item[(2)] If
                 $X$ is any locally compact Hausdorff space and $A$ is
                 any \pisca, then $\RR \bigl( C_0 (X) \otimes A \bigr)
                 \leq 1$. \item[(3)] $\RR \bigl( C ([0,1]) \otimes A
                 \bigr) \geq 1$ for any nonzero \ca\ $A$, and $\sr
                 \bigl( C ([0,1]^2) \otimes A \bigr) \geq 2$ for any
                 unital \ca\ $A$. \item[(4)] If $A$ is a unital \ca\
                 such that $\RR(A) = 0$, $\sr (A) = 1$, and $K_1 (A) =
                 0$, then\break $\sr \bigl( C ([0,1]) \otimes A \bigr) =
                 1$. \item[(5)] There is a simple separable unital
                 nuclear \ca\ $A$ such that $\RR(A) = 1$ and\break $\sr
                 \bigl( C ([0,1]) \otimes A \bigr) = 1$.
                 \end{enumerate}}",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Sampson:2001:CMP,
  author =       "G. Sampson and P. Szeptycki",
  title =        "The Complete {$(L^p, L^p)$} Mapping Properties of Some
                 Oscillatory Integrals in Several Dimensions",
  journal =      j-CAN-J-MATH,
  volume =       "53",
  number =       "??",
  pages =        "1031--1056",
  month =        "????",
  year =         "2001",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2001-040-9",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v53/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We prove that the operators $\int_ {\mathbb{R}_+^2}
                 e^{ix^a \cdot y^b} \varphi (x,y) f(y)\, dy$ map
                 $L^p(\mathbb{R}^2)$ into itself for $p \in J
                 =\bigl[\frac{a_l+b_l}{a_l+(\frac{b_l r}{2})},
                 \frac{a_l+b_l} {a_l(1-\frac{r}{2})}\bigr]$ if
                 $a_l,b_l\ge 1$ and $\varphi(x,y)=|x-y|^{-r}$, $0\le r <
                 2$, the result is sharp. Generalizations to dimensions
                 $d > 2$ are indicated.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Varopoulos:2001:PTL,
  author =       "N. Th. Varopoulos",
  title =        "Potential Theory in {Lipschitz} Domains",
  journal =      j-CAN-J-MATH,
  volume =       "53",
  number =       "??",
  pages =        "1057--1120",
  month =        "????",
  year =         "2001",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2001-041-6",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v53/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We prove comparison theorems for the probability of
                 life in a Lipschitz domain between Brownian motion and
                 random walks. On donne des th{\'e}or{\`e}mes de
                 comparaison pour la probabilit{\'e} de vie dans un
                 domain Lipschitzien entre le Brownien et de marches
                 al{\'e}atoires.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Athanasiadis:2001:MPZ,
  author =       "Christos A. Athanasiadis and Francisco Santos",
  title =        "Monotone Paths on Zonotopes and Oriented Matroids",
  journal =      j-CAN-J-MATH,
  volume =       "53",
  number =       "??",
  pages =        "1121--1140",
  month =        "????",
  year =         "2001",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2001-042-3",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v53/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Monotone paths on zonotopes and the natural
                 generalization to maximal chains in the poset of topes
                 of an oriented matroid or arrangement of
                 pseudo-hyperplanes are studied with respect to a kind
                 of local move, called polygon move or flip. It is
                 proved that any monotone path on a $d$-dimensional
                 zonotope with $n$ generators admits at least $\lceil
                 2n/(n-d+2) \rceil-1$ flips for all $n \ge d+2 \ge 4$
                 and that for any fixed value of $n-d$, this lower bound
                 is sharp for infinitely many values of $n$. In
                 particular, monotone paths on zonotopes which admit
                 only three flips are constructed in each dimension $d
                 \ge 3$. Furthermore, the previously known
                 2-connectivity of the graph of monotone paths on a
                 polytope is extended to the 2-connectivity of the graph
                 of maximal chains of topes of an oriented matroid. An
                 application in the context of Coxeter groups of a
                 result known to be valid for monotone paths on simple
                 zonotopes is included.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Bushnell:2001:CPT,
  author =       "Colin J. Bushnell and Guy Henniart",
  title =        "Sur le comportement, par torsion, des facteurs epsilon
                 de paires. ({French}) [{Behavior}, by twisting,
                 epsilon-pair factors]",
  journal =      j-CAN-J-MATH,
  volume =       "53",
  number =       "??",
  pages =        "1141--1173",
  month =        "????",
  year =         "2001",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2001-043-0",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v53/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Soient $F$ un corps commutatif localement compact non
                 archim{\'e}dien et $\psi$ un caract{\`e}re additif non
                 trivial de $F$. Soient $n$ et $n'$ deux entiers
                 distincts, sup{\'e}rieurs {\`a} $1$. Soient $\pi$ et
                 $\pi'$ des repr{\'e}sentations irr{\'e}ductibles
                 supercuspidales de $\GL_n(F)$, $\GL_{n'}(F)$
                 respectivement. Nous prouvons qu'il existe un
                 {\'e}l{\'e}ment $c= c(\pi, \pi', \psi)$ de $F^\times$
                 tel que pour tout quasicaract{\`e}re mod{\'e}r{\'e}
                 $\chi$ de $F^\times$ on ait $\varepsilon(\chi\pi\times
                 \pi',s, \psi) =
                 \chi(c)^{-1}\varepsilon(\pi\times\pi',s, \psi)$. Nous
                 examinons aussi certains cas o{\`u} $n=n'$,
                 $\pi'=\pi^\vee$. Les r{\'e}sultats obtenus forment une
                 {\'e}tape vers une d{\'e}monstration de la conjecture
                 de Langlands pour $F$, qui ne fasse pas appel {\`a} la
                 g{\'e}om{\'e}trie des vari{\'e}t{\'e}s modulaires, de
                 Shimura ou de Drinfeld. Let $F$ be a non-Archimedean
                 local field, and $\psi$ a non-trivial additive
                 character of $F$. Let $n$ and $n'$ be distinct positive
                 integers. Let $\pi$, $\pi'$ be irreducible
                 supercuspidal representations of $\GL_n(F)$,
                 $\GL_{n'}(F)$ respectively. We prove that there is $c=
                 c(\pi, \pi', \psi)\in F^\times$ such that for every
                 tame quasicharacter $\chi$ of $F^\times$ we have
                 $\varepsilon(\chi\pi\times \pi',s, \psi) =
                 \chi(c)^{-1}\varepsilon(\pi\times\pi',s, \psi)$. We
                 also treat some cases where $n=n'$ and $\pi'=\pi^\vee$.
                 These results are steps towards a proof of the
                 Langlands conjecture for $F$, which would not use the
                 geometry of modular---Shimura or
                 Drinfeld---varieties.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
  language =     "French",
}

@Article{Loewen:2001:GVP,
  author =       "Philip D. Loewen and Xianfu Wang",
  title =        "A Generalized Variational Principle",
  journal =      j-CAN-J-MATH,
  volume =       "53",
  number =       "??",
  pages =        "1174--1193",
  month =        "????",
  year =         "2001",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2001-044-8",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v53/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We prove a strong variant of the Borwein-Preiss
                 variational principle, and show that on Asplund spaces,
                 Stegall's variational principle follows from it via a
                 generalized Smulyan test. Applications are discussed.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Louboutin:2001:EUB,
  author =       "St{\'e}phane Louboutin",
  title =        "Explicit Upper Bounds for Residues of {Dedekind} Zeta
                 Functions and Values of {$L$}-Functions at $s = 1$, and
                 Explicit Lower Bounds for Relative Class Numbers of
                 {$\CM$}-Fields",
  journal =      j-CAN-J-MATH,
  volume =       "53",
  number =       "??",
  pages =        "1194--1222",
  month =        "????",
  year =         "2001",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2001-045-5",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v53/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We provide the reader with a uniform approach for
                 obtaining various useful explicit upper bounds on
                 residues of Dedekind zeta functions of numbers fields
                 and on absolute values of values at $s=1$ of $L$-series
                 associated with primitive characters on ray class
                 groups of number fields. To make it quite clear to the
                 reader how useful such bounds are when dealing with
                 class number problems for $\CM$-fields, we deduce an
                 upper bound for the root discriminants of the normal
                 $\CM$-fields with (relative) class number one.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Mygind:2001:CCS,
  author =       "Jesper Mygind",
  title =        "Classification of Certain Simple {$C^*$}-Algebras with
                 Torsion in {$K_1$}",
  journal =      j-CAN-J-MATH,
  volume =       "53",
  number =       "??",
  pages =        "1223--1308",
  month =        "????",
  year =         "2001",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2001-046-2",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v53/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We show that the Elliott invariant is a classifying
                 invariant for the class of $C^*$-algebras that are
                 simple unital infinite dimensional inductive limits of
                 finite direct sums of building blocks of the form \{f
                 \in C(\T) \otimes M_n : f(x_i) \in M_{d_i}, i = 1,2,
                 \dots,N\}, where $x_1,x_2, \dots,x_N \in \T$, $d_1,d_2,
                 \dots,d_N$ are integers dividing $n$, and $M_{d_i}$ is
                 embedded unitally into $M_n$. Furthermore we prove
                 existence and uniqueness theorems for $*$-homomorphisms
                 between such algebras and we identify the range of the
                 invariant.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Steer:2001:DHK,
  author =       "Brian Steer and Andrew Wren",
  title =        "The {Donaldson--Hitchin--Kobayashi} Correspondence for
                 Parabolic Bundles over Orbifold Surfaces",
  journal =      j-CAN-J-MATH,
  volume =       "53",
  number =       "??",
  pages =        "1309--1339",
  month =        "????",
  year =         "2001",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2001-047-x",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v53/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "A theorem of Donaldson on the existence of
                 Hermitian-Einstein metrics on stable holomorphic
                 bundles over a compact K{\"a}hler surface is extended
                 to bundles which are parabolic along an effective
                 divisor with normal crossings. Orbifold methods,
                 together with a suitable approximation theorem, are
                 used following an approach successful for the case of
                 Riemann surfaces.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Anonymous:2001:AII,
  author =       "Anonymous",
  title =        "Author Index - Index des auteurs --- for 2001 - pour
                 2001",
  journal =      j-CAN-J-MATH,
  volume =       "53",
  number =       "6",
  pages =        "1340--1343",
  month =        dec,
  year =         "2001",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2001-048-7",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v53/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Alekseev:2002:QPM,
  author =       "A. Alekseev and Y. Kosmann-Schwarzbach and E.
                 Meinrenken",
  title =        "Quasi-{Poisson} Manifolds",
  journal =      j-CAN-J-MATH,
  volume =       "54",
  number =       "??",
  pages =        "3--29",
  month =        "????",
  year =         "2002",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2002-001-5",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v54/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "A quasi-Poisson manifold is a G-manifold equipped with
                 an invariant bivector field whose Schouten bracket is
                 the trivector field generated by the invariant element
                 in \wedge$^3$ {\bf g} associated to an invariant inner
                 product. We introduce the concept of the fusion of such
                 manifolds, and we relate the quasi-Poisson manifolds to
                 the previously introduced quasi-Hamiltonian manifolds
                 with group-valued moment maps.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Treloar:2002:SGP,
  author =       "Thomas Treloar",
  title =        "The Symplectic Geometry of Polygons in the
                 $3$-Sphere",
  journal =      j-CAN-J-MATH,
  volume =       "54",
  number =       "??",
  pages =        "30--54",
  month =        "????",
  year =         "2002",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2002-002-1",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v54/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We study the symplectic geometry of the moduli spaces
                 $M_r=M_r(\s^3)$ of closed $n$-gons with fixed
                 side-lengths in the $3$-sphere. We prove that these
                 moduli spaces have symplectic structures obtained by
                 reduction of the fusion product of $n$ conjugacy
                 classes in $\SU(2)$ by the diagonal conjugation action
                 of $\SU(2)$. Here the fusion product of $n$ conjugacy
                 classes is a Hamiltonian quasi-Poisson
                 $\SU(2)$-manifold in the sense of [AKSM]. An integrable
                 Hamiltonian system is constructed on $M_r$ in which the
                 Hamiltonian flows are given by bending polygons along a
                 maximal collection of nonintersecting diagonals.
                 Finally, we show the symplectic structure on $M_r$
                 relates to the symplectic structure obtained from
                 gauge-theoretic description of $M_r$. The results of
                 this paper are analogues for the $3$-sphere of results
                 obtained for $M_r(\h^3)$, the moduli space of $n$-gons
                 with fixed side-lengths in hyperbolic $3$-space [KMT],
                 and for $M_r(\E^3)$, the moduli space of $n$-gons with
                 fixed side-lengths in $\E^3$ [KM1].",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Ban:2002:MFQ,
  author =       "Chunsheng Ban and Lee J. McEwan and Andr{\'a}s
                 N{\'e}methi",
  title =        "On the {Milnor} Fiber of a Quasi-ordinary Surface
                 Singularity",
  journal =      j-CAN-J-MATH,
  volume =       "54",
  number =       "??",
  pages =        "55--70",
  month =        "????",
  year =         "2002",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2002-003-8",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v54/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We verify a generalization of (3.3) from [Le73]
                 proving that the homotopy type of the Milnor fiber of a
                 reduced hypersurface singularity depends only on the
                 embedded topological type of the singularity. In
                 particular, using Zariski68, Lipman83, Oh93, Gau88] for
                 irreducible quasi-ordinary germs, it depends only on
                 the normalized distinguished pairs of the singularity.
                 The main result of the paper provides an explicit
                 formula for the Euler-characteristic of the Milnor
                 fiber in the surface case.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Choi:2002:SPS,
  author =       "Kwok-Kwong Stephen Choi and Jianya Liu",
  title =        "Small Prime Solutions of Quadratic Equations",
  journal =      j-CAN-J-MATH,
  volume =       "54",
  number =       "??",
  pages =        "71--91",
  month =        "????",
  year =         "2002",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2002-004-4",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v54/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $b_1, \dots,b_5$ be non-zero integers and $n$ any
                 integer. Suppose that $b_1 + \cdots + b_5 \equiv n
                 \pmod{24}$ and $(b_i,b_j) = 1$ for $1 \leq i < j \leq
                 5$. In this paper we prove that \begin{enumerate}[(ii)]
                 \item[(i)] if $b_j$ are not all of the same sign, then
                 the above quadratic equation has prime solutions
                 satisfying $p_j \ll \sqrt{|n|} + \max
                 \{|b_j|\}^{20+\ve}$; and \item[(ii)] if all $b_j$ are
                 positive and $n \gg \max \{|b_j|\}^{41+ \ve}$, then the
                 quadratic equation $b_1 p_1^2 + \cdots + b_5 p_5^2 = n$
                 is soluble in primes $p_j$. \end{enumerate}",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Mezo:2002:CGL,
  author =       "Paul Mezo",
  title =        "Comparisons of General Linear Groups and their
                 Metaplectic Coverings {I}",
  journal =      j-CAN-J-MATH,
  volume =       "54",
  number =       "??",
  pages =        "92--137",
  month =        "????",
  year =         "2002",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2002-005-0",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v54/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We prepare for a comparison of global trace formulas
                 of general linear groups and their metaplectic
                 coverings. In particular, we generalize the local
                 metaplectic correspondence of Flicker and Kazhdan and
                 describe the terms expected to appear in the invariant
                 trace formulas of the above covering groups. The
                 conjectural trace formulas are then placed into a form
                 suitable for comparison.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Razak:2002:CSS,
  author =       "Shaloub Razak",
  title =        "On the Classification of Simple Stably Projectionless
                 {$\C^*$}-Algebras",
  journal =      j-CAN-J-MATH,
  volume =       "54",
  number =       "??",
  pages =        "138--224",
  month =        "????",
  year =         "2002",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2002-006-7",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v54/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "It is shown that simple stably projectionless
                 $\C^S*$-algebras which are inductive limits of certain
                 specified building blocks with trivial $\K$-theory are
                 classified by their cone of positive traces with
                 distinguished subset. This is the first example of an
                 isomorphism theorem verifying the conjecture of Elliott
                 for a subclass of the stably projectionless algebras.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Arslan:2002:SWF,
  author =       "Bora Arslan and Alexander P. Goncharov and Mefharet
                 Kocatepe",
  title =        "Spaces of {Whitney} Functions on {Cantor}-Type Sets",
  journal =      j-CAN-J-MATH,
  volume =       "54",
  number =       "??",
  pages =        "225--238",
  month =        "????",
  year =         "2002",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2002-007-3",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v54/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We introduce the concept of logarithmic dimension of a
                 compact set. In terms of this magnitude, the extension
                 property and the diametral dimension of spaces
                 $\calE(K)$ can be described for Cantor-type compact
                 sets.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Cartwright:2002:ESP,
  author =       "Donald I. Cartwright and Tim Steger",
  title =        "Elementary Symmetric Polynomials in Numbers of
                 Modulus $1$",
  journal =      j-CAN-J-MATH,
  volume =       "54",
  number =       "??",
  pages =        "239--262",
  month =        "????",
  year =         "2002",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2002-008-x",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v54/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We describe the set of numbers \sigma$_k$ (z$_1$,
                 ...,z$_{n+1}$), where z$_1$, ..., z$_{n+1}$ are complex
                 numbers of modulus 1 for which z$_1$ z$_2$ cdots
                 z$_{n+1}$ =1, and \sigma$_k$ denotes the k-th
                 elementary symmetric polynomial. Consequently, we give
                 sharp constraints on the coefficients of a complex
                 polynomial all of whose roots are of the same modulus.
                 Another application is the calculation of the spectrum
                 of certain adjacency operators arising naturally on a
                 building of type {\tilde A}$_n$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Chaudouard:2002:IOP,
  author =       "Pierre-Henri Chaudouard",
  title =        "Int{\'e}grales orbitales pond{\'e}r{\'e}es sur les
                 alg{\`e}bres de {Lie}: le cas $p$-adique. ({French})
                 [{Weighted} orbital integrals on {Lie} algebras: the
                 $p$-adic case]",
  journal =      j-CAN-J-MATH,
  volume =       "54",
  number =       "??",
  pages =        "263--302",
  month =        "????",
  year =         "2002",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2002-009-6",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v54/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Soit $G$ un groupe r{\'e}ductif connexe d{\'e}fini sur
                 un corps $p$-adique $F$ et $\ggo$ son alg{\`e}bre de
                 Lie. Les int{\'e}grales orbitales pond{\'e}r{\'e}es sur
                 $\ggo(F)$ sont des distributions $J_M(X,f)$---$f$ est
                 une fonction test---index{\'e}es par les sous-groupes
                 de L{\'e}vi $M$ de $G$ et les {\'e}l{\'e}ments
                 semi-simples r{\'e}guliers $X \in \mgo(F)\cap
                 \ggo_{\reg}$. Leurs analogues sur $G$ sont les
                 principales composantes du c{\^o}t{\'e}
                 g{\'e}om{\'e}trique des formules des traces locale et
                 globale d'Arthur. Si $M=G$, on retrouve les
                 int{\'e}grales orbitales invariantes qui, vues comme
                 fonction de $X$, sont born{\'e}es sur $\mgo(F)\cap
                 \ggo_{\reg}$ : c'est un r{\'e}sultat bien connu de
                 Harish-Chandra. Si $M \subsetneq G$, les int{\'e}grales
                 orbitales pond{\'e}r{\'e}es explosent au voisinage des
                 {\'e}l{\'e}ments singuliers. Nous construisons dans cet
                 article de nouvelles int{\'e}grales orbitales
                 pond{\'e}r{\'e}es $J_M^b(X,f)$, {\'e}gales {\`a}
                 $J_M(X,f)$ {\`a} un terme correctif pr{\`e}s, qui tout
                 en conservant les principales propri{\'e}t{\'e}s des
                 pr{\'e}c{\'e}dentes (comportement par conjugaison,
                 d{\'e}veloppement en germes, {\em etc.}) restent
                 born{\'e}es quand $X$ parcourt
                 $\mgo(F)\cap\ggo_{\reg}$. Nous montrons {\'e}galement
                 que les int{\'e}grales orbitales pond{\'e}r{\'e}es
                 globales, associ{\'e}es {\`a} des {\'e}l{\'e}ments
                 semi-simples r{\'e}guliers, se d{\'e}composent en
                 produits de ces nouvelles int{\'e}grales locales.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
  language =     "French",
}

@Article{Ghahramani:2002:CFC,
  author =       "Fereidoun Ghahramani and Sandy Grabiner",
  title =        "Convergence Factors and Compactness in Weighted
                 Convolution Algebras",
  journal =      j-CAN-J-MATH,
  volume =       "54",
  number =       "??",
  pages =        "303--323",
  month =        "????",
  year =         "2002",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2002-010-5",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v54/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We study convergence in weighted convolution algebras
                 $L^1(\omega)$ on $R^+$, with the weights chosen such
                 that the corresponding weighted space $M(\omega)$ of
                 measures is also a Banach algebra and is the dual space
                 of a natural related space of continuous functions. We
                 determine convergence factor $\eta$ for which
                 weak$^\ast$-convergence of $\{\lambda_n\}$ to $\lambda$
                 in $M(\omega)$ implies norm convergence of $\lambda_n
                 \ast f$ to $\lambda \ast f$ in $L^1 (\omega\eta)$. We
                 find necessary and sufficient conditions which depend
                 on $\omega$ and $f$ and also find necessary and
                 sufficient conditions for $\eta$ to be a convergence
                 factor for all $L^1(\omega)$ and all $f$ in
                 $L^1(\omega)$. We also give some applications to the
                 structure of weighted convolution algebras. As a
                 preliminary result we observe that $\eta$ is a
                 convergence factor for $\omega$ and $f$ if and only if
                 convolution by $f$ is a compact operator from
                 $M(\omega)$ (or $L^1(\omega)$) to $L^1 (\omega\eta)$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Graham:2002:PRU,
  author =       "Ian Graham and Hidetaka Hamada and Gabriela Kohr",
  title =        "Parametric Representation of Univalent Mappings in
                 Several Complex Variables",
  journal =      j-CAN-J-MATH,
  volume =       "54",
  number =       "??",
  pages =        "324--351",
  month =        "????",
  year =         "2002",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2002-011-2",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v54/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $B$ be the unit ball of $\bb{C}^n$ with respect to
                 an arbitrary norm. We prove that the analog of the
                 Carath{\'e}odory set, {\em i.e.} the set of normalized
                 holomorphic mappings from $B$ into $\bb{C}^n$ of
                 ``positive real part'', is compact. This leads to
                 improvements in the existence theorems for the Loewner
                 differential equation in several complex variables. We
                 investigate a subset of the normalized biholomorphic
                 mappings of $B$ which arises in the study of the
                 Loewner equation, namely the set $S^0(B)$ of mappings
                 which have parametric representation. For the case of
                 the unit polydisc these mappings were studied by
                 Poreda, and on the Euclidean unit ball they were
                 studied by Kohr. As in Kohr's work, we consider subsets
                 of $S^0(B)$ obtained by placing restrictions on the
                 mapping from the Carath{\'e}odory set which occurs in
                 the Loewner equation. We obtain growth and covering
                 theorems for these subsets of $S^0(B)$ as well as
                 coefficient estimates, and consider various examples.
                 Also we shall see that in higher dimensions there exist
                 mappings in $S(B)$ which can be imbedded in Loewner
                 chains, but which do not have parametric
                 representation.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Haines:2002:CCS,
  author =       "Thomas J. Haines",
  title =        "On Connected Components of {Shimura} Varieties",
  journal =      j-CAN-J-MATH,
  volume =       "54",
  number =       "??",
  pages =        "352--395",
  month =        "????",
  year =         "2002",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2002-012-x",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v54/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We study the cohomology of connected components of
                 Shimura varieties $S_{K^p}$ coming from the group
                 $\GSp_{2g}$, by an approach modeled on the
                 stabilization of the twisted trace formula, due to
                 Kottwitz and Shelstad. More precisely, for each
                 character $\olomega$ on the group of connected
                 components of $S_{K^p}$ we define an operator
                 $L(\omega)$ on the cohomology groups with compact
                 supports $H^i_c (S_{K^p}, \olbbQ_\ell)$, and then we
                 prove that the virtual trace of the composition of
                 $L(\omega)$ with a Hecke operator $f$ away from $p$ and
                 a sufficiently high power of a geometric Frobenius
                 $\Phi^r_p$, can be expressed as a sum of $\omega$-{\em
                 weighted} (twisted) orbital integrals (where
                 $\omega$-{\em weighted} means that the orbital
                 integrals and twisted orbital integrals occuring here
                 each have a weighting factor coming from the character
                 $\olomega$). As the crucial step, we define and study a
                 new invariant $\alpha_1 (\gamma_0; \gamma, \delta)$
                 which is a refinement of the invariant $\alpha
                 (\gamma_0; \gamma, \delta)$ defined by Kottwitz. This
                 is done by using a theorem of Reimann and Zink.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Lebel:2002:FSS,
  author =       "Andr{\'e} Lebel",
  title =        "Framed Stratified Sets in {Morse} Theory",
  journal =      j-CAN-J-MATH,
  volume =       "54",
  number =       "??",
  pages =        "396--416",
  month =        "????",
  year =         "2002",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2002-013-7",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v54/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "In this paper, we present a smooth framework for some
                 aspects of the ``geometry of CW complexes'', in the
                 sense of Buoncristiano, Rourke and Sanderson
                 \cite{[BRS]}. We then apply these ideas to Morse
                 theory, in order to generalize results of Franks
                 \cite{[F]} and Iriye-Kono \cite{[IK]}. More precisely,
                 consider a Morse function $f$ on a closed manifold $M$.
                 We investigate the relations between the attaching maps
                 in a CW complex determined by $f$, and the moduli
                 spaces of gradient flow lines of $f$, with respect to
                 some Riemannian metric on $M$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Wooley:2002:SES,
  author =       "Trevor D. Wooley",
  title =        "Slim Exceptional Sets for Sums of Cubes",
  journal =      j-CAN-J-MATH,
  volume =       "54",
  number =       "??",
  pages =        "417--448",
  month =        "????",
  year =         "2002",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2002-014-4",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v54/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We investigate exceptional sets associated with
                 various additive problems involving sums of cubes. By
                 developing a method wherein an exponential sum over the
                 set of exceptions is employed explicitly within the
                 Hardy--Littlewood method, we are better able to exploit
                 excess variables. By way of illustration, we show that
                 the number of odd integers not divisible by $9$, and
                 not exceeding $X$, that fail to have a representation
                 as the sum of $7$ cubes of prime numbers, is
                 $O(X^{23/36+\eps})$. For sums of eight cubes of prime
                 numbers, the corresponding number of exceptional
                 integers is $O(X^{11/36+\eps})$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Akrout:2002:TVE,
  author =       "H. Akrout",
  title =        "Th{\'e}or{\`e}me de {Vorono{\'\i}} dans les espaces
                 sym{\'e}triques. ({French}) [{Vorono{\'\i}} theorem in
                 symmetric spaces]",
  journal =      j-CAN-J-MATH,
  volume =       "54",
  number =       "??",
  pages =        "449--467",
  month =        "????",
  year =         "2002",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2002-015-1",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v54/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "On d{\'e}montre un th{\'e}or{\`e}me de Vorono{\"\i}
                 (caract{\'e}risation des maxima locaux de l'invariant
                 d'Hermite) pour les familles de r{\'e}seaux
                 param{\'e}tr{\'e}es par les espaces sym{\'e}triques
                 irr{\'e}ductibles non exceptionnels de type non
                 compact. We prove a theorem of Vorono{\"\i} type
                 (characterisation of local maxima of the Hermite
                 invariant) for the lattices parametrized by irreducible
                 nonexceptional symmetric spaces of noncompact type.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
  language =     "French",
}

@Article{Boyd:2002:MMD,
  author =       "David W. Boyd and Fernando Rodriguez-Villegas",
  title =        "{Mahler}'s Measure and the Dilogarithm ({I})",
  journal =      j-CAN-J-MATH,
  volume =       "54",
  number =       "??",
  pages =        "468--492",
  month =        "????",
  year =         "2002",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2002-016-9",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v54/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "An explicit formula is derived for the logarithmic
                 Mahler measure $m(P)$ of $P(x,y) = p(x)y - q(x)$, where
                 $p(x)$ and $q(x)$ are cyclotomic. This is used to find
                 many examples of such polynomials for which $m(P)$ is
                 rationally related to the Dedekind zeta value $\zeta_F
                 (2)$ for certain quadratic and quartic fields.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Braden:2002:PSG,
  author =       "Tom Braden",
  title =        "Perverse Sheaves on {Grassmannians}",
  journal =      j-CAN-J-MATH,
  volume =       "54",
  number =       "??",
  pages =        "493--532",
  month =        "????",
  year =         "2002",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2002-017-6",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v54/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We compute the category of perverse sheaves on
                 Hermitian symmetric spaces in types A and D,
                 constructible with respect to the Schubert
                 stratification. The calculation is microlocal, and uses
                 the action of the Borel group to study the geometry of
                 the conormal variety $\Lambda$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Castelle:2002:AFP,
  author =       "Nathalie Castelle",
  title =        "Approximations fortes pour des processus bivari{\'e}s.
                 ({French}) [{Strong} approximations for bivariate
                 processes]",
  journal =      j-CAN-J-MATH,
  volume =       "54",
  number =       "??",
  pages =        "533--553",
  month =        "????",
  year =         "2002",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2002-018-3",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v54/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Nous {\'e}tablissons un r{\'e}sultat d'approximation
                 forte pour des processus bivari{\'e}s ayant une partie
                 gaussienne et une partie empirique. Ce r{\'e}esultat
                 apporte un nouveau point de vue sur deux
                 th{\'e}or{\`e}mes hongrois bidimensionnels {\'e}tablis
                 pr{\'e}c{\'e}demment, concernant l'approximation par un
                 processus de Kiefer d'un processus empirique uniforme
                 unidimensionnel et l'approximation par un pont brownien
                 bidimensionnel d'un processus empirique uniforme
                 bidimensionnel. Nous les enrichissons un peu et
                 montrons que sous leur nouvelle forme ils ne sont que
                 deux {\'e}nonc{\'e}s d'un m{\^e}me r{\'e}sultat. We
                 establish a strong approximation result for bivariate
                 processes containing a Gaussian part and an empirical
                 part. This result leads to a new point of view on two
                 Hungarian bidimensional theorems previously
                 established, about the approximation of an
                 unidimensional uniform empirical process by a Kiefer
                 process and the approximation of a bidimensional
                 uniform empirical process by a bidimensional Brownian
                 bridge. We enrich them slightly and we prove that,
                 under their new fashion, they are but two statements of
                 the same result.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
  language =     "French",
}

@Article{Hausen:2002:EES,
  author =       "J{\"u}rgen Hausen",
  title =        "Equivariant Embeddings into Smooth Toric Varieties",
  journal =      j-CAN-J-MATH,
  volume =       "54",
  number =       "??",
  pages =        "554--570",
  month =        "????",
  year =         "2002",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2002-019-0",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v54/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We characterize embeddability of algebraic varieties
                 into smooth toric varieties and prevarieties. Our
                 embedding results hold also in an equivariant context
                 and thus generalize a well-known embedding theorem of
                 Sumihiro on quasiprojective $G$-varieties. The main
                 idea is to reduce the embedding problem to the affine
                 case. This is done by constructing equivariant affine
                 conoids, a tool which extends the concept of an
                 equivariant affine cone over a projective $G$-variety
                 to a more general framework.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Li:2002:DPD,
  author =       "Chi-Kwong Li and Yiu-Tung Poon",
  title =        "Diagonals and Partial Diagonals of Sum of Matrices",
  journal =      j-CAN-J-MATH,
  volume =       "54",
  number =       "??",
  pages =        "571--594",
  month =        "????",
  year =         "2002",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2002-020-1",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v54/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Given a matrix $A$, let $\mathcal{O}(A)$ denote the
                 orbit of $A$ under a certain group action such as (1)
                 $U(m) \otimes U(n)$ acting on $m \times n$ complex
                 matrices $A$ by $(U,V)*A = UAV^t$, (2) $O(m) \otimes
                 O(n)$ or $\SO(m) \otimes \SO(n)$ acting on $m \times n$
                 real matrices $A$ by $(U,V)*A = UAV^t$, (3) $U(n)$
                 acting on $n \times n$ complex symmetric or
                 skew-symmetric matrices $A$ by $U*A = UAU^t$, (4)
                 $O(n)$ or $\SO(n)$ acting on $n \times n$ real
                 symmetric or skew-symmetric matrices $A$ by $U*A =
                 UAU^t$. Denote by \mathcal{O}(A_1, \dots,A_k) = \{X_1 +
                 \cdots + X_k : X_i \in \mathcal{O}(A_i), i = 1,
                 \dots,k\} the joint orbit of the matrices $A_1,
                 \dots,A_k$. We study the set of diagonals or partial
                 diagonals of matrices in $\mathcal{O}(A_1, \dots,A_k)$,
                 i.e., the set of vectors $(d_1, \dots,d_r)$ whose
                 entries lie in the $(1,j_1), \dots,(r,j_r)$ positions
                 of a matrix in $\mathcal{O}(A_1, \dots,A_k)$ for some
                 distinct column indices $j_1, \dots,j_r$. In many
                 cases, complete description of these sets is given in
                 terms of the inequalities involving the singular values
                 of $A_1, \dots,A_k$. We also characterize those extreme
                 matrices for which the equality cases hold.
                 Furthermore, some convexity properties of the joint
                 orbits are considered. These extend many classical
                 results on matrix inequalities, and answer some
                 questions by Miranda. Related results on the joint
                 orbit $\mathcal{O}(A_1, \dots,A_k)$ of complex
                 Hermitian matrices under the action of unitary
                 similarities are also discussed.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Nahlus:2002:LAP,
  author =       "Nazih Nahlus",
  title =        "{Lie} Algebras of Pro-Affine Algebraic Groups",
  journal =      j-CAN-J-MATH,
  volume =       "54",
  number =       "??",
  pages =        "595--607",
  month =        "????",
  year =         "2002",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2002-021-9",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v54/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We extend the basic theory of Lie algebras of affine
                 algebraic groups to the case of pro-affine algebraic
                 groups over an algebraically closed field $K$ of
                 characteristic 0. However, some modifications are
                 needed in some extensions. So we introduce the
                 pro-discrete topology on the Lie algebra
                 $\mathcal{L}(G)$ of the pro-affine algebraic group $G$
                 over $K$, which is discrete in the finite-dimensional
                 case and linearly compact in general. As an example, if
                 $L$ is any sub Lie algebra of $\mathcal{L}(G)$, we show
                 that the closure of $[L,L]$ in $\mathcal{L}(G)$ is
                 algebraic in $\mathcal{L}(G)$. We also discuss the Hopf
                 algebra of representative functions $H(L)$ of a
                 residually finite dimensional Lie algebra $L$. As an
                 example, we show that if $L$ is a sub Lie algebra of
                 $\mathcal{L}(G)$ and $G$ is connected, then the
                 canonical Hopf algebra morphism from $K[G]$ into $H(L)$
                 is injective if and only if $L$ is algebraically dense
                 in $\mathcal{L}(G)$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Stanley:2002:LSC,
  author =       "Donald Stanley",
  title =        "On the {Lusternik--Schnirelmann} Category of Maps",
  journal =      j-CAN-J-MATH,
  volume =       "54",
  number =       "??",
  pages =        "608--633",
  month =        "????",
  year =         "2002",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2002-022-6",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v54/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We give conditions which determine if $\cat$ of a map
                 go up when extending over a cofibre. We apply this to
                 reprove a result of Roitberg giving an example of a CW
                 complex $Z$ such that $\cat(Z)=2$ but every skeleton of
                 $Z$ is of category $1$. We also find conditions when
                 $\cat (f\times g) < \cat(f) + \cat(g)$. We apply our
                 result to show that under suitable conditions for
                 rational maps $f$, $\mcat(f) < \cat(f)$ is equivalent
                 to $\cat(f) = \cat (f\times \id_{S^n})$. Many examples
                 with $\mcat(f) < \cat(f)$ satisfying our conditions are
                 constructed. We also answer a question of Iwase by
                 constructing $p$-local spaces $X$ such that $\cat
                 (X\times S^1) = \cat(X) = 2$. In fact for our spaces
                 and every $Y \not\simeq *$, $\cat (X\times Y) \leq
                 \cat(Y) +1 < \cat(Y) + \cat(X)$. We show that this same
                 $X$ has the property $\cat(X) = \cat (X\times X) = \cl
                 (X\times X) = 2$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Weber:2002:FSW,
  author =       "Eric Weber",
  title =        "Frames and Single Wavelets for Unitary Groups",
  journal =      j-CAN-J-MATH,
  volume =       "54",
  number =       "??",
  pages =        "634--647",
  month =        "????",
  year =         "2002",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2002-023-3",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v54/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We consider a unitary representation of a discrete
                 countable abelian group on a separable Hilbert space
                 which is associated to a cyclic generalized frame
                 multiresolution analysis. We extend Robertson's theorem
                 to apply to frames generated by the action of the
                 group. Within this setup we use Stone's theorem and the
                 theory of projection valued measures to analyze
                 wandering frame collections. This yields a functional
                 analytic method of constructing a wavelet from a
                 generalized frame multi\-resolution analysis in terms
                 of the frame scaling vectors. We then explicitly apply
                 our results to the action of the integers given by
                 translations on $L^2({\mathbb R})$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Yuan:2002:RSP,
  author =       "Wenjun Yuan and Yezhou Li",
  title =        "Rational Solutions of {Painlev{\'e}} Equations",
  journal =      j-CAN-J-MATH,
  volume =       "54",
  number =       "??",
  pages =        "648--672",
  month =        "????",
  year =         "2002",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2002-024-0",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v54/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Consider the sixth Painlev{\'e} equation (P$_6$) below
                 where $\alpha$, $\beta$, $\gamma$ and $\delta$ are
                 complex parameters. We prove the necessary and
                 sufficient conditions for the existence of rational
                 solutions of equation (P$_6$) in term of special
                 relations among the parameters. The number of distinct
                 rational solutions in each case is exactly one or two
                 or infinite. And each of them may be generated by means
                 of transformation group found by Okamoto [7] and
                 B{\"a}cklund transformations found by Fokas and Yortsos
                 [4]. A list of rational solutions is included in the
                 appendix. For the sake of completeness, we collected
                 all the corresponding results of other five
                 Painlev{\'e} equations (P$_1$)--(P$_5$) below, which
                 have been investigated by many authors [1]--[7].",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Asgari:2002:LFS,
  author =       "Mahdi Asgari",
  title =        "Local {$L$}-Functions for Split Spinor Groups",
  journal =      j-CAN-J-MATH,
  volume =       "54",
  number =       "??",
  pages =        "673--693",
  month =        "????",
  year =         "2002",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2002-025-8",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v54/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We study the local L-functions for Levi subgroups in
                 split spinor groups defined via the Langlands-Shahidi
                 method and prove a conjecture on their holomorphy in a
                 half plane. These results have been used in the work of
                 Kim and Shahidi on the functorial product for GL$_2$ x
                 GL$_3$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Gabriel:2002:CAS,
  author =       "Michael J. Gabriel",
  title =        "{Cuntz} Algebra States Defined by Implementers of
                 Endomorphisms of the {$\CAR$} Algebra",
  journal =      j-CAN-J-MATH,
  volume =       "54",
  number =       "??",
  pages =        "694--708",
  month =        "????",
  year =         "2002",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2002-026-5",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v54/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We investigate representations of the Cuntz algebra
                 mathcal{O}$_2$ on antisymmetric Fock space F$_a$
                 (\mathcal{K}$_1$) defined by isometric implementers of
                 certain quasi-free endomorphisms of the CAR algebra in
                 pure quasi-free states $\varphi_{P_1}$. We pay
                 corresponding to these representations and the Fock
                 special attention to the vector states on
                 mathcal{O}$_2$ vacuum, for which we obtain explicit
                 formulae. Restricting these states to the
                 gauge-invariant subalgebra mathcal{F}$_2$, we find that
                 for natural choices of implementers, they are again
                 pure quasi-free and are, in fact, essentially the
                 states varphi$_{P 1}$ . We proceed to consider the case
                 for an arbitrary pair of implementers, and deduce that
                 these Cuntz algebra representations are irreducible, as
                 are their restrictions to mathcal{F}$_2$. The
                 endomorphisms of B ( F$_a$ (\mathcal{K}$_1$))
                 associated with these representations of mathcal{O}$_2$
                 are also considered.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Ismail:2002:IMR,
  author =       "Mourad E. H. Ismail and Dennis Stanton",
  title =        "$q$-Integral and Moment Representations for
                 $q$-Orthogonal Polynomials",
  journal =      j-CAN-J-MATH,
  volume =       "54",
  number =       "??",
  pages =        "709--735",
  month =        "????",
  year =         "2002",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2002-027-2",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v54/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We develop a method for deriving integral
                 representations of certain orthogonal polynomials as
                 moments. These moment representations are applied to
                 find linear and multilinear generating functions for
                 q-orthogonal polynomials. As a byproduct we establish
                 new transformation formulas for combinations of basic
                 hypergeometric functions, including a new
                 representation of the q-exponential function
                 mathcal{E}$_q$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Kearnes:2002:CFS,
  author =       "K. A. Kearnes and E. W. Kiss and {\'A}. Szendrei and
                 R. D. Willard",
  title =        "Chief Factor Sizes in Finitely Generated Varieties",
  journal =      j-CAN-J-MATH,
  volume =       "54",
  number =       "??",
  pages =        "736--756",
  month =        "????",
  year =         "2002",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2002-028-x",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v54/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let mathbf{A} be a k-element algebra whose chief
                 factor size is c. We show that if mathbf{B} is in the
                 variety generated by mathbf{A}, then any abelian chief
                 factor of mathbf{B} that is not strongly abelian has
                 size at most c$^{k-1}$. This solves Problem 5 of $The
                 Structure of Finite Algebras,$ by D. Hobby and R.
                 McKenzie. We refine this bound to c in the situation
                 where the variety generated by mathbf{A} omits type
                 mathbf{1}. As a generalization, we bound the size of
                 multitraces of types mathbf{1}, mathbf{2}, and
                 mathbf{3} by extending coordinatization theory.
                 Finally, we exhibit some examples of bad behavior, even
                 in varieties satisfying a congruence identity.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Larose:2002:SPG,
  author =       "Benoit Larose",
  title =        "Strongly Projective Graphs",
  journal =      j-CAN-J-MATH,
  volume =       "54",
  number =       "??",
  pages =        "757--768",
  month =        "????",
  year =         "2002",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2002-029-7",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v54/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We introduce the notion of strongly projective graph,
                 and characterise these graphs in terms of their
                 neighbourhood poset. We describe certain exponential
                 graphs associated to complete graphs and odd cycles. We
                 extend and generalise a result of Greenwell and
                 Lov{\'a}sz [6]: if a connected graph $G$ does not admit
                 a homomorphism to $K$, where $K$ is an odd cycle or a
                 complete graph on at least 3 vertices, then the graph
                 $G x K^s$ admits, up to automorphisms of $K$, exactly
                 $s$ homomorphisms to $K$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Miyazaki:2002:NOW,
  author =       "Takuya Miyazaki",
  title =        "Nilpotent Orbits and {Whittaker} Functions for Derived
                 Functor Modules of {$\Sp(2, \mathbb{R})$}",
  journal =      j-CAN-J-MATH,
  volume =       "54",
  number =       "??",
  pages =        "769--794",
  month =        "????",
  year =         "2002",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2002-030-8",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v54/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We study the moderate growth generalized Whittaker
                 functions, associated to a unitary character $\psi$ of
                 a unipotent subgroup, for the non-tempered
                 cohomological representation of $G = \Sp(2,R)$. Through
                 an explicit calculation of a holonomic system which
                 characterizes these functions we observe that their
                 existence is determined by the including relation
                 between the real nilpotent coadjoint $G$-orbit of
                 $\psi$ in $\mathfrak{g}_{\mathbb {R}^\ast}$ and the
                 asymptotic support of the cohomological
                 representation.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Moller:2002:STT,
  author =       "R{\"o}gnvaldur G. M{\"o}ller",
  title =        "Structure Theory of Totally Disconnected Locally
                 Compact Groups via Graphs and Permutations",
  journal =      j-CAN-J-MATH,
  volume =       "54",
  number =       "??",
  pages =        "795--827",
  month =        "????",
  year =         "2002",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2002-031-5",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v54/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Willis's structure theory of totally disconnected
                 locally compact groups is investigated in the context
                 of permutation actions. This leads to new
                 interpretations of the basic concepts in the theory and
                 also to new proofs of the fundamental theorems and to
                 several new results. The treatment of Willis's theory
                 is self-contained and full proofs are given of all the
                 fundamental results.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Moriyama:2002:SFS,
  author =       "Tomonori Moriyama",
  title =        "Spherical Functions for the Semisimple Symmetric Pair
                 {$\bigl( \Sp(2, \mathbb{R}), \SL(2, \mathbb{C})
                 \bigr)$}",
  journal =      j-CAN-J-MATH,
  volume =       "54",
  number =       "??",
  pages =        "828--896",
  month =        "????",
  year =         "2002",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2002-032-2",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v54/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let pi be an irreducible generalized principal series
                 representation of G = Sp(2, \mathbb{R}) induced from
                 its Jacobi parabolic subgroup. We show that the space
                 of algebraic intertwining operators from pi to the
                 representation induced from an irreducible admissible
                 representation of SL(2, \mathbb{C}) in G is at most one
                 dimensional. Spherical functions in the title are the
                 images of K-finite vectors by this intertwining
                 operator. We obtain an integral expression of
                 Mellin--Barnes type for the radial part of our
                 spherical function.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Ayuso:2002:VTF,
  author =       "Pedro Fortuny Ayuso",
  title =        "The Valuative Theory of Foliations",
  journal =      j-CAN-J-MATH,
  volume =       "54",
  number =       "??",
  pages =        "897--915",
  month =        "????",
  year =         "2002",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2002-033-x",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v54/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "This paper gives a characterization of valuations that
                 follow the singular infinitely near points of plane
                 vector fields, using the notion of L'H{\^o}pital
                 valuation, which generalizes a well known classical
                 condition. With that tool, we give a valuative
                 description of vector fields with infinite solutions,
                 singularities with rational quotient of eigenvalues in
                 its linear part, and polynomial vector fields with
                 transcendental solutions, among other results.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Bastien:2002:CCM,
  author =       "G. Bastien and M. Rogalski",
  title =        "Convexit{\'e}, compl{\`e}te monotonie et
                 in{\'e}galit{\'e}s sur les fonctions z{\^e}ta et gamma
                 sur les fonctions des op{\'e}rateurs de {Baskakov} et
                 sur des fonctions arithm{\'e}tiques. ({French})
                 [Convexity, complete monotonicity, and inequality for
                 zeta functions and gamma functions of the {Baskakov}
                 operators and for arithmetic functions]",
  journal =      j-CAN-J-MATH,
  volume =       "54",
  number =       "5",
  pages =        "916--944",
  month =        oct,
  year =         "2002",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2002-034-7",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v54/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We give optimal upper and lower bounds for the
                 function $H(x,s)=\sum_{n\geq 1}\frac{1}{(x+n)^s}$ for
                 $x\geq 0$ and $s > 1$. These bounds improve the
                 standard inequalities with integrals. We deduce from
                 them inequalities about Riemann's $\zeta$ function, and
                 we give a conjecture about the monotonicity of the
                 function $s\mapsto[(s-1)\zeta(s)]^{\frac{1}{s-1}}$.
                 Some applications concern the convexity of functions
                 related to Euler's $\Gamma$ function and optimal
                 majorization of elementary functions of Baskakov's
                 operators. Then, the result proved for the function
                 $x\mapsto x^{-s}$ is extended to completely monotonic
                 functions. This leads to easy evaluation of the order
                 of the generating series of some arithmetical functions
                 when $z$ tends to 1. The last part is concerned with
                 the class of non negative decreasing convex functions
                 on $]0,+\infty[$, integrable at infinity. Nous prouvons
                 un encadrement optimal pour la quantit{\'e}
                 $H(x,s)=\sum_{n\geq 1}\frac{1}{(x+n)^s}$ pour $x\geq 0$
                 et $s > 1$, qui am{\'e}liore l'encadrement standard par
                 des int{\'e}grales. Cet encadrement entra{\^\i}ne des
                 in{\'e}galit{\'e}s sur la fonction $\zeta$ de Riemann,
                 et am{\`e}ne {\`a} conjecturer la monotonie de la
                 fonction $s\mapsto[(s-1)\zeta(s)]^{\frac{1}{s-1}}$. On
                 donne des applications {\`a} l'{\'e}tude de la
                 convexit{\'e} de fonctions li{\'e}es {\`a} la fonction
                 $\Gamma$ d'Euler et {\`a} la majoration optimale des
                 fonctions {\'e}l{\'e}mentaires intervenant dans les
                 op{\'e}rateurs de Baskakov. Puis, nous {\'e}tendons aux
                 fonctions compl{\`e}tement monotones sur $]0,+\infty[$
                 les r{\'e}sultats {\'e}tablis pour la fonction
                 $x\mapsto x^{-s}$, et nous en d{\'e}duisons des preuves
                 {\'e}l{\'e}mentaires du comportement, quand $z$ tend
                 vers $1$, des s{\'e}ries g{\'e}n{\'e}ratrices de
                 certaines fonctions arithm{\'e}tiques. Enfin, nous
                 prouvons qu'une partie du r{\'e}sultat se
                 g{\'e}n{\'e}ralise {\`a} une classe de fonctions
                 convexes positives d{\'e}croissantes.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
  language =     "French",
}

@Article{Boivin:2002:ACS,
  author =       "Andr{\'e} Boivin and Paul M. Gauthier and Petr V.
                 Paramonov",
  title =        "Approximation on Closed Sets by Analytic or
                 Meromorphic Solutions of Elliptic Equations and
                 Applications",
  journal =      j-CAN-J-MATH,
  volume =       "54",
  number =       "??",
  pages =        "945--969",
  month =        "????",
  year =         "2002",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2002-035-4",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v54/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Given a homogeneous elliptic partial differential
                 operator $L$ with constant complex coefficients and a
                 class of functions (jet-distributions) which are
                 defined on a (relatively) closed subset of a domain
                 $\Omega$ in $\mathbf{R}^n$ and which belong locally to
                 a Banach space $V$, we consider the problem of
                 approximating in the norm of $V$ the functions in this
                 class by ``analytic'' and ``meromorphic'' solutions of
                 the equation $Lu=0$. We establish new Roth, Arakelyan
                 (including tangential) and Carleman type theorems for a
                 large class of Banach spaces $V$ and operators $L$.
                 Important applications to boundary value problems of
                 solutions of homogeneous elliptic partial differential
                 equations are obtained, including the solution of a
                 generalized Dirichlet problem.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Cegarra:2002:GCG,
  author =       "A. M. Cegarra and J. M. Garc{\'\i}a-Calcines and J. A.
                 Ortega",
  title =        "On Graded Categorical Groups and Equivariant Group
                 Extensions",
  journal =      j-CAN-J-MATH,
  volume =       "54",
  number =       "??",
  pages =        "970--997",
  month =        "????",
  year =         "2002",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2002-036-1",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v54/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "In this article we state and prove precise theorems on
                 the homotopy classification of graded categorical
                 groups and their homomorphisms. The results use
                 equivariant group cohomology, and they are applied to
                 show a treatment of the general equivariant group
                 extension problem.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Dimassi:2002:RSV,
  author =       "Mouez Dimassi",
  title =        "Resonances for Slowly Varying Perturbations of a
                 Periodic {Schr{\"o}dinger} Operator",
  journal =      j-CAN-J-MATH,
  volume =       "54",
  number =       "??",
  pages =        "998--1037",
  month =        "????",
  year =         "2002",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2002-037-9",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v54/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We study the resonances of the operator $P(h) =
                 -\Delta_x + V(x) + \varphi(hx)$. Here $V$ is a periodic
                 potential, $\varphi$ a decreasing perturbation and $h$
                 a small positive constant. We prove the existence of
                 shape resonances near the edges of the spectral bands
                 of $P_0 = -\Delta_x + V(x)$, and we give its asymptotic
                 expansions in powers of $h^{\frac12}$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Gavrilov:2002:BLC,
  author =       "Lubomir Gavrilov and Iliya D. Iliev",
  title =        "Bifurcations of Limit Cycles From Infinity in
                 Quadratic Systems",
  journal =      j-CAN-J-MATH,
  volume =       "54",
  number =       "??",
  pages =        "1038--1064",
  month =        "????",
  year =         "2002",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2002-038-6",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v54/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We investigate the bifurcation of limit cycles in
                 one-parameter unfoldings of quadractic differential
                 systems in the plane having a degenerate critical point
                 at infinity. It is shown that there are three types of
                 quadratic systems possessing an elliptic critical point
                 which bifurcates from infinity together with eventual
                 limit cycles around it. We establish that these limit
                 cycles can be studied by performing a degenerate
                 transformation which brings the system to a small
                 perturbation of certain well-known reversible systems
                 having a center. The corresponding displacement
                 function is then expanded in a Puiseux series with
                 respect to the small parameter and its coefficients are
                 expressed in terms of Abelian integrals. Finally, we
                 investigate in more detail four of the cases, among
                 them the elliptic case (Bogdanov-Takens system) and the
                 isochronous center $\mathcal{S}_3$. We show that in
                 each of these cases the corresponding vector space of
                 bifurcation functions has the Chebishev property: the
                 number of the zeros of each function is less than the
                 dimension of the vector space. To prove this we
                 construct the bifurcation diagram of zeros of certain
                 Abelian integrals in a complex domain.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Hayashi:2002:LTB,
  author =       "Nakao Hayashi and Pavel I. Naumkin",
  title =        "Large Time Behavior for the Cubic Nonlinear
                 {Schr{\"o}dinger} Equation",
  journal =      j-CAN-J-MATH,
  volume =       "54",
  number =       "??",
  pages =        "1065--1085",
  month =        "????",
  year =         "2002",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2002-039-3",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v54/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We consider the Cauchy problem for the cubic nonlinear
                 Schr{\"o}dinger equation in one space dimension: iu$_t$
                 + frac{1}{2} u$_{xx}$ + \bar{u}$^3$ = 0, t \in {\bf R},
                 x \in {\bf R}, u(0,x) = u$_0$ (x), x \in {\bf R}. Cubic
                 type nonlinearities in one space dimension
                 heuristically appear to be critical for large time. We
                 study the global existence and large time asymptotic
                 behavior of solutions to the Cauchy problem (\ref{A}).
                 We prove that if the initial data u$_0$ \in {\bf
                 H}$^{1,0}$ \cap {\bf H}$^{0,1}$ are small and such that
                 \sup$_{|\xi|\leq 1}$ |\arg mathcal{F} u$_0$ (\xi) -
                 \frac{\pi n}{2}| < \frac{\pi}{8} for some n \in {\bf
                 Z}, and \inf$_{|\xi|\leq 1}$ |\mathcal{F} u$_0$ (\xi)|
                 > 0, then the solution has an additional logarithmic
                 time-decay in the short range region $|x| \leq
                 \sqrt{t}$. In the far region $|x| > \sqrt{t}$ the
                 asymptotics have a quasi-linear character.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Polterovich:2002:CHT,
  author =       "Iosif Polterovich",
  title =        "Combinatorics of the Heat Trace on Spheres",
  journal =      j-CAN-J-MATH,
  volume =       "54",
  number =       "??",
  pages =        "1086--1099",
  month =        "????",
  year =         "2002",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2002-040-4",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v54/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We present a concise explicit expression for the heat
                 trace coefficients of spheres. Our formulas yield
                 certain combinatorial identities which are proved
                 following ideas of D. Zeilberger. In particular, these
                 identities allow to recover in a surprising way some
                 known formulas for the heat trace asymptotics. Our
                 approach is based on a method for computation of heat
                 invariants developed in [P].",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Wood:2002:OBF,
  author =       "Peter J. Wood",
  title =        "The Operator Biprojectivity of the {Fourier} Algebra",
  journal =      j-CAN-J-MATH,
  volume =       "54",
  number =       "??",
  pages =        "1100--1120",
  month =        "????",
  year =         "2002",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2002-041-1",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v54/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "In this paper, we investigate projectivity in the
                 category of operator spaces. In particular, we show
                 that the Fourier algebra of a locally compact group $G$
                 is operator biprojective if and only if $G$ is
                 discrete.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Bao:2002:FNE,
  author =       "Jiguang Bao",
  title =        "Fully Nonlinear Elliptic Equations on General
                 Domains",
  journal =      j-CAN-J-MATH,
  volume =       "54",
  number =       "??",
  pages =        "1121--1141",
  month =        "????",
  year =         "2002",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2002-042-9",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v54/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "By means of the Pucci operator, we construct a
                 function $u_0$, which plays an essential role in our
                 considerations, and give the existence and regularity
                 theorems for the bounded viscosity solutions of the
                 generalized Dirichlet problems of second order fully
                 nonlinear elliptic equations on the general bounded
                 domains, which may be irregular. The approximation
                 method, the accretive operator technique and the
                 Caffarelli's perturbation theory are used.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Binding:2002:FDE,
  author =       "Paul Binding and Branko 'Curgus",
  title =        "Form Domains and Eigenfunction Expansions for
                 Differential Equations with Eigenparameter Dependent
                 Boundary Conditions",
  journal =      j-CAN-J-MATH,
  volume =       "54",
  number =       "??",
  pages =        "1142--1164",
  month =        "????",
  year =         "2002",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2002-043-6",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v54/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Form domains are characterized for regular $2n$-th
                 order differential equations subject to general
                 self-adjoint boundary conditions depending affinely on
                 the eigenparameter. Corresponding modes of convergence
                 for eigenfunction expansions are studied, including
                 uniform convergence of the first $n-1$ derivatives.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Blasco:2002:MVV,
  author =       "Oscar Blasco and Jos{\'e} Luis Arregui",
  title =        "Multipliers on Vector Valued {Bergman} Spaces",
  journal =      j-CAN-J-MATH,
  volume =       "54",
  number =       "??",
  pages =        "1165--1186",
  month =        "????",
  year =         "2002",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2002-044-3",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v54/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $X$ be a complex Banach space and let $B_p(X)$
                 denote the vector-valued Bergman space on the unit disc
                 for $1\le p < \infty$. A sequence $(T_n)_n$ of bounded
                 operators between two Banach spaces $X$ and $Y$ defines
                 a multiplier between $B_p(X)$ and $B_q(Y)$ (resp.\
                 $B_p(X)$ and $\ell_q(Y)$) if for any function $f(z) =
                 \sum_{n=0}^\infty x_n z^n$ in $B_p(X)$ we have that
                 $g(z) = \sum_{n=0}^\infty T_n (x_n) z^n$ belongs to
                 $B_q(Y)$ (resp.\ $\bigl( T_n (x_n) \bigr)_n \in
                 \ell_q(Y)$). Several results on these multipliers are
                 obtained, some of them depending upon the Fourier or
                 Rademacher type of the spaces $X$ and $Y$. New
                 properties defined by the vector-valued version of
                 certain inequalities for Taylor coefficients of
                 functions in $B_p(X)$ are introduced.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Cobo:2002:IMR,
  author =       "Milton Cobo and Carlos Gutierrez and Jaume Llibre",
  title =        "On the Injectivity of {$C^1$} Maps of the Real Plane",
  journal =      j-CAN-J-MATH,
  volume =       "54",
  number =       "??",
  pages =        "1187--1201",
  month =        "????",
  year =         "2002",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2002-045-0",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v54/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $X\colon\mathbb{R}^2\to\mathbb{R}^2$ be a $C^1$
                 map. Denote by $\Spec(X)$ the set of (complex)
                 eigenvalues of $\DX_p$ when $p$ varies in
                 $\mathbb{R}^2$. If there exists $\epsilon > 0$ such
                 that $\Spec(X)\cap(-\epsilon, \epsilon)=\emptyset$,
                 then $X$ is injective. Some applications of this result
                 to the real Keller Jacobian conjecture are discussed.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Fernandez:2002:OGR,
  author =       "J. Fern{\'a}ndez and J-C. Lario and A. Rio",
  title =        "Octahedral {Galois} Representations Arising From
                 {$\mathbf{Q}$}-Curves of Degree $2$",
  journal =      j-CAN-J-MATH,
  volume =       "54",
  number =       "??",
  pages =        "1202--1228",
  month =        "????",
  year =         "2002",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2002-046-8",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v54/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Generically, one can attach to a {\bf Q} -curve $C$
                 octahedral representations
                 $\rho\colon\Gal(\bar{\mathbf{Q}}/\mathbf{Q})\rightarrow\GL_2(\bar\mathbf{F}_3)$
                 coming from the Galois action on the $3$-torsion of
                 those abelian varieties of $\GL_2$-type whose building
                 block is $C$. When $C$ is defined over a quadratic
                 field and has an isogeny of degree $2$ to its Galois
                 conjugate, there exist such representations $\rho$
                 having image into $\GL_2(\mathbf{F}_9)$. Going the
                 other way, we can ask which $\mod 3$ octahedral
                 representations $\rho$ of
                 $\Gal(\bar\mathbf{Q}/\mathbf{Q})$ arise from {\bf Q}
                 -curves in the above sense. We characterize those
                 arising from quadratic {\bf Q} -curves of degree $2$.
                 The approach makes use of Galois embedding techniques
                 in $\GL_2(\mathbf{F}_9)$, and the characterization can
                 be given in terms of a quartic polynomial defining the
                 $\mathcal{S}_4$-extension of $\mathbf{Q}$ corresponding
                 to the projective representation $\bar{\rho}$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Gow:2002:WCU,
  author =       "Roderick Gow and Fernando Szechtman",
  title =        "The {Weil} Character of the Unitary Group Associated
                 to a Finite Local Ring",
  journal =      j-CAN-J-MATH,
  volume =       "54",
  number =       "??",
  pages =        "1229--1253",
  month =        "????",
  year =         "2002",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2002-047-5",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v54/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $\mathbf{R}/R$ be a quadratic extension of finite,
                 commutative, local and principal rings of odd
                 characteristic. Denote by $\mathbf{U}_n (\mathbf{R})$
                 the unitary group of rank $n$ associated to
                 $\mathbf{R}/R$. The Weil representation of
                 $\mathbf{U}_n (\mathbf{R})$ is defined and its
                 character is explicitly computed.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Isaev:2002:EAU,
  author =       "A. V. Isaev and N. G. Kruzhilin",
  title =        "Effective Actions of the Unitary Group on Complex
                 Manifolds",
  journal =      j-CAN-J-MATH,
  volume =       "54",
  number =       "??",
  pages =        "1254--1279",
  month =        "????",
  year =         "2002",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2002-048-2",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v54/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We classify all connected $n$-dimensional complex
                 manifolds admitting effective actions of the unitary
                 group $U_n$ by biholomorphic transformations. One
                 consequence of this classification is a
                 characterization of $\CC^n$ by its automorphism
                 group.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Skrzypczak:2002:BSH,
  author =       "Leszek Skrzypczak",
  title =        "{Besov} Spaces and {Hausdorff} Dimension For Some
                 {Carnot--Carath{\'e}odory} Metric Spaces",
  journal =      j-CAN-J-MATH,
  volume =       "54",
  number =       "??",
  pages =        "1280--1304",
  month =        "????",
  year =         "2002",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2002-049-x",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v54/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We regard a system of left invariant vector fields
                 $\mathcal{X}=\{X_1, \dots,X_k\}$ satisfying the
                 H{\"o}rmander condition and the related
                 Carnot-Carath{\'e}odory metric on a unimodular Lie
                 group $G$. We define Besov spaces corresponding to the
                 sub-Laplacian $\Delta=\sum X_i^2$ both with positive
                 and negative smoothness. The atomic decomposition of
                 the spaces is given. In consequence we get the
                 distributional characterization of the Hausdorff
                 dimension of Borel subsets with the Haar measure
                 zero.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Vulakh:2002:CFA,
  author =       "L. Ya. Vulakh",
  title =        "Continued Fractions Associated with {$\SL_3
                 (\mathbf{Z})$} and Units in Complex Cubic Fields",
  journal =      j-CAN-J-MATH,
  volume =       "54",
  number =       "??",
  pages =        "1305--1318",
  month =        "????",
  year =         "2002",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2002-050-0",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v54/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Continued fractions associated with GL$_3$ ( {\bf Z})
                 are introduced and applied to find fundamental units in
                 a two-parameter family of complex cubic fields.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Yekutieli:2002:CHC,
  author =       "Amnon Yekutieli",
  title =        "The Continuous {Hochschild} Cochain Complex of a
                 Scheme",
  journal =      j-CAN-J-MATH,
  volume =       "54",
  number =       "??",
  pages =        "1319--1337",
  month =        "????",
  year =         "2002",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2002-051-8",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v54/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $X$ be a separated finite type scheme over a
                 noetherian base ring $\mathbb{K}$. There is a complex
                 $\widehat{\mathcal{C}}^{\cdot} (X)$ of topological
                 $\mathcal{O}_X$-modules, called the complete Hochschild
                 chain complex of $X$. To any $\mathcal{O}_X$-module
                 $\mathcal{M}$---not necessarily quasi-coherent---we
                 assign the complex $\mathcal{H}om^{\cont}_
                 {\mathcal{O}_X} \bigl( \widehat{\mathcal{C}}^{\cdot}
                 (X), \mathcal{M} \bigr)$ of continuous Hochschild
                 cochains with values in $\mathcal{M}$. Our first main
                 result is that when $X$ is smooth over $\mathbb{K}$
                 there is a functorial isomorphism
                 \mathcal{H}om^{\cont}_ {\mathcal{O}_X} \bigl(
                 \widehat{\mathcal{C}}^{\cdot} (X), \mathcal{M} \bigr)
                 \cong \R \mathcal{H}om_ {\mathcal{O}_ {X^2}}
                 (\mathcal{O}_X, \mathcal{M}) in the derived category
                 $\mathsf{D} (\Mod \mathcal{O}_ {X^2})$, where $X^2 := X
                 \times_ {\mathbb{K}} X$. The second main result is that
                 if $X$ is smooth of relative dimension $n$ and $n!$ is
                 invertible in $\mathbb{K}$, then the standard maps $\pi
                 \colon \widehat{\mathcal{C}}^{-q} (X) \to \Omega^q_ {X/
                 \mathbb{K}}$ induce a quasi-isomorphism \mathcal{H}om_
                 {\mathcal{O}_X} \Bigl( \bigoplus_q \Omega^q_ {X/
                 \mathbb{K}} [q], \mathcal{M} \Bigr) \to
                 \mathcal{H}om^{\cont}_ {\mathcal{O}_X} \bigl(
                 \widehat{\mathcal{C}}^{\cdot} (X), \mathcal{M} \bigr).
                 When $\mathcal{M} = \mathcal{O}_X$ this is the
                 quasi-isomorphism underlying the Kontsevich Formality
                 Theorem. Combining the two results above we deduce a
                 decomposition of the global Hochschild cohomology",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Anonymous:2002:AII,
  author =       "Anonymous",
  title =        "Author Index - Index des auteurs --- for 2002 - pour
                 2002",
  journal =      j-CAN-J-MATH,
  volume =       "54",
  number =       "??",
  pages =        "1338--1342",
  month =        "????",
  year =         "2002",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2002-052-5",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:10 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v54/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Baake:2003:ESM,
  author =       "Michael Baake and Ellen Baake",
  title =        "An Exactly Solved Model for Mutation, Recombination
                 and Selection",
  journal =      j-CAN-J-MATH,
  volume =       "55",
  number =       "??",
  pages =        "3--41",
  month =        "????",
  year =         "2003",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2003-001-0",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v55/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  note =         "See erratum \cite{Baake:2008:EES}.",
  abstract =     "It is well known that rather general
                 mutation-recombination models can be solved
                 algorithmically (though not in closed form) by means of
                 Haldane linearization. The price to be paid is that one
                 has to work with a multiple tensor product of the state
                 space one started from. Here, we present a relevant
                 subclass of such models, in continuous time, with
                 independent mutation events at the sites, and crossover
                 events between them. It admits a closed solution of the
                 corresponding differential equation on the basis of the
                 original state space, and also closed expressions for
                 the linkage disequilibria, derived by means of
                 M{\"o}bius inversion. As an extra benefit, the approach
                 can be extended to a model with selection of additive
                 type across sites. We also derive a necessary and
                 sufficient criterion for the mean fitness to be a
                 Lyapunov function and determine the asymptotic
                 behaviour of the solutions.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Benanti:2003:SVG,
  author =       "Francesca Benanti and Onofrio M. {Di Vincenzo} and
                 Vincenzo Nardozza",
  title =        "$ * $-Subvarieties of the Variety Generated by
                 {$\bigl( {M_2(\mathbb{K})}, t \bigr)$}",
  journal =      j-CAN-J-MATH,
  volume =       "55",
  number =       "??",
  pages =        "42--63",
  month =        "????",
  year =         "2003",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2003-002-7",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v55/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let {\bf K} be a field of characteristic zero, and *=t
                 the transpose involution for the matrix algebra M$_2$ (
                 {\bf K}). Let \mathfrak{U} be a proper subvariety of
                 the variety of algebras with involution generated by (
                 M$_2$ ( {\bf K}),*). We define two sequences of
                 algebras with involution mathcal{R}$_p$,
                 mathcal{S}$_q$, where p,q \in {\bf N}. Then we show
                 that T$_*$ (\mathfrak{U}) and T$_*$ (\mathcal{R}$_p$
                 \oplus mathcal{S}$_q$) are *-asymptotically equivalent
                 for suitable p,q.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Braun:2003:HOT,
  author =       "R{\"u}diger W. Braun and Reinhold Meise and B. A.
                 Taylor",
  title =        "Higher Order Tangents to Analytic Varieties along
                 Curves",
  journal =      j-CAN-J-MATH,
  volume =       "55",
  number =       "??",
  pages =        "64--90",
  month =        "????",
  year =         "2003",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2003-003-3",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v55/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let V be an analytic variety in some open set in {\bf
                 C}$^n$ which contains the origin and which is purely
                 k-dimensional. For a curve \gamma in {\bf C}$^n$,
                 defined by a convergent Puiseux series and satisfying
                 \gamma(0) = 0, and $d \ge 1$, define V$_t$ := t$^{-d}$
                 ( V - \gamma(t)). Then the currents defined by V$_t$
                 converge to a limit current T$_{\gamma,d}$ [V] as t
                 tends to zero. T$_{\gamma,d}$ [V] is either zero or its
                 support is an algebraic variety of pure dimension k in
                 {\bf C}$^n$. Properties of such limit currents and
                 examples are presented. These results will be applied
                 in a forthcoming paper to derive necessary conditions
                 for varieties satisfying the local
                 Phragm{\'e}n-Lindel{\"o}f condition that was used by
                 H{\"o}rmander to characterize the constant coefficient
                 partial differential operators which act surjectively
                 on the space of all real analytic functions on {\bf
                 R}$^n$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Choi:2003:SCF,
  author =       "Man-Duen Choi and Chi-Kwong Li and Yiu-Tung Poon",
  title =        "Some Convexity Features Associated with Unitary
                 Orbits",
  journal =      j-CAN-J-MATH,
  volume =       "55",
  number =       "??",
  pages =        "91--111",
  month =        "????",
  year =         "2003",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2003-004-x",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v55/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let mathcal{H}$_n$ be the real linear space of n x n
                 complex Hermitian matrices. The unitary (similarity)
                 orbit mathcal{U} (C) of C \in mathcal{H}$_n$ is the
                 collection of all matrices unitarily similar to C. We
                 characterize those C \in mathcal{H}$_n$ such that every
                 matrix in the convex hull of mathcal{U}(C) can be
                 written as the average of two matrices in
                 mathcal{U}(C). The result is used to study spectral
                 properties of submatrices of matrices in mathcal{U}(C),
                 the convexity of images of mathcal{U} (C) under linear
                 transformations, and some related questions concerning
                 the joint C-numerical range of Hermitian matrices.
                 Analogous results on real symmetric matrices are also
                 discussed.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Shen:2003:FM,
  author =       "Zhongmin Shen",
  title =        "{Finsler} Metrics with {${\bf K} = 0$} and {${\bf S} =
                 0$}",
  journal =      j-CAN-J-MATH,
  volume =       "55",
  number =       "??",
  pages =        "112--132",
  month =        "????",
  year =         "2003",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2003-005-6",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v55/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "In the paper, we study the shortest time problem on a
                 Riemannian space with an external force. We show that
                 such problem can be converted to a shortest path
                 problem on a Randers space. By choosing an appropriate
                 external force on the Euclidean space, we obtain a
                 non-trivial Randers metric of zero flag curvature. We
                 also show that any positively complete Randers metric
                 with zero flag curvature must be locally Minkowskian.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Shimada:2003:ZVK,
  author =       "Ichiro Shimada",
  title =        "On the Zariski-van {Kampen} Theorem",
  journal =      j-CAN-J-MATH,
  volume =       "55",
  number =       "??",
  pages =        "133--156",
  month =        "????",
  year =         "2003",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2003-006-2",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v55/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let f \colon E \to B be a dominant morphism, where E
                 and B are smooth irreducible complex quasi-projective
                 varieties, and let F$_b$ be the general fiber of f. We
                 present conditions under which the homomorphism pi$_1$
                 (F$_b$) \to pi$_1$ (E) induced by the inclusion is
                 injective.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Shimada:2003:ZHS,
  author =       "Ichiro Shimada",
  title =        "{Zariski} Hyperplane Section Theorem for
                 {Grassmannian} Varieties",
  journal =      j-CAN-J-MATH,
  volume =       "55",
  number =       "??",
  pages =        "157--180",
  month =        "????",
  year =         "2003",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2003-007-9",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v55/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let phi \colon X \to M be a morphism from a smooth
                 irreducible complex quasi-projective variety X to a
                 Grassmannian variety M such that the image is of
                 dimension \ge 2. Let D be a reduced hypersurface in M,
                 and \gamma a general linear automorphism of M. We show
                 that, under a certain differential-geometric condition
                 on phi(X) and D, the fundamental group pi$_1$ ( (\gamma
                 \circ phi)$^{-1}$ (M \setminus D)) is isomorphic to a
                 central extension of pi$_1$ (M \setminus D) \times
                 pi$_1$ (X) by the cokernel of pi$_2$ (phi) \colon
                 pi$_2$ (X) \to pi$_2$ (M).",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Theriault:2003:HDI,
  author =       "Stephen D. Theriault",
  title =        "Homotopy Decompositions Involving the Loops of
                 Coassociative Co-{$H$} Spaces",
  journal =      j-CAN-J-MATH,
  volume =       "55",
  number =       "??",
  pages =        "181--203",
  month =        "????",
  year =         "2003",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2003-008-5",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v55/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "James gave an integral homotopy decomposition of
                 \Sigma \Omega Sigma X, Hilton-Milnor one for \Omega
                 (Sigma X \vee Sigma Y), and Cohen-Wu gave p-local
                 decompositions of \Omega Sigma X if X is a suspension.
                 All are natural. Using idempotents and telescopes we
                 show that the James and Hilton-Milnor decompositions
                 have analogues when the suspensions are replaced by
                 coassociative co-H spaces, and the Cohen-Wu
                 decomposition has an analogue when the (double)
                 suspension is replaced by a coassociative,
                 cocommutative co-H space.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Yan:2003:NCO,
  author =       "Yaqiang Yan",
  title =        "On the Nonsquare Constants of {Orlicz} Spaces with
                 {Orlicz} Norm",
  journal =      j-CAN-J-MATH,
  volume =       "55",
  number =       "??",
  pages =        "204--224",
  month =        "????",
  year =         "2003",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2003-009-1",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v55/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let l$^{Phi}$ and L$^{Phi}$ (\Omega) be the Orlicz
                 sequence space and function space generated by
                 N-function Phi(u) with Orlicz norm. We give equivalent
                 expressions for the nonsquare constants C$_J$
                 (l$^{Phi}$), C$_J$ ( L$^{Phi}$ (\Omega)) in sense of
                 James and C$_S$ (l$^{Phi}$), C$_S$ ( L$^{Phi}$
                 (\Omega)) in sense of Sch{\"a}ffer. We are devoted to
                 get practical computational formulas giving estimates
                 of these constants and to obtain their exact value in a
                 class of spaces l$^{Phi}$ and L$^{Phi}$ (\Omega).",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Banks:2003:SKS,
  author =       "William D. Banks and Asma Harcharras and Igor E.
                 Shparlinski",
  title =        "Short {Kloosterman} Sums for Polynomials over Finite
                 Fields",
  journal =      j-CAN-J-MATH,
  volume =       "55",
  number =       "??",
  pages =        "225--246",
  month =        "????",
  year =         "2003",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2003-010-0",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v55/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We extend to the setting of polynomials over a finite
                 field certain estimates for short Kloosterman sums
                 originally due to Karatsuba. Our estimates are then
                 used to establish some uniformity of distribution
                 results in the ring {\bf F}$_q$ [x]/M(x) for
                 collections of polynomials either of the form f$^{-1}$
                 g$^{-1}$ or of the form f$^{-1}$ g$^{-1}$ +afg, where f
                 and g are polynomials coprime to M and of very small
                 degree relative to M, and a is an arbitrary polynomial.
                 We also give estimates for short Kloosterman sums where
                 the summation runs over products of two irreducible
                 polynomials of small degree. It is likely that this
                 result can be used to give an improvement of the
                 Brun-Titchmarsh theorem for polynomials over finite
                 fields.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Cushman:2003:DSO,
  author =       "Richard Cushman and J{\k{e}}drzej {\'S}niatycki",
  title =        "{``Differential Structure of Orbit Spaces''}:
                 Erratum",
  journal =      j-CAN-J-MATH,
  volume =       "55",
  number =       "2",
  pages =        "247--247",
  month =        apr,
  year =         "2003",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2003-011-8",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v55/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  note =         "See \cite{Cushman:2001:DSO}.",
  abstract =     "This note signals an error in the above paper by
                 giving a counter-example.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Dhillon:2003:GTT,
  author =       "Ajneet Dhillon",
  title =        "A Generalized {Torelli} Theorem",
  journal =      j-CAN-J-MATH,
  volume =       "55",
  number =       "??",
  pages =        "248--265",
  month =        "????",
  year =         "2003",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2003-012-5",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v55/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Given a smooth projective curve C of positive genus g,
                 Torelli's theorem asserts that the pair (
                 J(C),W$^{g-1}$) determines C. We show that the theorem
                 is true with W$^{g-1}$ replaced by W$^d$ for each d in
                 the range 1 \le d \le g-1.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Kogan:2003:TAM,
  author =       "Irina A. Kogan",
  title =        "Two Algorithms for a Moving Frame Construction",
  journal =      j-CAN-J-MATH,
  volume =       "55",
  number =       "??",
  pages =        "266--291",
  month =        "????",
  year =         "2003",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2003-013-2",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v55/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "The method of moving frames, introduced by Elie
                 Cartan, is a powerful tool for the solution of various
                 equivalence problems. The practical implementation of
                 Cartan's method, however, remains challenging, despite
                 its later significant development and generalization.
                 This paper presents two new variations on the Fels and
                 Olver algorithm, which under some conditions on the
                 group action, simplify a moving frame construction. In
                 addition, the first algorithm leads to a better
                 understanding of invariant differential forms on the
                 jet bundles, while the second expresses the
                 differential invariants for the entire group in terms
                 of the differential invariants of its subgroup.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Pitman:2003:IDL,
  author =       "Jim Pitman and Marc Yor",
  title =        "Infinitely Divisible Laws Associated with Hyperbolic
                 Functions",
  journal =      j-CAN-J-MATH,
  volume =       "55",
  number =       "??",
  pages =        "292--330",
  month =        "????",
  year =         "2003",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2003-014-x",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v55/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "The infinitely divisible distributions on {\bf R}$^+$
                 of random variables C$_t$, S$_t$ and T$_t$ with Laplace
                 transforms (frac{1}{\cosh \sqrt{2\lambda}})$^t$,
                 (frac{\sqrt{2\lambda}}{\sinh \sqrt{2\lambda}})$^t$, and
                 (frac{\tanh \sqrt{2\lambda}}{\sqrt{2\lambda}})$^t$
                 respectively are characterized for various t > 0 in a
                 number of different ways: by simple relations between
                 their moments and cumulants, by corresponding relations
                 between the distributions and their L{\'e}vy measures,
                 by recursions for their Mellin transforms, and by
                 differential equations satisfied by their Laplace
                 transforms. Some of these results are interpreted
                 probabilistically via known appearances of these
                 distributions for t=1 or 2 in the description of the
                 laws of various functionals of Brownian motion and
                 Bessel processes, such as the heights and lengths of
                 excursions of a one-dimensional Brownian motion. The
                 distributions of C$_1$ and S$_2$ are also known to
                 appear in the Mellin representations of two important
                 functions in analytic number theory, the Riemann zeta
                 function and the Dirichlet L-function associated with
                 the quadratic character modulo 4. Related families of
                 infinitely divisible laws, including the \gamma,
                 logistic and generalized hyperbolic secant
                 distributions, are derived from S$_t$ and C$_t$ by
                 operations such as Brownian subordination, exponential
                 tilting, and weak limits, and characterized in various
                 ways.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Savitt:2003:MNP,
  author =       "David Savitt",
  title =        "The Maximum Number of Points on a Curve of Genus $4$
                 over {$\mathbb{F}_8$} is $25$",
  journal =      j-CAN-J-MATH,
  volume =       "55",
  number =       "??",
  pages =        "331--352",
  month =        "????",
  year =         "2003",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2003-015-7",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v55/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We prove that the maximum number of rational points on
                 a smooth, geometrically irreducible genus 4 curve over
                 the field of 8 elements is 25. The body of the paper
                 shows that 27 points is not possible by combining
                 techniques from algebraic geometry with a computer
                 verification. The appendix shows that 26 points is not
                 possible by examining the zeta functions.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Silberger:2003:WEM,
  author =       "Allan J. Silberger and Ernst-Wilhelm Zink",
  title =        "Weak Explicit Matching for Level Zero Discrete Series
                 of Unit Groups of $\mathfrak{p}$-Adic Simple Algebras",
  journal =      j-CAN-J-MATH,
  volume =       "55",
  number =       "??",
  pages =        "353--378",
  month =        "????",
  year =         "2003",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2003-016-4",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v55/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let F be a $p$-adic local field and let A$_i^\times$
                 be the unit group of a central simple F-algebra A$_i$
                 of reduced degree n > 1 (i = 1, 2). Let mathcal{R}$^2$
                 (A$_i^\times$) denote the set of irreducible discrete
                 series representations of A$_i^\times$. The {``Abstract
                 Matching Theorem''} asserts the existence of a
                 bijection, the {``Jacquet Langlands''} map {\cal
                 JL}$_{A 2}$ A$_1$ : mathcal{R}$^2$ ( A$_1^\times$) \to
                 mathcal{R}$^2$ ( A$_2^\times$) which, up to known sign,
                 preserves character values for regular elliptic
                 elements. This paper addresses the question of
                 explicitly describing the map mathcal{J} mathcal{L},
                 but only for {``level zero''} representations. We prove
                 that the restriction mathcal{J} mathcal{L}$_{A
                 2}$,A$_1$ : mathcal{R}$_0^2$ (A$_1^\times$) \to
                 mathcal{R}$_0^2$ (A$_2^\times$) is a bijection of level
                 zero discrete series (Proposition 3.2) and we give a
                 parameterization of the set of unramified twist classes
                 of level zero discrete series which does not depend
                 upon the algebra A$_i$ and is invariant under
                 mathcal{J} mathcal{L}$_{A 2}$,A$_1$ (Theorem 4.1).",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Stessin:2003:GFH,
  author =       "Michael Stessin and Kehe Zhu",
  title =        "Generalized Factorization in {Hardy} Spaces and the
                 Commutant of {Toeplitz} Operators",
  journal =      j-CAN-J-MATH,
  volume =       "55",
  number =       "??",
  pages =        "379--400",
  month =        "????",
  year =         "2003",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2003-017-1",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v55/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Every classical inner function varphi in the unit disk
                 gives rise to a certain factorization of functions in
                 Hardy spaces. This factorization, which we call the
                 generalized Riesz factorization, coincides with the
                 classical Riesz factorization when varphi(z)=z. In this
                 paper we prove several results about the generalized
                 Riesz factorization, and we apply this factorization
                 theory to obtain a new description of the commutant of
                 analytic Toeplitz operators with inner symbols on a
                 Hardy space. We also discuss several related issues in
                 the context of the Bergman space.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Varopoulos:2003:GEL,
  author =       "N. Th. Varopoulos",
  title =        "{Gaussian} Estimates in {Lipschitz} Domains",
  journal =      j-CAN-J-MATH,
  volume =       "55",
  number =       "??",
  pages =        "401--431",
  month =        "????",
  year =         "2003",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2003-018-9",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v55/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We give upper and lower Gaussian estimates for the
                 diffusion kernel of a divergence and nondivergence form
                 elliptic operator in a Lipschitz domain. On donne des
                 estimations Gaussiennes pour le noyau d'une diffusion,
                 r{\'e}versible ou pas, dans un domaine Lipschitzien.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Zaharescu:2003:PCS,
  author =       "Alexandru Zaharescu",
  title =        "Pair Correlation of Squares in $p$-Adic Fields",
  journal =      j-CAN-J-MATH,
  volume =       "55",
  number =       "??",
  pages =        "432--448",
  month =        "????",
  year =         "2003",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2003-019-6",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v55/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let p be an odd prime number, K a $p$-adic field of
                 degree r over mathbf{Q}$_p$, O the ring of integers in
                 K, B = {\beta$_1$,..., \beta$_r$} an integral basis of
                 K over mathbf{Q}$_p$, u a unit in O and consider sets
                 of the form mathcal{N}={n$_1$ \beta$_1$ + ... + n$_r$
                 \beta$_r$: 1 \leq n$_j$ \leq N$_j$, 1 \leq j \leq r}.
                 We show under certain growth conditions that the pair
                 correlation of {uz$^2$: z \in mathcal{N}} becomes
                 Poissonian.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Albeverio:2003:GSS,
  author =       "Sergio Albeverio and Konstantin A. Makarov and
                 Alexander K. Motovilov",
  title =        "Graph Subspaces and the Spectral Shift Function",
  journal =      j-CAN-J-MATH,
  volume =       "55",
  number =       "??",
  pages =        "449--503",
  month =        "????",
  year =         "2003",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2003-020-7",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v55/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We obtain a new representation for the solution to the
                 operator Sylvester equation in the form of a Stieltjes
                 operator integral. We also formulate new sufficient
                 conditions for the strong solvability of the operator
                 Riccati equation that ensures the existence of reducing
                 graph subspaces for block operator matrices. Next, we
                 extend the concept of the Lifshits-Krein spectral shift
                 function associated with a pair of self-adjoint
                 operators to the case of pairs of admissible operators
                 that are similar to self-adjoint operators. Based on
                 this new concept we express the spectral shift function
                 arising in a perturbation problem for block operator
                 matrices in terms of the angular operators associated
                 with the corresponding perturbed and unperturbed
                 eigenspaces.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Chen:2003:COR,
  author =       "Jiecheng Chen and Dashan Fan and Yiming Ying",
  title =        "Certain Operators with Rough Singular Kernels",
  journal =      j-CAN-J-MATH,
  volume =       "55",
  number =       "??",
  pages =        "504--532",
  month =        "????",
  year =         "2003",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2003-021-4",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v55/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We study the singular integral operator $T$_{\Omega,
                 \alpha}$ f$ ( $x$) $= p.v. \int$_{R$^n$}$ b$ (| $y$ |)
                 $\Omega$ ( $y'$) | $y$ | $$^{-n- \alpha}$ f$ ( $x-y$)
                 $dy,$ defined on all test functions $f$, where $b$ is a
                 bounded function, $\alpha \geq$ 0, $\Omega(y')$ is an
                 integrable function on the unit sphere S$^{n- 1}$
                 satisfying certain cancellation conditions. We prove
                 that, for 1 $ < p < \infty$, $T$_{\Omega, \alpha}$$
                 extends bounded operator from the Sobolev space
                 $L$^p_{\alpha}$$ to the Lebesgue space $L^p$ with
                 $\Omega$ being a distribution in the Hardy space H$^q$
                 (S$^{n- 1}$) with $q=$ ( $n-$ 1)/( $n-$ 1 $+ \alpha$).
                 The result extends some known results on the singular
                 integral operators. As applications, we obtain the
                 boundedness for $T$_{\Omega, \alpha}$$ on the Hardy
                 spaces, as well as the boundedness for the truncated
                 maximal operator T$^*_{\Omega,m}$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Edo:2003:AME,
  author =       "Eric Edo",
  title =        "Automorphismes mod{\'e}r{\'e}s de l'espace affine.
                 ({French}) [{Moderate} automorphisms of affine space]",
  journal =      j-CAN-J-MATH,
  volume =       "55",
  number =       "??",
  pages =        "533--560",
  month =        "????",
  year =         "2003",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2003-022-1",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v55/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Le probl{\`e}me de Jung-Nagata ( $cf.$ [J], [N])
                 consiste {\`a} savoir s'il existe des automorphismes de
                 k[x,y,z] qui ne sont pas mod{\'e}r{\'e}s. Nous
                 proposons une approche nouvelle de cette question,
                 fond{\'e}e sur l'utilisation de la th{\'e}orie des
                 automates et du polygone de Newton. Cette approche
                 permet notamment de g{\'e}n{\'e}raliser de fa{\c{c}}on
                 significative les r{\'e}sultats de [A]. The
                 Jung-Nagata's problem ( $cf.$ [J], [N]) asks if there
                 exists non-tame (or wild) automorphisms of k[x,y,z]. We
                 give a new way to attack this question, based on the
                 automata theory and the Newton polygon. This new
                 approch allows us to generalize significantly the
                 results of [A].",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
  language =     "French",
}

@Article{Laface:2003:QHL,
  author =       "Antonio Laface and Luca Ugaglia",
  title =        "Quasi-Homogeneous Linear Systems on {$\mathbb{P}^2$}
                 with Base Points of Multiplicity $5$",
  journal =      j-CAN-J-MATH,
  volume =       "55",
  number =       "??",
  pages =        "561--575",
  month =        "????",
  year =         "2003",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2003-023-9",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v55/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "In this paper we consider linear systems of {\bf
                 P}$^2$ with all but one of the base points of
                 multiplicity 5. We give an explicit way to evaluate the
                 dimensions of such systems.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Lukashov:2003:AOE,
  author =       "A. L. Lukashov and F. Peherstorfer",
  title =        "Automorphic Orthogonal and Extremal Polynomials",
  journal =      j-CAN-J-MATH,
  volume =       "55",
  number =       "??",
  pages =        "576--608",
  month =        "????",
  year =         "2003",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2003-024-6",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v55/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "It is well known that many polynomials which solve
                 extremal problems on a single interval as the Chebyshev
                 or the Bernstein--Szeg{\H{o}} polynomials can be
                 represented by trigonometric functions and their
                 inverses. On two intervals one has elliptic instead of
                 trigonometric functions. In this paper we show that the
                 counterparts of the Chebyshev and
                 Bernstein--Szeg{\H{o}} polynomials for several
                 intervals can be represented with the help of
                 automorphic functions, so-called Schottky--Burnside
                 functions. Based on this representation and using the
                 Schottky--Burnside automorphic functions as a tool
                 several extremal properties of such polynomials as
                 orthogonality properties, extremal properties with
                 respect to the maximum norm, behaviour of zeros and
                 recurrence coefficients, etc., are derived.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Moraru:2003:ISA,
  author =       "Ruxandra Moraru",
  title =        "Integrable Systems Associated to a {Hopf} Surface",
  journal =      j-CAN-J-MATH,
  volume =       "55",
  number =       "??",
  pages =        "609--635",
  month =        "????",
  year =         "2003",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2003-025-3",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v55/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "A Hopf surface is the quotient of the complex surface
                 {\bf C} $$^2$ \setminus$ {0} by an infinite cyclic
                 group of dilations of {\bf C}$^2$. In this paper, we
                 study the moduli spaces {$\cal M$} $$^n$$ of stable SL
                 (2, {\bf C}) -bundles on a Hopf surface {$\cal H$},
                 from the point of view of symplectic geometry. An
                 important point is that the surface {$\cal H$} is an
                 elliptic fibration, which implies that a vector bundle
                 on {$\cal H$} can be considered as a family of vector
                 bundles over an elliptic curve. We define a map $G:
                 {\cal M}^n \rightarrow {\bf P}^{2 n+ 1}$ that
                 associates to every bundle on {$\cal H$} a divisor,
                 called the graph of the bundle, which encodes the
                 isomorphism class of the bundle over each elliptic
                 curve. We then prove that the map $G$ is an
                 algebraically completely integrable Hamiltonian system,
                 with respect to a given Poisson structure on ${\cal
                 M}^n$. We also give an explicit description of the
                 fibres of the integrable system. This example is
                 interesting for several reasons; in particular, since
                 the Hopf surface is not K{\"a}hler, it is an elliptic
                 fibration that does not admit a section.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Schwartzman:2003:HDA,
  author =       "Sol Schwartzman",
  title =        "Higher Dimensional Asymptotic Cycles",
  journal =      j-CAN-J-MATH,
  volume =       "55",
  number =       "??",
  pages =        "636--648",
  month =        "????",
  year =         "2003",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2003-026-0",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v55/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Given a $p$-dimensional oriented foliation of an
                 $n$-dimensional compact manifold $M$^n$$ and a
                 transversal invariant measure $tau$, Sullivan has
                 defined an element of $H$_p$$ ( $M$^n$,R$). This
                 generalized the notion of a $mu$-asymptotic cycle,
                 which was originally defined for actions of the real
                 line on compact spaces preserving an invariant measure
                 $mu$. In this one-dimensional case there was a natural
                 1-1 correspondence between transversal invariant
                 measures $tau$ and invariant measures $mu$ when one had
                 a smooth flow without stationary points. For what we
                 call an oriented action of a connected Lie group on a
                 compact manifold we again get in this paper such a
                 correspondence, provided we have what we call a
                 positive quantifier. (In the one-dimensional case such
                 a quantifier is provided by the vector field defining
                 the flow.) Sufficient conditions for the existence of
                 such a quantifier are given, together with some
                 applications.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Zucconi:2003:SIP,
  author =       "Francesco Zucconi",
  title =        "Surfaces with $p_{g} = q = 2$ and an Irrational
                 Pencil",
  journal =      j-CAN-J-MATH,
  volume =       "55",
  number =       "??",
  pages =        "649--672",
  month =        "????",
  year =         "2003",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2003-027-8",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v55/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We describe the irrational pencils on surfaces of
                 general type with $p$_g$ =q=$ 2.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Anderson:2003:NCE,
  author =       "Greg W. Anderson and Yi Ouyang",
  title =        "A Note on Cyclotomic {Euler} Systems and the Double
                 Complex Method",
  journal =      j-CAN-J-MATH,
  volume =       "55",
  number =       "??",
  pages =        "673--692",
  month =        "????",
  year =         "2003",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2003-028-5",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v55/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let {\bf F} be a finite real abelian extension of {\bf
                 Q}. Let M be an odd positive integer. For every
                 squarefree positive integer r the prime factors of
                 which are congruent to 1 modulo M and split completely
                 in {\bf F}, the corresponding Kolyvagin class kappa$_r$
                 \in {\bf F}$^x$ / {\bf F}$^{x M}$ satisfies a
                 remarkable and crucial recursion which for each prime
                 number ell dividing r determines the order of vanishing
                 of kappa$_r$ at each place of {\bf F} above ell in
                 terms of kappa$_{r / ell}$. In this note we give the
                 recursion a new and universal interpretation with the
                 help of the double complex method introduced by
                 Anderson and further developed by Das and Ouyang.
                 Namely, we show that the recursion satisfied by
                 Kolyvagin classes is the specialization of a universal
                 recursion independent of {\bf F} satisfied by universal
                 Kolyvagin classes in the group cohomology of the
                 universal ordinary distribution ${\`a} la$ Kubert
                 tensored with {\bf Z} /M {\bf Z}. Further, we show by a
                 method involving a variant of the diagonal shift
                 operation introduced by Das that certain group
                 cohomology classes belonging (up to sign) to a basis
                 previously constructed by Ouyang also satisfy the
                 universal recursion.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Borne:2003:FRR,
  author =       "Niels Borne",
  title =        "Une formule de {Riemann--Roch} {\'e}quivariante pour
                 les courbes. ({French}) [{A} formula of {Riemann--Roch}
                 for equivariant curves]",
  journal =      j-CAN-J-MATH,
  volume =       "55",
  number =       "??",
  pages =        "693--710",
  month =        "????",
  year =         "2003",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2003-029-2",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v55/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Soit G un groupe fini agissant sur une courbe
                 alg{\'e}brique projective et lisse X sur un corps
                 alg{\'e}briquement clos k. Dans cet article, on donne
                 une formule de Riemann--Roch pour la
                 caract{\'e}ristique d'Euler {\'e}quivariante d'un
                 G-faisceau inversible $\mathcal{L}$, {\`a} valeurs dans
                 l'anneau $R_k (G)$ des caract{\`e}res du groupe G. La
                 formule donn{\'e}e a un bon comportement fonctoriel en
                 ce sens qu'elle rel{\`e}ve la formule classique le long
                 du morphisme $\dim \colon R_k (G) \to \mathbb{Z}$, et
                 est valable m{\^e}me pour une action sauvage. En guise
                 d'application, on montre comment calculer explicitement
                 le caract{\`e}re de l'espace des sections globales
                 d'une large classe de G-faisceaux inversibles, en
                 s'attardant sur le cas particulier d{\'e}licat du
                 faisceau des diff{\`e}rentielles sur la courbe.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
  language =     "French",
}

@Article{Broughan:2003:ATR,
  author =       "Kevin A. Broughan",
  title =        "Adic Topologies for the Rational Integers",
  journal =      j-CAN-J-MATH,
  volume =       "55",
  number =       "??",
  pages =        "711--723",
  month =        "????",
  year =         "2003",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2003-030-3",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v55/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "A topology on \mathbb{Z}, which gives a nice proof
                 that the set of prime integers is infinite, is
                 characterised and examined. It is found to be
                 homeomorphic to \mathbb{Q}, with a compact completion
                 homeomorphic to the Cantor set. It has a natural place
                 in a family of topologies on \mathbb{Z}, which includes
                 the p-adics, and one in which the set of rational
                 primes \mathbb{P} is dense. Examples from number theory
                 are given, including the primes and squares, Fermat
                 numbers, Fibonacci numbers and k-free numbers.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Cao:2003:SLP,
  author =       "Xifang Cao and Qingkai Kong and Hongyou Wu and Anton
                 Zettl",
  title =        "{Sturm--Liouville} Problems Whose Leading Coefficient
                 Function Changes Sign",
  journal =      j-CAN-J-MATH,
  volume =       "55",
  number =       "??",
  pages =        "724--749",
  month =        "????",
  year =         "2003",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2003-031-0",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v55/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "For a given Sturm--Liouville equation whose leading
                 coefficient function changes sign, we establish
                 inequalities among the eigenvalues for any coupled
                 self-adjoint boundary condition and those for two
                 corresponding separated self-adjoint boundary
                 conditions. By a recent result of Binding and Volkmer,
                 the eigenvalues (unbounded from both below and above)
                 for a separated self-adjoint boundary condition can be
                 numbered in terms of the Pr{\"u}fer angle; and our
                 inequalities can then be used to index the eigenvalues
                 for any coupled self-adjoint boundary condition. Under
                 this indexing scheme, we determine the discontinuities
                 of each eigenvalue as a function on the space of such
                 Sturm--Liouville problems, and its range as a function
                 on the space of self-adjoint boundary conditions. We
                 also relate this indexing scheme to the number of zeros
                 of eigenfunctions. In addition, we characterize the
                 discontinuities of each eigenvalue under a different
                 indexing scheme.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Gobel:2003:AFR,
  author =       "R{\"u}diger G{\"o}bel and Saharon Shelah and Lutz
                 Str{\"u}ngmann",
  title =        "Almost-Free {$E$}-Rings of Cardinality $\aleph_1$",
  journal =      j-CAN-J-MATH,
  volume =       "55",
  number =       "??",
  pages =        "750--765",
  month =        "????",
  year =         "2003",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2003-032-8",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v55/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "An E-ring is a unital ring R such that every
                 endomorphism of the underlying abelian group R$^+$ is
                 multiplication by some ring element. The existence of
                 almost-free E-rings of cardinality greater than
                 2$^{aleph 0}$ is undecidable in \ZFC. While they exist
                 in Gi{\"o}del's universe, they do not exist in other
                 models of set theory. For a regular cardinal aleph$_1$
                 \leq \lambda \leq 2$^{aleph 0}$ we construct E-rings of
                 cardinality \lambda in \ZFC which have aleph$_1$-free
                 additive structure. For lambda = aleph$_1$ we therefore
                 obtain the existence of almost-free E-rings of
                 cardinality aleph$_1$ in ZFC.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Kerler:2003:HTA,
  author =       "Thomas Kerler",
  title =        "Homology {TQFT}'s and the {Alexander--Reidemeister}
                 Invariant of 3-Manifolds via {Hopf} Algebras and Skein
                 Theory",
  journal =      j-CAN-J-MATH,
  volume =       "55",
  number =       "??",
  pages =        "766--821",
  month =        "????",
  year =         "2003",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2003-033-5",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v55/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We develop an explicit skein-theoretical algorithm to
                 compute the Alexander polynomial of a 3-manifold from a
                 surgery presentation employing the methods used in the
                 construction of quantum invariants of 3-manifolds. As a
                 prerequisite we establish and prove a rather unexpected
                 equivalence between the topological quantum field
                 theory constructed by Frohman and Nicas using the
                 homology of U(1)-representation varieties on the one
                 side and the combinatorially constructed Hennings TQFT
                 based on the quasitriangular Hopf algebra mathcal{N} =
                 \mathbb{Z}/2 \ltimes \bigwedge$^*$ \mathbb{R}$^2$ on
                 the other side. We find that both TQFT's are \SL (2,
                 \mathbb{R})-equivariant functors and, as such, are
                 isomorphic. The \SL (2, \mathbb{R})-action in the
                 Hennings construction comes from the natural action on
                 \mathcal{N} and in the case of the Frohman-Nicas theory
                 from the Hard-Lefschetz decomposition of the
                 U(1)-moduli spaces given that they are naturally
                 K{\"a}hler. The irreducible components of this TQFT,
                 corresponding to simple representations of \SL(2,
                 \mathbb{Z}) and \Sp(2g, \mathbb{Z}), thus yield a large
                 family of homological TQFT's by taking sums and
                 products. We give several examples of TQFT's and
                 invariants that appear to fit into this family, such as
                 Milnor and Reidemeister Torsion, Seiberg--Witten
                 theories, Casson type theories for homology circles
                 ${\`a} la$ Donaldson, higher rank gauge theories
                 following Frohman and Nicas, and the
                 \mathbb{Z}/p\mathbb{Z} reductions of Reshetikhin-Turaev
                 theories over the cyclotomic integers \mathbb{Z}
                 [\zeta$_p$ ]. We also conjecture that the Hennings TQFT
                 for quantum-\mathfrak{sl}$_2$ is the product of the
                 Reshetikhin-Turaev TQFT and such a homological TQFT.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Kim:2003:OGP,
  author =       "Djun Maximilian Kim and Dale Rolfsen",
  title =        "An Ordering for Groups of Pure Braids and Fibre-Type
                 Hyperplane Arrangements",
  journal =      j-CAN-J-MATH,
  volume =       "55",
  number =       "??",
  pages =        "822--838",
  month =        "????",
  year =         "2003",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2003-034-2",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v55/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We define a total ordering of the pure braid groups
                 which is invariant under multiplication on both sides.
                 This ordering is natural in several respects. Moreover,
                 it well-orders the pure braids which are positive in
                 the sense of Garside. The ordering is defined using a
                 combination of Artin's combing technique and the Magnus
                 expansion of free groups, and is explicit and
                 algorithmic. By contrast, the full braid groups (on 3
                 or more strings) can be ordered in such a way as to be
                 invariant on one side or the other, but not both
                 simultaneously. Finally, we remark that the same type
                 of ordering can be applied to the fundamental groups of
                 certain complex hyperplane arrangements, a direct
                 generalization of the pure braid groups.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Lee:2003:CCT,
  author =       "Min Ho Lee",
  title =        "Cohomology of Complex Torus Bundles Associated to
                 Cocycles",
  journal =      j-CAN-J-MATH,
  volume =       "55",
  number =       "??",
  pages =        "839--855",
  month =        "????",
  year =         "2003",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2003-035-x",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v55/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Equivariant holomorphic maps of Hermitian symmetric
                 domains into Siegel upper half spaces can be used to
                 construct families of abelian varieties parametrized by
                 locally symmetric spaces, which can be regarded as
                 complex torus bundles over the parameter spaces. We
                 extend the construction of such torus bundles using
                 2-cocycles of discrete subgroups of the semisimple Lie
                 groups associated to the given symmetric domains and
                 investigate some of their properties. In particular, we
                 determine their cohomology along the fibers.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Su:2003:PBS,
  author =       "Yucai Su",
  title =        "{Poisson} Brackets and Structure of Nongraded
                 {Hamiltonian} {Lie} Algebras Related to Locally-Finite
                 Derivations",
  journal =      j-CAN-J-MATH,
  volume =       "55",
  number =       "??",
  pages =        "856--896",
  month =        "????",
  year =         "2003",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2003-036-7",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v55/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Xu introduced a class of nongraded Hamiltonian Lie
                 algebras. These Lie algebras have a Poisson bracket
                 structure. In this paper, the isomorphism classes of
                 these Lie algebras are determined by employing a
                 ``sandwich'' method and by studying some features of
                 these Lie algebras. It is obtained that two Hamiltonian
                 Lie algebras are isomorphic if and only if their
                 corresponding Poisson algebras are isomorphic.
                 Furthermore, the derivation algebras and the second
                 cohomology groups are determined.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Archinard:2003:HAV,
  author =       "Nat{\'a}lia Archinard",
  title =        "Hypergeometric {Abelian} Varieties",
  journal =      j-CAN-J-MATH,
  volume =       "55",
  number =       "??",
  pages =        "897--932",
  month =        "????",
  year =         "2003",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2003-037-4",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v55/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "In this paper, we construct abelian varieties
                 associated to Gauss' and Appell-Lauricella
                 hypergeometric series. Abelian varieties of this kind
                 and the algebraic curves we define to construct them
                 were considered by several authors in settings ranging
                 from monodromy groups (Deligne, Mostow), exceptional
                 sets (Cohen, Wolfart, W{\"u}stholz), modular embeddings
                 (Cohen, Wolfart) to CM-type (Cohen, Shiga, Wolfart) and
                 modularity (Darmon). Our contribution is to provide a
                 complete, explicit and self-contained geometric
                 construction.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Beineke:2003:RP,
  author =       "Jennifer Beineke and Daniel Bump",
  title =        "Renormalized Periods on {$\GL(3)$}",
  journal =      j-CAN-J-MATH,
  volume =       "55",
  number =       "??",
  pages =        "933--968",
  month =        "????",
  year =         "2003",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2003-038-1",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v55/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "A theory of renormalization of divergent integrals
                 over torus periods on GL(3) is given, based on a
                 relative truncation. It is shown that the renormalized
                 periods of Eisenstein series have unexpected functional
                 equations.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Glockner:2003:LGM,
  author =       "Helge Gl{\"o}ckner",
  title =        "{Lie} Groups of Measurable Mappings",
  journal =      j-CAN-J-MATH,
  volume =       "55",
  number =       "??",
  pages =        "969--999",
  month =        "????",
  year =         "2003",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2003-039-9",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v55/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We describe new construction principles for
                 infinite-dimensional Lie groups. In particular, given
                 any measure space (X, \Sigma, \mu) and (possibly
                 infinite-dimensional) Lie group G, we construct a Lie
                 group L$^{\infty}$ (X,G), which is a Fr{\'e}chet-Lie
                 group if G is so. We also show that the weak direct
                 product \prod$^*_{i\in I}$ G$_i$ of an arbitrary family
                 (G$_i$)$_{i\in I}$ of Lie groups can be made a Lie
                 group, modelled on the locally convex direct sum
                 \bigoplus$_{i\in I}$ L(G$_i$).",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Graczyk:2003:SCR,
  author =       "P. Graczyk and P. Sawyer",
  title =        "Some Convexity Results for the {Cartan}
                 Decomposition",
  journal =      j-CAN-J-MATH,
  volume =       "55",
  number =       "??",
  pages =        "1000--1018",
  month =        "????",
  year =         "2003",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2003-040-x",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v55/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "In this paper, we consider the set \mathcal{S} =
                 a(e$^X$ K e$^Y$) where a(g) is the abelian part in the
                 Cartan decomposition of g. This is exactly the support
                 of the measure intervening in the product formula for
                 the spherical functions on symmetric spaces of
                 noncompact type. We give a simple description of that
                 support in the case of SL(3, {\bf F}) where {\bf F} =
                 {\bf R}, {\bf C} or {\bf H}. In particular, we show
                 that \mathcal{S} is convex. We also give an application
                 of our result to the description of singular values of
                 a product of two arbitrary matrices with prescribed
                 singular values.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Handelman:2003:MEP,
  author =       "David Handelman",
  title =        "More Eventual Positivity for Analytic Functions",
  journal =      j-CAN-J-MATH,
  volume =       "55",
  number =       "??",
  pages =        "1019--1079",
  month =        "????",
  year =         "2003",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2003-041-7",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v55/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Eventual positivity problems for real convergent
                 Maclaurin series lead to density questions for sets of
                 harmonic functions. These are solved for large classes
                 of series, and in so doing, asymptotic estimates are
                 obtained for the values of the series near the radius
                 of convergence and for the coefficients of convolution
                 powers.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Kellerhals:2003:QSG,
  author =       "Ruth Kellerhals",
  title =        "Quaternions and Some Global Properties of Hyperbolic
                 $5$-Manifolds",
  journal =      j-CAN-J-MATH,
  volume =       "55",
  number =       "??",
  pages =        "1080--1099",
  month =        "????",
  year =         "2003",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2003-042-4",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v55/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We provide an explicit thick and thin decomposition
                 for oriented hyperbolic manifolds M of dimension 5. The
                 result implies improved universal lower bounds for the
                 volume vol$_5$ (M) and, for M compact, new estimates
                 relating the injectivity radius and the diameter of M
                 with vol$_5$ (M). The quantification of the thin part
                 is based upon the identification of the isometry group
                 of the universal space by the matrix group
                 PS$_{\Delta}$ L (2, \mathbb{H}) of quaternionic 2 x
                 2-matrices with Dieudonn{\'e} determinant \Delta equal
                 to 1 and isolation properties of PS$_{\Delta}$ L (2,
                 \mathbb{H}).",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Khesin:2003:PH,
  author =       "Boris Khesin and Alexei Rosly",
  title =        "Polar Homology",
  journal =      j-CAN-J-MATH,
  volume =       "55",
  number =       "??",
  pages =        "1100--1120",
  month =        "????",
  year =         "2003",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2003-043-1",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v55/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "For complex projective manifolds we introduce polar
                 homology groups, which are holomorphic analogues of the
                 homology groups in topology. The polar k-chains are
                 subvarieties of complex dimension k with meromorphic
                 forms on them, while the boundary operator is defined
                 by taking the polar divisor and the Poincar{\'e}
                 residue on it. One can also define the corresponding
                 analogues for the intersection and linking numbers of
                 complex submanifolds, which have the properties similar
                 to those of the corresponding topological notions.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Bettaieb:2003:CRT,
  author =       "Karem Betta{\"\i}eb",
  title =        "Classification des repr{\'e}sentations
                 temp{\'e}r{\'e}es d'un groupe $p$-adique. ({French})
                 [{Classification} of representations of a temperate
                 $p$-adic group]",
  journal =      j-CAN-J-MATH,
  volume =       "55",
  number =       "??",
  pages =        "1121--1133",
  month =        "????",
  year =         "2003",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2003-044-9",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v55/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Soit $G$ le groupe des points d{\'e}finis sur un corps
                 $p$-adique d'un groupe r{\'e}ductif connexe. A l'aide
                 des caract{\`e}res virtuels supertemp{\'e}r{\'e}s de
                 $G$, on prouve (conjectures de Clozel) que toute
                 repr{\'e}sentation irr{\'e}ductible temp{\'e}r{\'e}e de
                 $G$ est irr{\'e}ductiblement induite d'une essentielle
                 d'un sous-groupe de L{\'e}vi de~ $G$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
  language =     "French",
}

@Article{Casarino:2003:NCH,
  author =       "Valentina Casarino",
  title =        "Norms of Complex Harmonic Projection Operators",
  journal =      j-CAN-J-MATH,
  volume =       "55",
  number =       "??",
  pages =        "1134--1154",
  month =        "????",
  year =         "2003",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2003-045-6",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v55/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "In this paper we estimate the $(L^p-L$^2$)$-norm of
                 the complex harmonic projectors $\pi_{\ell\ell'}$, $1le
                 ple 2$, uniformly with respect to the indexes $\ell,
                 \ell'$. We provide sharp estimates both for the
                 projectors $\pi_{\ell\ell'}$, when $\ell, \ell'$ belong
                 to a proper angular sector in $\mathbb{N} \times
                 \mathbb{N}$, and for the projectors $\pi_{\ell 0}$ and
                 $\pi_{0 \ell}$. The proof is based on an extension of a
                 complex interpolation argument by C.~Sogge. In the
                 appendix, we prove in a direct way the uniform
                 boundedness of a particular zonal kernel in the $L$^1$
                 $ norm on the unit sphere of $\mathbb{R}^{2n}$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Dokovic:2003:CON,
  author =       "Dragomir {\v{Z}}. {\Dbar}okovi{\'c} and Michael
                 Litvinov",
  title =        "The Closure Ordering of Nilpotent Orbits of the
                 Complex Symmetric Pair {$(\SO_{p + q}, \SO_p \times
                 \SO_q)$}",
  journal =      j-CAN-J-MATH,
  volume =       "55",
  number =       "??",
  pages =        "1155--1190",
  month =        "????",
  year =         "2003",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2003-046-3",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v55/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "The main problem that is solved in this paper has the
                 following simple formulation (which is not used in its
                 solution). The group $K = \mathrm{O}$_p$ ({\bf C})
                 \times \mathrm{O}$_q$ ({\bf C})$ acts on the space
                 $M_{p,q}$ of $p\times q$ complex matrices by $(a,b)
                 \cdot x = axb^{-1}$, and so does its identity component
                 $K$^0$ = \SO$_p$ ({\bf C}) \times \SO$_q$ ({\bf C})$. A
                 $K$-orbit (or $K$^0$ $-orbit) in $M_{p,q}$ is said to
                 be nilpotent if its closure contains the zero matrix.
                 The closure, $\overline{\mathcal{O}}$, of a nilpotent
                 $K$-orbit (resp.\ $K$^0$ $-orbit) ${\mathcal{O}}$ in
                 $M_{p,q}$ is a union of ${\mathcal{O}}$ and some
                 nilpotent $K$-orbits (resp.\ $K$^0$ $-orbits) of
                 smaller dimensions. The description of the closure of
                 nilpotent $K$-orbits has been known for some time, but
                 not so for the nilpotent $K$^0$ $-orbits. A conjecture
                 describing the closure of nilpotent $K$^0$ $-orbits was
                 proposed in \cite{DLS} and verified when $\min(p,q) le
                 7$. In this paper we prove the conjecture. The proof is
                 based on a study of two prehomogeneous vector spaces
                 attached to $\mathcal{O}$ and determination of the
                 basic relative invariants of these spaces. The above
                 problem is equivalent to the problem of describing the
                 closure of nilpotent orbits in the real Lie algebra
                 $\mathfrak{so} (p,q)$ under the adjoint action of the
                 identity component of the real orthogonal group
                 $\mathrm{O}(p,q)$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Granville:2003:DMV,
  author =       "Andrew Granville and K. Soundararajan",
  title =        "Decay of Mean Values of Multiplicative Functions",
  journal =      j-CAN-J-MATH,
  volume =       "55",
  number =       "??",
  pages =        "1191--1230",
  month =        "????",
  year =         "2003",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2003-047-0",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v55/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "For given multiplicative function $f$, with $|f(n)|
                 \leq 1$ for all $n$, we are interested in how fast its
                 mean value $(1/x) \sum_{n \leq x} f(n)$ converges.
                 Hal{\'a}sz showed that this depends on the minimum $M$
                 (over $y\in \mathbb{R}$) of $\sum_{p \leq x} \bigl( 1 -
                 \Re (f(p) p^{-iy}) \bigr) / p$, and subsequent authors
                 gave the upper bound $ll (1+M) e^{-M}$. For many
                 applications it is necessary to have explicit constants
                 in this and various related bounds, and we provide
                 these via our own variant of the Hal{\'a}sz-Montgomery
                 lemma (in fact the constant we give is best possible up
                 to a factor of 10). We also develop a new type of
                 hybrid bound in terms of the location of the absolute
                 value of $y$ that minimizes the sum above. As one
                 application we give bounds for the least
                 representatives of the cosets of the $k$-th powers mod~
                 $p$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Havin:2003:AMMa,
  author =       "Victor Havin and Javad Mashreghi",
  title =        "Admissible Majorants for Model Subspaces of {$H^2$},
                 Part {I}: Slow Winding of the Generating Inner
                 Function",
  journal =      j-CAN-J-MATH,
  volume =       "55",
  number =       "??",
  pages =        "1231--1263",
  month =        "????",
  year =         "2003",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2003-048-8",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v55/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "A model subspace $K_\Theta$ of the Hardy space $H$^2$
                 = H$^2$ (\mathbb{C} _+)$ for the upper half plane
                 $\mathbb{C} _+$ is $H$^2$ (\mathbb{C} _+) \ominus
                 \Theta H$^2$ (\mathbb{C} _+)$ where $\Theta$ is an
                 inner function in $\mathbb{C} _+$. A function $\omega
                 \colon \mathbb{R}\mapsto[0, \infty)$ is called {\em an
                 admissible majorant\/} for $K_\Theta$ if there exists
                 an $f \in K_\Theta$, $f \not\equiv 0$, $|f(x)| \leq
                 \omega(x)$ almost everywhere on $\mathbb{R}$. For some
                 (mainly meromorphic) $\Theta$'s some parts of
                 $\Adm\Theta$ (the set of all admissible majorants for
                 $K_\Theta$) are explicitly described. These
                 descriptions depend on the rate of growth of $\arg
                 \Theta$ along $\mathbb{R}$. This paper is about slowly
                 growing arguments (slower than $x$). Our results
                 exhibit the dependence of $\Adm B$ on the geometry of
                 the zeros of the Blaschke product $B$. A complete
                 description of $\Adm B$ is obtained for $B$ 's with
                 purely imaginary ``vertical'') zeros. We show that in
                 this case a unique minimal admissible majorant
                 exists.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Havin:2003:AMMb,
  author =       "Victor Havin and Javad Mashreghi",
  title =        "Admissible Majorants for Model Subspaces of {$H^2$},
                 Part {II}: Fast Winding of the Generating Inner
                 Function",
  journal =      j-CAN-J-MATH,
  volume =       "55",
  number =       "??",
  pages =        "1264--1301",
  month =        "????",
  year =         "2003",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2003-049-5",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v55/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "This paper is a continuation of \cite{HM02I}. We
                 consider the model subspaces $K_\Theta=H$^2$
                 \ominus\Theta H$^2$ $ of the Hardy space $H$^2$ $
                 generated by an inner function $\Theta$ in the upper
                 half plane. Our main object is the class of admissible
                 majorants for $K_\Theta$, denoted by $\Adm \Theta$ and
                 consisting of all functions $\omega$ defined on
                 $\mathbb{R}$ such that there exists an $f \ne 0$, $f
                 \in K_\Theta$ satisfying $|f(x)| \leq \omega(x)$ almost
                 everywhere on $\mathbb{R}$. Firstly, using some simple
                 Hilbert transform techniques, we obtain a general
                 multiplier theorem applicable to any $K_\Theta$
                 generated by a meromorphic inner function. In contrast
                 with \cite{HM02I}, we consider the generating functions
                 $\Theta$ such that the unit vector $\Theta(x)$ winds up
                 fast as $x$ grows from $-\infty$ to $\infty$. In
                 particular, we consider $\Theta=B$ where $B$ is a
                 Blaschke product with {``horizontal''} zeros, {\em
                 i.e.}, almost uniformly distributed in a strip parallel
                 to and separated from $\mathbb{R}$. It is shown, among
                 other things, that for any such $B$, any even $\omega$
                 decreasing on $(0, \infty)$ with a finite logarithmic
                 integral is in $\Adm B$ (unlike the {``vertical''} case
                 treated in \cite{HM02I}), thus generalizing (with a new
                 proof) a classical result related to $\Adm\exp(i\sigma
                 z)$, $\sigma > 0$. Some oscillating $\omega$'s in $\Adm
                 B$ are also described. Our theme is related to the
                 Beurling-Malliavin multiplier theorem devoted to
                 $\Adm\exp(i\sigma z)$, $\sigma > 0$, and to de~Branges'
                 space $\mathcal{H}(E)$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Katsura:2003:ISC,
  author =       "Takeshi Katsura",
  title =        "The Ideal Structures of Crossed Products of {Cuntz}
                 Algebras by Quasi-Free Actions of {Abelian} Groups",
  journal =      j-CAN-J-MATH,
  volume =       "55",
  number =       "??",
  pages =        "1302--1338",
  month =        "????",
  year =         "2003",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2003-050-6",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v55/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We completely determine the ideal structures of the
                 crossed products of Cuntz algebras by quasi-free
                 actions of abelian groups and give another proof of
                 A.~Kishimoto's result on the simplicity of such crossed
                 products. We also give a necessary and sufficient
                 condition that our algebras become primitive, and
                 compute the Connes spectra and $K$-groups of our
                 algebras.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Anonymous:2003:AII,
  author =       "Anonymous",
  title =        "Author Index - Index des auteurs --- for 2003 - pour
                 2003",
  journal =      j-CAN-J-MATH,
  volume =       "55",
  number =       "6",
  pages =        "1339--1342",
  month =        dec,
  year =         "2003",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2003-051-3",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v55/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Amini:2004:LCP,
  author =       "Massoud Amini",
  title =        "Locally Compact Pro-{$C^*$}-Algebras",
  journal =      j-CAN-J-MATH,
  volume =       "56",
  number =       "??",
  pages =        "3--22",
  month =        "????",
  year =         "2004",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2004-001-6",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v56/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $X$ be a locally compact non-compact Hausdorff
                 topological space. Consider the algebras $C(X), C$_b$
                 (X), C$_0$ (X)$, and $C$_{00}$ (X)$ of respectively
                 arbitrary, bounded, vanishing at infinity, and
                 compactly supported continuous functions on $X$. Of
                 these, the second and third are $C$^*$$-algebras, the
                 fourth is a normed algebra, whereas the first is only a
                 topological algebra (it is indeed a
                 pro-$C$^*$$-algebra). The interesting fact about these
                 algebras is that if one of them is given, the others
                 can be obtained using functional analysis tools. For
                 instance, given the $C$^*$$-algebra $C$_0$ (X)$, one
                 can get the other three algebras by $C$_{00}$
                 (X)=K(C$_0$ (X)), C$_b$ (X)=M(C$_0$ (X)), C(X)=
                 \Gamma(K(C$_0$ (X)))$, where the right hand sides are
                 the Pedersen ideal, the multiplier algebra, and the
                 unbounded multiplier algebra of the Pedersen ideal of
                 $C$_0$ (X)$, respectively. In this article we consider
                 the possibility of these transitions for general
                 $C$^*$$-algebras. The difficult part is to start with a
                 pro- $C$^*$$-algebra $A$ and to construct a
                 $C$^*$$-algebra $A$_0$$ such that $A = \Gamma
                 (K(A$_0$))$. The pro- $C$^*$$-algebras for which this
                 is possible are called $locally compact$ and we have
                 characterized them using a concept similar to that of
                 an approximate identity.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Bennett:2004:TDE,
  author =       "Michael A. Bennett and Chris M. Skinner",
  title =        "Ternary {Diophantine} Equations via {Galois}
                 Representations and Modular Forms",
  journal =      j-CAN-J-MATH,
  volume =       "56",
  number =       "??",
  pages =        "23--54",
  month =        "????",
  year =         "2004",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2004-002-2",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v56/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "In this paper, we develop techniques for solving
                 ternary Diophantine equations of the shape $Ax$^n$ +
                 By$^n$ = Cz$^2$$, based upon the theory of Galois
                 representations and modular forms. We subsequently
                 utilize these methods to completely solve such
                 equations for various choices of the parameters $A$,
                 $B$ and $C$. We conclude with an application of our
                 results to certain classical polynomial-exponential
                 equations, such as those of Ramanujan--Nagell type.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Harper:2004:E,
  author =       "Malcolm Harper",
  title =        "{{$\mathbb{Z}[\sqrt{14}]$}} is {Euclidean}",
  journal =      j-CAN-J-MATH,
  volume =       "56",
  number =       "??",
  pages =        "55--70",
  month =        "????",
  year =         "2004",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2004-003-9",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v56/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We provide the first unconditional proof that the ring
                 $\mathbb{Z} [\sqrt{14}]$ is a Euclidean domain. The
                 proof is generalized to other real quadratic fields and
                 to cyclotomic extensions of $\mathbb{Q}$. It is proved
                 that if $K$ is a real quadratic field (modulo the
                 existence of two special primes of $K$) or if $K$ is a
                 cyclotomic extension of $\mathbb{Q}$ then: the ring of
                 integers of $K$ is a Euclidean domain if and only if it
                 is a principal ideal domain. The proof is a
                 modification of the proof of a theorem of Clark and
                 Murty giving a similar result when $K$ is a totally
                 real extension of degree at least three. The main
                 changes are a new Motzkin-type lemma and the addition
                 of the large sieve to the argument. These changes allow
                 application of a powerful theorem due to Bombieri,
                 Friedlander and Iwaniec in order to obtain the result
                 in the real quadratic case. The modification also
                 allows the completion of the classification of
                 cyclotomic extensions in terms of the Euclidean
                 property.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Harper:2004:ERA,
  author =       "Malcolm Harper and M. Ram Murty",
  title =        "{Euclidean} Rings of Algebraic Integers",
  journal =      j-CAN-J-MATH,
  volume =       "56",
  number =       "??",
  pages =        "71--76",
  month =        "????",
  year =         "2004",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2004-004-5",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v56/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $K$ be a finite Galois extension of the field of
                 rational numbers with unit rank greater than 3. We
                 prove that the ring of integers of $K$ is a Euclidean
                 domain if and only if it is a principal ideal domain.
                 This was previously known under the assumption of the
                 generalized Riemann hypothesis for Dedekind zeta
                 functions. We now prove this unconditionally.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Holmes:2004:HDG,
  author =       "Mark Holmes and Antal A. J{\'a}rai and Akira Sakai and
                 Gordon Slade",
  title =        "High-Dimensional Graphical Networks of Self-Avoiding
                 Walks",
  journal =      j-CAN-J-MATH,
  volume =       "56",
  number =       "??",
  pages =        "77--114",
  month =        "????",
  year =         "2004",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2004-005-1",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v56/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We use the lace expansion to analyse networks of
                 mutually-avoiding self-avoiding walks, having the
                 topology of a graph. The networks are defined in terms
                 of spread-out self-avoiding walks that are permitted to
                 take large steps. We study the asymptotic behaviour of
                 networks in the limit of widely separated network
                 branch points, and prove Gaussian behaviour for
                 sufficiently spread-out networks on $\mathbb{Z}$^d$$ in
                 dimensions $d > 4$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Kenny:2004:EHD,
  author =       "Robert Kenny",
  title =        "Estimates of {Hausdorff} Dimension for the
                 Non-Wandering Set of an Open Planar Billiard",
  journal =      j-CAN-J-MATH,
  volume =       "56",
  number =       "??",
  pages =        "115--133",
  month =        "????",
  year =         "2004",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2004-006-8",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v56/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "The billiard flow in the plane has a simple geometric
                 definition; the movement along straight lines of points
                 except where elastic reflections are made with the
                 boundary of the billiard domain. We consider a class of
                 open billiards, where the billiard domain is unbounded,
                 and the boundary is that of a finite number of strictly
                 convex obstacles. We estimate the Hausdorff dimension
                 of the nonwandering set $M$_0$$ of the discrete time
                 billiard ball map, which is known to be a Cantor set
                 and the largest invariant set. Under certain conditions
                 on the obstacles, we use a well-known coding of $M$_0$$
                 and estimates using convex fronts related to the
                 derivative of the billiard ball map to estimate the
                 Hausdorff dimension of local unstable sets.
                 Consideration of the local product structure then
                 yields the desired estimates, which provide asymptotic
                 bounds on the Hausdorff dimension's convergence to zero
                 as the obstacles are separated.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Li:2004:LOM,
  author =       "Chi-Kwong Li and Ahmed Ramzi Sourour",
  title =        "Linear Operators on Matrix Algebras that Preserve the
                 Numerical Range, Numerical Radius or the States",
  journal =      j-CAN-J-MATH,
  volume =       "56",
  number =       "??",
  pages =        "134--167",
  month =        "????",
  year =         "2004",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2004-007-4",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v56/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Every norm nu on {\bf C}$^n$ induces two norm
                 numerical ranges on the algebra $M$_n$$ of all $n x n$
                 complex matrices, the spatial numerical range W(A)=
                 {x$^*$ Ay : x, y : {\bf C}$^n$, nu$^D$ (x) = nu(y) =
                 x$^*$ y = 1}, where $nu$^D$$ is the norm dual to $nu$,
                 and the algebra numerical range $V(A) = {f(A) : f :
                 mathcal{S}},$ where $mathcal{S}$ is the set of states
                 on the normed algebra $M$_n$$ under the operator norm
                 induced by $nu$. For a symmetric norm $nu$, we identify
                 all linear maps on $M$_n$$ that preserve either one of
                 the two norm numerical ranges or the set of states or
                 vector states. We also identify the numerical radius
                 isometries, $i.e.$, linear maps that preserve the (one)
                 numerical radius induced by either numerical range. In
                 particular, it is shown that if $nu$ is not the
                 $ell$_1$, ell$_2$$, or $ell$^\infty$$ norms, then the
                 linear maps that preserve either numerical range or
                 either set of states are {``inner''}, $i.e.$, of the
                 form $A mapsto Q$^*$ AQ$, where $Q$ is a product of a
                 diagonal unitary matrix and a permutation matrix and
                 the numerical radius isometries are unimodular scalar
                 multiples of such inner maps. For the $ell$_1$$ and the
                 $ell$^\infty$$ norms, the results are quite
                 different.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Pogge:2004:CRS,
  author =       "James Todd Pogge",
  title =        "On a Certain Residual Spectrum of {$\Sp_8$}",
  journal =      j-CAN-J-MATH,
  volume =       "56",
  number =       "??",
  pages =        "168--193",
  month =        "????",
  year =         "2004",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2004-008-0",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v56/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let G= {\bf Sp}$_{2n}$ be the symplectic group defined
                 over a number field $F$. Let $\mathbb{A}$ be the ring
                 of adeles. A fundamental problem in the theory of
                 automorphic forms is to decompose the right regular
                 representation of $G(\mathbb{A})$ acting on the Hilbert
                 space $L$^2$ (G(F)setminus G(\mathbb{A}))$. Main
                 contributions have been made by Langlands. He
                 described, using his theory of Eisenstein series, an
                 orthogonal decomposition of this space of the form:
                 $L$_{dis}^2$ (G(F)setminus G(\mathbb{A})) =
                 bigoplus$_{(M,pi)}$ L$_{dis}^2$ (G(F) setminus
                 G(\mathbb{A}))$_{(M,pi)}$$, where $(M,pi)$ is a Levi
                 subgroup with a cuspidal automorphic representation pi
                 taken modulo conjugacy (Here we normalize $pi$ so that
                 the action of the maximal split torus in the center of
                 $G$ at the archimedean places is trivial.) and
                 $L$_{dis}^2$ (G(F) setminus G(\mathbb{A}))$_{(M,pi)}$$
                 is a space of residues of Eisenstein series associated
                 to $(M,pi)$. In this paper, we will completely
                 determine the space $L$_{dis}^2$ (G(F) setminus
                 G(\mathbb{A}))$_{(M,pi)}$$, when $M simeq GL$_2$ x
                 GL$_2$$. This is the first result on the residual
                 spectrum for non-maximal, non-Borel parabolic
                 subgroups, other than $GL$_n$$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Saikia:2004:SGE,
  author =       "A. Saikia",
  title =        "{Selmer} Groups of Elliptic Curves with Complex
                 Multiplication",
  journal =      j-CAN-J-MATH,
  volume =       "56",
  number =       "??",
  pages =        "194--208",
  month =        "????",
  year =         "2004",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2004-009-7",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v56/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Suppose $K$ is an imaginary quadratic field and $E$ is
                 an elliptic curve over a number field $F$ with complex
                 multiplication by the ring of integers in $K$. Let $p$
                 be a rational prime that splits as $\mathfrak{p}$_1$
                 \mathfrak{p}$_2$$ in $K$. Let $E$_{p$^n$}$$ denote the
                 $p$^n$$-division points on $E$. Assume that
                 $F(E$_{p$^n$}$)$ is abelian over $K$ for all $n geq 0$.
                 This paper proves that the Pontrjagin dual of the
                 $\mathfrak{p}$_1^\infty$$-Selmer group of $E$ over
                 $F(E$_{p$^\infty$}$)$ is a finitely generated free
                 $Lambda$-module, where Lambda is the Iwasawa algebra of
                 Gal (F(E$_{p$^\infty$}$)/ F(E$_{\mathfrak{p} 1}^\infty$
                 \mathfrak{p}$_2$)). It also gives a simple formula for
                 the rank of the Pontrjagin dual as a $Lambda$-module.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Schmuland:2004:CLT,
  author =       "Byron Schmuland and Wei Sun",
  title =        "A Central Limit Theorem and Law of the Iterated
                 Logarithm for a Random Field with Exponential Decay of
                 Correlations",
  journal =      j-CAN-J-MATH,
  volume =       "56",
  number =       "??",
  pages =        "209--224",
  month =        "????",
  year =         "2004",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2004-010-6",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v56/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "In [6], Walter Philipp wrote that {``... the law of
                 the iterated logarithm holds for any process for which
                 the Borel-Cantelli Lemma, the central limit theorem
                 with a reasonably good remainder and a certain maximal
                 inequality are valid.''} Many authors [1], [2], [4],
                 [5], [9] have followed the plan in proving the law of
                 the iterated logarithm for sequences (or fields) of
                 dependent random variables. We carry on this tradition
                 by proving the law of the iterated logarithm for a
                 random field whose correlations satisfy an exponential
                 decay condition like the one obtained by Spohn [8] for
                 certain Gibbs measures. These do not fall into the
                 phi-mixing or strong mixing cases established in the
                 literature, but are needed for our investigations [7]
                 into diffusions on configuration space. The proofs are
                 all obtained by patching together standard results from
                 [5], [9] while keeping a careful eye on the
                 correlations.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Blower:2004:CUC,
  author =       "Gordon Blower and Thomas Ransford",
  title =        "Complex Uniform Convexity and {Riesz} Measure",
  journal =      j-CAN-J-MATH,
  volume =       "56",
  number =       "??",
  pages =        "225--245",
  month =        "????",
  year =         "2004",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2004-011-3",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v56/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "The norm on a Banach space gives rise to a subharmonic
                 function on the complex plane for which the
                 distributional Laplacian gives a Riesz measure. This
                 measure is calculated explicitly here for Lebesgue
                 $L^p$ spaces and the von~Neumann-Schatten trace ideals.
                 Banach spaces that are $q$-uniformly $PL$-convex in the
                 sense of Davis, Garling and Tomczak-Jaegermann are
                 characterized in terms of the mass distribution of this
                 measure. This gives a new proof that the trace ideals
                 $c^p$ are 2-uniformly $PL$-convex for $1 \leq p \leq
                 2$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Bonnafe:2004:EUR,
  author =       "C{\'e}dric Bonnaf{\'e}",
  title =        "{\'E}l{\'e}ments unipotents r{\'e}guliers des
                 sous-groupes de {Levi}. ({French}) [{Unipotent} regular
                 elements of {Levi} subgroups ]",
  journal =      j-CAN-J-MATH,
  volume =       "56",
  number =       "??",
  pages =        "246--276",
  month =        "????",
  year =         "2004",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2004-012-0",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v56/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We investigate the structure of the centralizer of a
                 regular unipotent element of a Levi subgroup of a
                 reductive group. We also investigate the structure of
                 the group of components of this centralizer in relation
                 with the notion of cuspidal local system defined by
                 Lusztig. We determine its unipotent radical, we prove
                 that it admits a Levi complement, and we get some
                 properties on its Weyl group. As an application, we
                 prove some results which were announced in previous
                 paper on regular unipotent elements. Nous {\'e}tudions
                 la structure du centralisateur d'un {\'e}l{\'e}ment
                 unipotent r{\'e}gulier d'un sous-groupe de Levi d'un
                 groupe r{\'e}ductif, ainsi que la structure du groupe
                 des composantes de ce centralisateur en relation avec
                 la notion de syst{\`e}me local cuspidal d{\'e}finie par
                 Lusztig. Nous d{\'e}terminons son radical unipotent,
                 montrons l'existence d'un compl{\'e}ment de Levi et
                 {\'e}tudions la structure de son groupe de Weyl. Comme
                 application, nous d{\'e}montrons des r{\'e}sultats qui
                 {\'e}taient annonc{\'e}s dans un pr{\'e}c{\'e}dent
                 article de l'auteur sur les {\'e}l{\'e}ments unipotents
                 r{\'e}guliers.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
  language =     "French",
}

@Article{Dostanic:2004:SPC,
  author =       "Milutin R. Dostani{\'c}",
  title =        "Spectral Properties of the Commutator of {Bergman}'s
                 Projection and the Operator of Multiplication by an
                 Analytic Function",
  journal =      j-CAN-J-MATH,
  volume =       "56",
  number =       "??",
  pages =        "277--292",
  month =        "????",
  year =         "2004",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2004-013-8",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v56/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "It is shown that the singular values of the operator
                 $aP - Pa$, where $P$ is Bergman's projection over a
                 bounded domain $\Omega$ and $a$ is a function analytic
                 on $bar{\Omega}$, detect the length of the boundary of
                 $a(\Omega)$. Also we point out the relation of that
                 operator and the spectral asymptotics of a Hankel
                 operator with an anti-analytic symbol.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Khomenko:2004:SMI,
  author =       "Oleksandr Khomenko and Volodymyr Mazorchuk",
  title =        "Structure of modules induced from simple modules with
                 minimal annihilator",
  journal =      j-CAN-J-MATH,
  volume =       "56",
  number =       "??",
  pages =        "293--309",
  month =        "????",
  year =         "2004",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2004-014-5",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v56/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We study the structure of generalized Verma modules
                 over a semi-simple complex finite-dimensional Lie
                 algebra, which are induced from simple modules over a
                 parabolic subalgebra. We consider the case when the
                 annihilator of the starting simple module is a minimal
                 primitive ideal if we restrict this module to the Levi
                 factor of the parabolic subalgebra. We show that these
                 modules correspond to proper standard modules in some
                 parabolic generalization of the
                 Bernstein-Gelfand-Gelfand category $O$ and prove that
                 the blocks of this parabolic category are equivalent to
                 certain blocks of the category of Harish-Chandra
                 bimodules. From this we derive, in particular, an
                 irreducibility criterion for generalized Verma modules.
                 We also compute the composition multiplicities of those
                 simple subquotients, which correspond to the induction
                 from simple modules whose annihilators are minimal
                 primitive ideals.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Llibre:2004:GQD,
  author =       "Jaume Llibre and Dana Schlomiuk",
  title =        "The Geometry of Quadratic Differential Systems with a
                 Weak Focus of Third Order",
  journal =      j-CAN-J-MATH,
  volume =       "56",
  number =       "??",
  pages =        "310--343",
  month =        "????",
  year =         "2004",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2004-015-2",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v56/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "In this article we determine the global geometry of
                 the planar quadratic differential systems with a weak
                 focus of third order. This class plays a significant
                 role in the context of Hilbert's 16-th problem. Indeed,
                 all examples of quadratic differential systems with at
                 least four limit cycles, were obtained by perturbing a
                 system in this family. We use the algebro-geometric
                 concepts of divisor and zero-cycle to encode global
                 properties of the systems and to give structure to this
                 class. We give a theorem of topological classification
                 of such systems in terms of integer-valued affine
                 invariants. According to the possible values taken by
                 them in this family we obtain a total of 18
                 topologically distinct phase portraits. We show that
                 inside the class of all quadratic systems with the
                 topology of the coefficients, there exists a
                 neighborhood of the family of quadratic systems with a
                 weak focus of third order and which may have graphics
                 but no polycycle in the sense of [15] and no limit
                 cycle, such that any quadratic system in this
                 neighborhood has at most four limit cycles.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Miao:2004:PMA,
  author =       "Tianxuan Miao",
  title =        "Predual of the Multiplier Algebra of {$A_p(G)$} and
                 Amenability",
  journal =      j-CAN-J-MATH,
  volume =       "56",
  number =       "??",
  pages =        "344--355",
  month =        "????",
  year =         "2004",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2004-016-x",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v56/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "For a locally compact group $G$ and $1 < p < \infty$,
                 let $A$_p$ (G)$ be the Herz-Fig{\`a}-Talamanca algebra
                 and let $PM$_p$ (G)$ be its dual Banach space. For a
                 Banach $A$_p$ (G)$-module $X$ of $PM$_p$ (G)$, we prove
                 that the multiplier space $mathcal{M} (A$_p$ (G),
                 X$^*$)$ is the dual Banach space of $Q$_X$$, where
                 $Q$_X$$ is the norm closure of the linear span $A$_p$
                 (G) X$ of $u f$ for $u \in A$_p$ (G)$ and $f \in X$ in
                 the dual of $mathcal{M} (A$_p$ (G), X$^*$)$. If $p=2$
                 and $PF$_p$ (G) subseteq X$, then $A$_p$ (G)X$ is
                 closed in $X$ if and only if $G$ is amenable. In
                 particular, we prove that the multiplier algebra
                 $MA$_p$ (G)$ of $A$_p$ (G)$ is the dual of $Q$, where
                 $Q$ is the completion of $L$^1$ (G)$ in the ||.||
                 $$_M$$-norm. $Q$ is characterized by the following: $f
                 \in Q$ if an only if there are $u$_i$ \in A$_p$ (G)$
                 and $f$_i$ \in PF$_p$ (G)$ $(i=1,2,...)$ with
                 sum$_{i=1}^\infty$ || u$_i$ ||$_{A p}$ (G) ||f$_i$
                 ||$_{PF p}$ (G) < \infty such that $f=
                 sum$_{i=1}^\infty$ u$_i$ f$_i$$ on $MA$_p$ (G)$. It is
                 also proved that if $A$_p$ (G)$ is dense in $MA$_p$
                 (G)$ in the associated $w$^*$$-topology, then the
                 multiplier norm and ||.|| $_{A p}$ (G) -norm are
                 equivalent on $A$_p$ (G)$ if and only if $G$ is
                 amenable.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Murty:2004:NAG,
  author =       "M. Ram Murty and Filip Saidak",
  title =        "Non-{Abelian} Generalizations of the
                 {Erd{\H{o}}s--Kac} Theorem",
  journal =      j-CAN-J-MATH,
  volume =       "56",
  number =       "??",
  pages =        "356--372",
  month =        "????",
  year =         "2004",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2004-017-7",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v56/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $a$ be a natural number greater than 1. Let $f$_a$
                 (n)$ be the order of $a$ mod $n$. Denote by $\omega(n)$
                 the number of distinct prime factors of $n$. Assuming a
                 weak form of the generalised Riemann hypothesis, we
                 prove the following conjecture of Erd{\"o}s and
                 Pomerance: The number of $n \leq x$ coprime to $a$
                 satisfying $\alpha \leq frac{\omega(f$_a$ (n)) - (log
                 log n)$^2$ /2} / {(log log n)$^{3/2}$ / \sqrt{3}} \leq
                 \beta$ is asymptotic to ( frac{1} / {\sqrt{2 pi}
                 int$_{\alpha}^{\beta}$ e$^{-t 2}$ /2 dt) frac{x phi(a)}
                 / {a}, as $x$ tends to infinity.??}",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Orton:2004:EPW,
  author =       "Louisa Orton",
  title =        "An Elementary Proof of a Weak Exceptional Zero
                 Conjecture",
  journal =      j-CAN-J-MATH,
  volume =       "56",
  number =       "??",
  pages =        "373--405",
  month =        "????",
  year =         "2004",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2004-018-4",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v56/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "In this paper we extend Darmon's theory of
                 ``integration on $mathcal{H}$_p$ x mathcal{H}$'' to
                 cusp forms $f$ of higher even weight. This enables us
                 to prove a {``weak exceptional zero conjecture''}: that
                 when the $p$-adic $L$-function of $f$ has an
                 exceptional zero at the central point, the
                 $mathcal{L}$-invariant arising is independent of a
                 twist by certain Dirichlet characters.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Pal:2004:TSE,
  author =       "Ambrus P{\'a}l",
  title =        "Theta Series, {Eisenstein} Series and {Poincar{\'e}}
                 Series over Function Fields",
  journal =      j-CAN-J-MATH,
  volume =       "56",
  number =       "??",
  pages =        "406--430",
  month =        "????",
  year =         "2004",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2004-019-1",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v56/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "In this paper we extend Darmon's theory of
                 ``integration on $mathcal{H}$_p$ x mathcal{H}$'' to
                 cusp forms $f$ of higher even weight. This enables us
                 to prove a ``weak exceptional zero conjecture'': that
                 when the $p$-adic $L$-function of $f$ has an
                 exceptional zero at the central point, the
                 $mathcal{L}$-invariant arising is independent of a
                 twist by certain Dirichlet characters. We construct
                 analogues of theta series, Eisenstein series and
                 Poincar{\'e} series for function fields of one variable
                 over finite fields, and prove their basic properties.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Rosenblatt:2004:GAS,
  author =       "Joseph Rosenblatt and Michael Taylor",
  title =        "Group Actions and Singular Martingales {II}, The
                 Recognition Problem",
  journal =      j-CAN-J-MATH,
  volume =       "56",
  number =       "??",
  pages =        "431--448",
  month =        "????",
  year =         "2004",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2004-020-2",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v56/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We continue our investigation in [RST] of a martingale
                 formed by picking a measurable set $A$ in a compact
                 group $G$, taking random rotates of $A$, and
                 considering measures of the resulting intersections,
                 suitably normalized. Here we concentrate on the inverse
                 problem of recognizing $A$ from a small amount of data
                 from this martingale. This leads to problems in
                 harmonic analysis on $G$, including an analysis of
                 integrals of products of Gegenbauer polynomials.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Demeter:2004:BCA,
  author =       "Ciprian Demeter",
  title =        "The Best Constants Associated with Some Weak Maximal
                 Inequalities in Ergodic Theory",
  journal =      j-CAN-J-MATH,
  volume =       "56",
  number =       "??",
  pages =        "449--471",
  month =        "????",
  year =         "2004",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2004-021-x",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v56/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We introduce a new device of measuring the degree of
                 the failure of convergence in the ergodic theorem along
                 subsequences of integers. Relations with other types of
                 bad behavior in ergodic theory and applications to
                 weighted averages are also discussed.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Fonf:2004:IDP,
  author =       "Vladimir P. Fonf and Libor Vesel{\'y}",
  title =        "Infinite-Dimensional Polyhedrality",
  journal =      j-CAN-J-MATH,
  volume =       "56",
  number =       "??",
  pages =        "472--494",
  month =        "????",
  year =         "2004",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2004-022-7",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v56/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "This paper deals with generalizations of the notion of
                 a polytope to infinite dimensions. The most general
                 definition is the following: a bounded closed convex
                 subset of a Banach space is called a $polytope$ if each
                 of its finite-dimensional affine sections is a
                 (standard) polytope. We study the relationships between
                 eight known definitions of infinite-dimensional
                 polyhedrality. We provide a complete isometric
                 classification of them, which gives solutions to
                 several open problems. An almost complete isomorphic
                 classification is given as well (only one implication
                 remains open).",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Gomi:2004:CAF,
  author =       "Yasushi Gomi and Iku Nakamura and Ken-ichi Shinoda",
  title =        "Coinvariant Algebras of Finite Subgroups of {$\SL(3,
                 C)$}",
  journal =      j-CAN-J-MATH,
  volume =       "56",
  number =       "??",
  pages =        "495--528",
  month =        "????",
  year =         "2004",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2004-023-4",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v56/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "For most of the finite subgroups of SL( $3,$ {\bf C}),
                 we give explicit formulae for the Molien series of the
                 coinvariant algebras, generalizing McKay's formulae
                 [McKay99] for subgroups of SU( $2$). We also study the
                 $G$-orbit Hilbert scheme Hilb $$^G$$ ( {\bf C} $$^3$$)
                 for any finite subgroup $G$ of SO( $3$), which is known
                 to be a minimal (crepant) resolution of the orbit space
                 {\bf C} $$^3$ /G$. In this case the fiber over the
                 origin of the Hilbert-Chow morphism from Hilb $$^G$$ (
                 {\bf C} $$^3$$) to {\bf C} $$^3$ /G$ consists of
                 finitely many smooth rational curves, whose planar dual
                 graph is identified with a certain subgraph of the
                 representation graph of $G$. This is an SO( $3$)
                 version of the McKay correspondence in the SU( $2$)
                 case.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Martinez-Finkelshtein:2004:AMD,
  author =       "A. Mart{\'\i}nez-Finkelshtein and V. Maymeskul and E.
                 A. Rakhmanov and E. B. Saff",
  title =        "Asymptotics for Minimal Discrete {Riesz} Energy on
                 Curves in {$\R^d$}",
  journal =      j-CAN-J-MATH,
  volume =       "56",
  number =       "??",
  pages =        "529--552",
  month =        "????",
  year =         "2004",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2004-024-1",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v56/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We consider the $s$-energy $E$ ( {\bf Z} $$_n$ ;s$) =
                 $sum$_{i \neq j}$ K$ (|| $z$_{i,n}$-z$_{j,n}$$ || $;s$)
                 for point sets {\bf Z}$_n$ = {z$_{k,n}$ :k=0,...,n} on
                 certain compact sets $\Gamma$ in {\bf R}$^d$ having
                 finite one-dimensional Hausdorff measure, where $K$ (
                 $t;s$)= $t$^{-s}$$, if $s > 0$, -ln $t,$ if $s=0,$ is
                 the Riesz kernel. Asymptotics for the minimum
                 $s$-energy and the distribution of minimizing sequences
                 of points is studied. In particular, we prove that, for
                 $s geq 1$, the minimizing nodes for a rectifiable
                 Jordan curve $\Gamma$ distribute asymptotically
                 uniformly with respect to arclength as $n \to
                 \infty$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Mohammadalikhani:2004:CRS,
  author =       "Ramin Mohammadalikhani",
  title =        "Cohomology Ring of Symplectic Quotients by Circle
                 Actions",
  journal =      j-CAN-J-MATH,
  volume =       "56",
  number =       "??",
  pages =        "553--565",
  month =        "????",
  year =         "2004",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2004-025-9",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v56/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "In this article we are concerned with how to compute
                 the cohomology ring of a symplectic quotient by a
                 circle action using the information we have about the
                 cohomology of the original manifold and some data at
                 the fixed point set of the action. Our method is based
                 on the Tolman-Weitsman theorem which gives a
                 characterization of the kernel of the Kirwan map. First
                 we compute a generating set for the kernel of the
                 Kirwan map for the case of product of compact connected
                 manifolds such that the cohomology ring of each of them
                 is generated by a degree two class. We assume the fixed
                 point set is isolated; however the circle action only
                 needs to be {``formally Hamiltonian''}. By identifying
                 the kernel, we obtain the cohomology ring of the
                 symplectic quotient. Next we apply this result to some
                 special cases and in particular to the case of products
                 of two dimensional spheres. We show that the results of
                 Kalkman and Hausmann-Knutson are special cases of our
                 result.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Ni:2004:GMH,
  author =       "Yilong Ni",
  title =        "Geodesics in a Manifold with {Heisenberg} Group as
                 Boundary",
  journal =      j-CAN-J-MATH,
  volume =       "56",
  number =       "??",
  pages =        "566--589",
  month =        "????",
  year =         "2004",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2004-026-6",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v56/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "The Heisenberg group is considered as the boundary of
                 a manifold. A class of hypersurfaces in this manifold
                 can be regarded as copies of the Heisenberg group. The
                 properties of geodesics in the interior and on the
                 hypersurfaces are worked out in detail. These
                 properties are strongly related to those of the
                 Heisenberg group.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Ni:2004:HKG,
  author =       "Yilong Ni",
  title =        "The Heat Kernel and {Green's} Function on a Manifold
                 with {Heisenberg} Group as Boundary",
  journal =      j-CAN-J-MATH,
  volume =       "56",
  number =       "??",
  pages =        "590--611",
  month =        "????",
  year =         "2004",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2004-027-3",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v56/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We study the Riemannian Laplace--Beltrami operator $L$
                 on a Riemannian manifold with Heisenberg group $H$_1$$
                 as boundary. We calculate the heat kernel and Green's
                 function for $L$, and give global and small time
                 estimates of the heat kernel. A class of hypersurfaces
                 in this manifold can be regarded as approximations of
                 $H$_1$$. We also restrict $L$ to each hypersurface and
                 calculate the corresponding heat kernel and Green's
                 function. We will see that the heat kernel and Green's
                 function converge to the heat kernel and Green's
                 function on the boundary.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Pal:2004:SPP,
  author =       "Ambrus P{\'a}l",
  title =        "Solvable Points on Projective Algebraic Curves",
  journal =      j-CAN-J-MATH,
  volume =       "56",
  number =       "??",
  pages =        "612--637",
  month =        "????",
  year =         "2004",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2004-028-0",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v56/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We examine the problem of finding rational points
                 defined over solvable extensions on algebraic curves
                 defined over general fields. We construct non-singular,
                 geometrically irreducible projective curves without
                 solvable points of genus $g$, when $g$ is at least 40,
                 over fields of arbitrary characteristic. We prove that
                 every smooth, geometrically irreducible projective
                 curve of genus 0, 2, 3 or 4 defined over any field has
                 a solvable point. Finally we prove that every genus 1
                 curve defined over a local field of characteristic zero
                 with residue field of characteristic $p$ has a divisor
                 of degree prime to $6p$ defined over a solvable
                 extension.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Sniatycki:2004:MRP,
  author =       "J{\k{e}}drzej {\'S}niatycki",
  title =        "Multisymplectic Reduction for Proper Actions",
  journal =      j-CAN-J-MATH,
  volume =       "56",
  number =       "??",
  pages =        "638--654",
  month =        "????",
  year =         "2004",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2004-029-8",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v56/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We consider symmetries of the Dedonder equation
                 arising from variational problems with partial
                 derivatives. Assuming a proper action of the symmetry
                 group, we identify a set of reduced equations on an
                 open dense subset of the domain of definition of the
                 fields under consideration. By continuity, the Dedonder
                 equation is satisfied whenever the reduced equations
                 are satisfied.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Tao:2004:NPS,
  author =       "Xiangxing Tao and Henggeng Wang",
  title =        "On the {Neumann} Problem for the {Schr{\"o}dinger}
                 Equations with Singular Potentials in {Lipschitz}
                 Domains",
  journal =      j-CAN-J-MATH,
  volume =       "56",
  number =       "??",
  pages =        "655--672",
  month =        "????",
  year =         "2004",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2004-030-9",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v56/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We consider the Neumann problem for the
                 Schr{\"o}dinger equations $-\Delta u+Vu=0$, with
                 singular nonnegative potentials $V$ belonging to the
                 reverse H{\"o}lder class {\bf B}$_n$, in a connected
                 Lipschitz domain $\Omega subset$ {\bf R} $$^n$$. Given
                 boundary data $g$ in $H^p$ or $L^p$ for $1 - epsilon <
                 p \leq 2$, where $0 < epsilon < 1/n$, it is shown that
                 there is a unique solution, $u$, that solves the
                 Neumann problem for the given data and such that the
                 nontangential maximal function of $nabla u$ is in $L^p$
                 ( $partial \Omega$). Moreover, the uniform estimates
                 are found.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Cali:2004:DSS,
  author =       "{\'E}lie Cali",
  title =        "{D}{\'e}faut de semi-stabilit{\'e} des courbes
                 elliptiques dans le cas non ramifi{\'e}. ({French})
                 [{Semi-stability} failure of elliptic curves in the
                 unbranched case]",
  journal =      j-CAN-J-MATH,
  volume =       "56",
  number =       "??",
  pages =        "673--698",
  month =        "????",
  year =         "2004",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2004-031-6",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v56/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let ${\overline Q}$_2$$ be an algebraic closure of
                 $Q$_2$$ and $K$ be an unramified finite extension of
                 $Q$_2$$ included in ${\overline Q}$_2$$. Let $E$ be an
                 elliptic curve defined over $K$ with additive reduction
                 over $K$, and having an integral modular invariant. Let
                 us denote by $K$_{nr}$$ the maximal unramified
                 extension of $K$ contained in ${\overline Q}$_2$$.
                 There exists a smallest finite extension $L$ of
                 $K$_{nr}$$ over which $E$ has good reduction. We
                 determine in this paper the degree of the extension
                 $L/K$_{nr}$$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
  language =     "French",
}

@Article{Gaspari:2004:BFH,
  author =       "Thierry Gaspari",
  title =        "{Bump} Functions with {H{\"o}lder} Derivatives",
  journal =      j-CAN-J-MATH,
  volume =       "56",
  number =       "??",
  pages =        "699--715",
  month =        "????",
  year =         "2004",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2004-032-3",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v56/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We study the range of the gradients of a $C$^{1,
                 \alpha}$$-smooth bump function defined on a Banach
                 space. We find that this set must satisfy two
                 geometrical conditions: It can not be too flat and it
                 satisfies a strong compactness condition with respect
                 to an appropriate distance. These notions are defined
                 precisely below. With these results we illustrate the
                 differences with the case of $C$^1$$-smooth bump
                 functions. Finally, we give a sufficient condition on a
                 subset of $X$^*$$ so that it is the set of the
                 gradients of a $C$^{1,1}$$-smooth bump function. In
                 particular, if $X$ is an infinite dimensional Banach
                 space with a $C$^{1,1}$$-smooth bump function, then any
                 convex open bounded subset of $X$^*$$ containing 0 is
                 the set of the gradients of a $C$^{1,1}$$-smooth bump
                 function.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Guardo:2004:FPT,
  author =       "Elena Guardo and Adam {Van Tuyl}",
  title =        "Fat Points in {$\mathbb{P}^1 \times \mathbb{P}^1$} and
                 Their {Hilbert} Functions",
  journal =      j-CAN-J-MATH,
  volume =       "56",
  number =       "??",
  pages =        "716--741",
  month =        "????",
  year =         "2004",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2004-033-0",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v56/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We study the Hilbert functions of fat points in
                 ${\mathbb p}$^1$ x {\mathbb p}$^1$$. If $Z subseteq
                 {\mathbb p}$^1$ x {\mathbb p}$^1$$ is an arbitrary fat
                 point scheme, then it can be shown that for every $i$
                 and $j$ the values of the Hilbert function $H$_Z$
                 (l,j)$ and $H$_Z$ (i,l)$ eventually become constant for
                 $l > > 0$. We show how to determine these eventual
                 values by using only the multiplicities of the points,
                 and the relative positions of the points in ${\mathbb
                 p}$^1$ x {\mathbb p}$^1$$. This enables us to compute
                 all but a finite number values of $H$_Z$$ without using
                 the coordinates of points. We also characterize the ACM
                 fat point schemes sing our description of the eventual
                 behaviour. In fact, in the case that $Z subseteq
                 {\mathbb p}$^1$ x {\mathbb p}$^1$$ is ACM, then the
                 entire Hilbert function and its minimal free resolution
                 depend solely on knowing the eventual values of the
                 Hilbert function.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Jiang:2004:SCC,
  author =       "Chunlan Jiang",
  title =        "Similarity Classification of {Cowen--Douglas}
                 Operators",
  journal =      j-CAN-J-MATH,
  volume =       "56",
  number =       "??",
  pages =        "742--775",
  month =        "????",
  year =         "2004",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2004-034-8",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v56/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $cal{H}$ be a complex separable Hilbert space and
                 $cal{L} cal{H}$ denote the collection of bounded linear
                 operators on $cal{H}$. An operator $A$ in $cal{L}
                 cal{H}$ is said to be strongly irreducible, if
                 $cal{A}$^\prime$ (T)$, the commutant of $A$, has no
                 non-trivial idempotent. An operator $A$ in $cal{L}
                 cal{H}$ is said to a Cowen-Douglas operator, if there
                 exists \Omega, a connected open subset of $C$, and $n$,
                 a positive integer, such that (a)
                 $\Omega{subset}{\sigma}(A)= z \in C; A-z$ not
                 invertible; (b) ran $(A-z)= cal{H},$ for $z$ in
                 $\Omega$; (c) $bigvee$_{z \in \Omega}$ ker (A-z) =
                 cal{H}$ and (d) $dim ker (A-z) = n$ for $z$ in
                 $\Omega$. In the paper, we give a similarity
                 classification of strongly irreducible Cowen-Douglas
                 operators by using the $K$_0$$-group of the commutant
                 algebra as an invariant.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Lim:2004:BAR,
  author =       "Yongdo Lim",
  title =        "Best Approximation in {Riemannian} Geodesic
                 Submanifolds of Positive Definite Matrices",
  journal =      j-CAN-J-MATH,
  volume =       "56",
  number =       "??",
  pages =        "776--793",
  month =        "????",
  year =         "2004",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2004-035-5",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v56/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We explicitly describe the best approximation in
                 geodesic submanifolds of positive definite matrices
                 obtained from involutive congruence transformations on
                 the Cartan-Hadamard manifold $mathrm{Sym}(n,{Bbb
                 R})$^{++}$$ of positive definite matrices. An explicit
                 calculation for the minimal distance function from the
                 geodesic submanifold $mathrm{Sym}(p,{\mathbb R})$^{++}$
                 x$ $mathrm{Sym}(q,{\mathbb R})$^{++}$$ block diagonally
                 embedded in $mathrm{Sym}(n,{\mathbb R})$^{++}$$ is
                 given in terms of metric and spectral geometric means,
                 Cayley transform, and Schur complements of positive
                 definite matrices when $p \leq 2$ or $q \leq 2$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Michel:2004:SCB,
  author =       "Laurent Michel",
  title =        "Semi-Classical Behavior of the Scattering Amplitude
                 for Trapping Perturbations at Fixed Energy",
  journal =      j-CAN-J-MATH,
  volume =       "56",
  number =       "??",
  pages =        "794--824",
  month =        "????",
  year =         "2004",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2004-036-2",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v56/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We study the semi-classical behavior as $h rightarrow
                 0$ of the scattering amplitude $f(\theta, \omega,
                 \lambda, h)$ associated to a Schr{\"o}dinger operator
                 $P(h) = - 1/2 h$^2$ \Delta + V(x)$ with short-range
                 trapping perturbations. First we realize a spatial
                 localization in the general case and we deduce a bound
                 of the scattering amplitude on the real line. Under an
                 additional assumption on the resonances, we show that
                 if we modify the potential $V(x)$ in a domain lying
                 behind the barrier ${x:V(x) > \lambda}$, the scattering
                 amplitude $f(\theta, \omega, \lambda, h)$ changes by a
                 term of order $O (h$^\infty$)$. Under an escape
                 assumption on the classical trajectories incoming with
                 fixed direction \omega, we obtain an asymptotic
                 development of $f(\theta, \omega, \lambda, h)$ similar
                 to the one established in thenon-trapping case.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Penot:2004:DPO,
  author =       "Jean-Paul Penot",
  title =        "Differentiability Properties of Optimal Value
                 Functions",
  journal =      j-CAN-J-MATH,
  volume =       "56",
  number =       "??",
  pages =        "825--842",
  month =        "????",
  year =         "2004",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2004-037-x",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v56/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Differentiability properties of optimal value
                 functions associated with perturbed optimization
                 problems require strong assumptions. We consider such a
                 set of assumptions which does not use compactness
                 hypothesis but which involves a kind of coherence
                 property. Moreover, a strict differentiability property
                 is obtained by using techniques of Ekeland and Lebourg
                 and a result of Preiss. Such a strengthening is
                 required in order to obtain genericity results.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Ruan:2004:TDR,
  author =       "Zhong-Jin Ruan",
  title =        "Type Decomposition and the Rectangular {AFD} Property
                 for {{$W^*$}-TRO}'s",
  journal =      j-CAN-J-MATH,
  volume =       "56",
  number =       "??",
  pages =        "843--870",
  month =        "????",
  year =         "2004",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2004-038-7",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v56/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We study the type decomposition and the rectangular
                 AFD property for $W$^*$$-TRO's. Like von Neumann
                 algebras, every $W$^*$$-TRO can be uniquely decomposed
                 into the direct sum of $W$^*$$-TRO's of type $I$, type
                 $II$, and type $III$. We may further consider
                 $W$^*$$-TRO's of type $I$_{m, n}$$ with cardinal
                 numbers $m$ and $n$, and consider $W$^*$$-TRO's of type
                 $II$_{\lambda, \mu}$$ with $\lambda, \mu = 1$ or
                 $\infty$. It is shown that every separable stable
                 $W$^*$$-TRO (which includes type $I$_{\infty,
                 \infty}$$, type $II$_{\infty, \infty}$$ and type $III$)
                 is TRO-isomorphic to a von Neumann algebra. We also
                 introduce the rectangular version of the approximately
                 finite dimensional property for $W$^*$$-TRO's. One of
                 our major results is to show that a separable
                 $W$^*$$-TRO is injective if and only if it is
                 rectangularly approximately finite dimensional. As a
                 consequence of this result, we show that a dual
                 operator space is injective if and only if its operator
                 predual is a rigid rectangular $cal{OL}$_{1, 1$^+$}$$
                 space (equivalently, a rectangular $cal{OL}$_{1,
                 1$^+$}$$ space).",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Schocker:2004:LEK,
  author =       "Manfred Schocker",
  title =        "{Lie} Elements and {Knuth} Relations",
  journal =      j-CAN-J-MATH,
  volume =       "56",
  number =       "??",
  pages =        "871--882",
  month =        "????",
  year =         "2004",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2004-039-4",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v56/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "A coplactic class in the symmetric group $Sym$_n$$
                 consists of all permutations in $Sym$_n$$ with a given
                 Schensted $Q$-symbol, and may be described in terms of
                 local relations introduced by Knuth. Any Lie element in
                 the group algebra of $Sym$_n$$ which is constant on
                 coplactic classes is already constant on descent
                 classes. As a consequence, the intersection of the Lie
                 convolution algebra introduced by Patras and Reutenauer
                 and the coplactic algebra introduced by Poirier and
                 Reutenauer is the direct sum of all Solomon descent
                 algebras.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Tandra:2004:KTC,
  author =       "Haryono Tandra and William Moran",
  title =        "{Kirillov} Theory for a Class of Discrete Nilpotent
                 Groups",
  journal =      j-CAN-J-MATH,
  volume =       "56",
  number =       "??",
  pages =        "883--896",
  month =        "????",
  year =         "2004",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2004-040-5",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v56/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "This paper is concerned with the Kirillov map for a
                 class of torsion-free nilpotent groups $G$. $G$ is
                 assumed to be discrete, countable and $pi$-radicable,
                 with $pi$ containing the primes less than or equal to
                 the nilpotence class of $G$. In addition, it is assumed
                 that all of the characters of $G$ have idempotent
                 absolute value. Such groups are shown to be
                 plentiful.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Borwein:2004:FEA,
  author =       "Jonathan M. Borwein and David Borwein and William F.
                 Galway",
  title =        "Finding and Excluding $b$-ary {Machin}-Type Individual
                 Digit Formulae",
  journal =      j-CAN-J-MATH,
  volume =       "56",
  number =       "5",
  pages =        "897--925",
  month =        oct,
  year =         "2004",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2004-041-2",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v56/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Constants with formulae of the form treated by D.
                 Bailey, P. Borwein, and S. Plouffe ({\em BBP
                 formulae\/} to a given base $b$) have interesting
                 computational properties, such as allowing single
                 digits in their base $b$ expansion to be independently
                 computed, and there are hints that they should be {\em
                 normal\/} numbers, {\em i.e.}, that their base $b$
                 digits are randomly distributed. We study a formally
                 limited subset of BBP formulae, which we call {\em
                 Machin-type BBP formulae}, for which it is relatively
                 easy to determine whether or not a given constant
                 $\kappa$ has a Machin-type BBP formula. In particular,
                 given $b \in \mathbb{N}$, $b > 2$, $b$ not a proper
                 power, a $b$-ary Machin-type BBP arctangent formula for
                 $\kappa$ is a formula of the form $\kappa = \sum_m a_m
                 \arctan(-b^{-m})$, $a_m \in \mathbb{Q}$, while when $b
                 = 2$, we also allow terms of the form $a_m \arctan(1 /
                 (1 - 2^m))$. Of particular interest, we show that $\pi$
                 has no Machin-type BBP arctangent formula when $b \neq
                 2$. To the best of our knowledge, when there is no
                 Machin-type BBP formula for a constant then no BBP
                 formula of any form is known for that constant.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
  remark =       "This paper established the result that there are no
                 degree-1 BBP-type formulas for $\pi$, except when the
                 base is 2 (or an integer power thereof).",
}

@Article{Hadfield:2004:HRA,
  author =       "Tom Hadfield",
  title =        "{$K$}-Homology of the Rotation Algebras
                 {{$A_{\theta}$}}",
  journal =      j-CAN-J-MATH,
  volume =       "56",
  number =       "??",
  pages =        "926--944",
  month =        "????",
  year =         "2004",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2004-042-x",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v56/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We study the $K$-homology of the rotation algebras
                 $A_\theta$ using the six-term cyclic sequence for the
                 $K$-homology of a crossed product by ${\bf Z}$. In the
                 case that $\theta$ is irrational, we use Pimsner and
                 Voiculescu's work on AF-embeddings of the $A_\theta$ to
                 search for the missing generator of the even
                 $K$-homology.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Helminck:2004:SQA,
  author =       "Aloysius G. Helminck and Gerald W. Schwarz",
  title =        "Smoothness of Quotients Associated with a Pair of
                 Commuting Involutions",
  journal =      j-CAN-J-MATH,
  volume =       "56",
  number =       "??",
  pages =        "945--962",
  month =        "????",
  year =         "2004",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2004-043-7",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v56/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $\sigma$, $\theta$ be commuting involutions of the
                 connected semisimple algebraic group $G$ where
                 $\sigma$, $\theta$ and $G$ are defined over an
                 algebraically closed field ${underbar k}$, Char
                 ${underbar k} = 0$. Let $H := G^\sigma$ and $K :=
                 G^\theta$ be the fixed point groups. We have an action
                 $(H x K) x G \to G$, where $((h,k),g) \mapsto hgk
                 \inv$, $h \in H$, $k \in K$, $g \in G$. Let $quot G{(H
                 x K)}$ denote the categorical quotient Spec
                 $cal{O}(G)$^{H x K}$$. We determine when this quotient
                 is smooth. Our results are a generalization of those of
                 Steinberg [Ste75], Pittie [Pit72] and Richardson
                 [Ric82] in the symmetric case where $\sigma = \theta$
                 and $H = K$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Ishiwata:2004:BET,
  author =       "Satoshi Ishiwata",
  title =        "A {Berry--Esseen} Type Theorem on Nilpotent Covering
                 Graphs",
  journal =      j-CAN-J-MATH,
  volume =       "56",
  number =       "??",
  pages =        "963--982",
  month =        "????",
  year =         "2004",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2004-044-4",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v56/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We prove an estimate for the speed of convergence of
                 the transition probability for a symmetric random walk
                 on a nilpotent covering graph. To obtain this estimate,
                 we give a complete proof of the Gaussian bound for the
                 gradient of the Markov kernel.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Junge:2004:FTU,
  author =       "Marius Junge",
  title =        "{Fubini}'s Theorem for Ultraproducts of Noncommutative
                 {$L_p$}-Spaces",
  journal =      j-CAN-J-MATH,
  volume =       "56",
  number =       "??",
  pages =        "983--1021",
  month =        "????",
  year =         "2004",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2004-045-1",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v56/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $({\cal M}$_i$)$_{i \in I}$$, $({\cal N}$_j$)$_{j
                 \in J}$$ be families of von Neumann algebras and ${\cal
                 U}$, ${\cal U}'$ be ultrafilters in $I$, $J$,
                 respectively. Let $1 \leq p < \infty$ and $n \in N$.
                 Let $x$_1$,...,x$_n$$ in $prod L$_p$ ({\cal M}$_i$)$
                 and $y$_1$,...,y$_n$$ in $prod L$_p$ ({\cal N}$_j$)$ be
                 bounded families. We show the following equality
                 lim$_{i,{\cal U}}$ lim$_{j, {\cal U}'}$ | sum$_{k =
                 1}^n$ x$_k$ (i) \otimes y$_k$ (j) |$_{L p}$ ({\cal
                 M}$_i$ \otimes {\cal N}$_j$) = lim$_{j, {\cal U}'}$
                 lim$_{i, {\cal U}}$ | sum$_{k = 1}^n$ x$_k$ (i) \otimes
                 y$_k$ (j) |$_{L p}$ ({\cal M}$_i$ \otimes {\cal
                 N}$_j$). For $p = 1$ this Fubini type result is related
                 to the local reflexivity of duals of $C$^*$$-algebras.
                 This fails for $p = \infty$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Matignon:2004:NOS,
  author =       "D. Matignon and N. Sayari",
  title =        "Non-Orientable Surfaces and {Dehn} Surgeries",
  journal =      j-CAN-J-MATH,
  volume =       "56",
  number =       "??",
  pages =        "1022--1033",
  month =        "????",
  year =         "2004",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2004-046-9",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v56/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $K$ be a knot in $S$^3$$. This paper is devoted to
                 Dehn surgeries which create 3-manifolds containing a
                 closed non-orientable surface $hat S$. We look at the
                 slope $p/q$ of the surgery, the Euler characteristic
                 $\chi(hat S)$ of the surface and the intersection
                 number $s$ between $hat S$ and the core of the Dehn
                 surgery. We prove that if $\chi(hat S) \geq 15 - 3q$,
                 then $s = 1$. Furthermore, if $s = 1$ then $q \leq 4 -
                 3 \chi(hat S)$ or $K$ is cabled and $q \leq 8 - 5
                 \chi(hat S)$. As consequence, if $K$ is hyperbolic and
                 $\chi(hat S) = -1$, then $q \leq 7$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Rouleux:2004:SCI,
  author =       "Michel Rouleux",
  title =        "Semi-classical Integrability,Hyperbolic Flows and the
                 {Birkhoff} Normal Form",
  journal =      j-CAN-J-MATH,
  volume =       "56",
  number =       "??",
  pages =        "1034--1067",
  month =        "????",
  year =         "2004",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2004-047-6",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v56/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We prove that a Hamiltonian p \in C$^\infty$ (T$^*$
                 {\bf R}$^n$) is locally integrable near a
                 non-degenerate critical point $rho$_0$$ of the energy,
                 provided that the fundamental matrix at $rho$_0$$ has
                 rationally independent eigenvalues, none purely
                 imaginary. This is done by using Birkhoff normal forms,
                 which turn out to be convergent in the $C$^\infty$$
                 sense. We also give versions of the Lewis-Sternberg
                 normal form near a hyperbolic fixed point of a
                 canonical transformation. Then we investigate the
                 complex case, showing that when $p$ is holomorphic near
                 rho$_0$ \in T$^*$ {\bf C}$^n$, then $Re p$ becomes
                 integrable in the complex domain for real times, while
                 the Birkhoff series and the Birkhoff transforms may not
                 converge, $i.e.,$ $p$ may not be integrable. These
                 normal forms also hold in the semi-classical frame.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Steinbach:2004:REG,
  author =       "Anja Steinbach and Hendrik {Van Maldeghem}",
  title =        "Regular Embeddings of Generalized Hexagons",
  journal =      j-CAN-J-MATH,
  volume =       "56",
  number =       "??",
  pages =        "1068--1093",
  month =        "????",
  year =         "2004",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2004-048-3",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v56/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We classify the generalized hexagons which are laxly
                 embedded in projective space such that the embedding is
                 flat and polarized. Besides the standard examples
                 related to the hexagons defined over the algebraic
                 groups of type G $$_2$$, $$^3$$ D $$_4$$ and $$^6$$ D
                 $$_4$$ (and occurring in projective dimensions
                 $5,6,7$), we find new examples in unbounded dimension
                 related to the mixed groups of type G $$_2$$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Thomas:2004:CLI,
  author =       "Hugh Thomas",
  title =        "Cycle-Level Intersection Theory for Toric Varieties",
  journal =      j-CAN-J-MATH,
  volume =       "56",
  number =       "??",
  pages =        "1094--1120",
  month =        "????",
  year =         "2004",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2004-049-0",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v56/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "This paper addresses the problem of constructing a
                 cycle-level intersection theory for toric varieties. We
                 show that by making one global choice, we can determine
                 a cycle representative for the intersection of an
                 equivariant Cartier divisor with an invariant cycle on
                 a toric variety. For a toric variety defined by a fan
                 in $N$, the choice consists of giving an inner product
                 or a complete flag for $M$_{{\mathbb Q}}$ = {\mathbb Q}
                 t Hom(N,{\mathbb Z})$, or more generally giving for
                 each cone $\sigma$ in the fan a linear subspace of
                 $M$_{\sigma}$$ complementary to $\sigma$^{perp}$$,
                 satisfying certain compatibility conditions. We show
                 that these intersection cycles have properties
                 analogous to the usual intersections modulo rational
                 equivalence. If $X$ is simplicial (for instance, if $X$
                 is non-singular), we obtain a commutative ring
                 structure to the invariant cycles of $X$ with rational
                 coefficients. This ring structure determines cycles
                 representing certain characteristic classes of the
                 toric variety. We also discuss how to define
                 intersection cycles that require no choices, at the
                 expense of increasing the size of the coefficient
                 field.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Chaumat:2004:DPP,
  author =       "Jacques Chaumat and Anne-Marie Chollet",
  title =        "Division par un polyn{\^o}me hyperbolique. ({French})
                 [{Division} by a hyperbolic polynomial]",
  journal =      j-CAN-J-MATH,
  volume =       "56",
  number =       "??",
  pages =        "1121--1144",
  month =        "????",
  year =         "2004",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2004-050-1",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v56/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "On se donne un intervalle ouvert non vide $\omega$ de
                 $\mathbb R$, un ouvert connexe non vide $\Omega$ de
                 $\mathbb R$_s$$ et un polyn{\^o}me unitaire $P$_m$ (z,
                 lambda) = z$^m$ + a$_1$ (lambda)z$^{m-1}$ = +\dots +
                 a$_{m-1}$ (lambda) z + a$_m$ (lambda),$ de degr{\'e} $m
                 > 0$, d{\'e}pendant du param{\`e}tre $lambda \in
                 \Omega$. Un tel polyn{\^o}me est dit
                 $\omega$-hyperbolique si, pour tout $lambda \in
                 \Omega$, ses racines sont r{\'e}elles et appartiennent
                 {\`a} $\omega$. On suppose que les fonctions $a$_k$$,
                 $k = 1, \dots, m$, appartiennent {\`a} une classe
                 ultradiff{\'e}rentiable $C$_M$ (\Omega)$. On
                 s`int{\'e}resse au probl{\`e}me suivant. Soit $f$
                 appartient {\`a} $C$_M$ (\Omega)$, existe-t-il des
                 fonctions $Q$_f$$ et $R$_{f,k}$$, $k = 0, \dots, m -
                 1$, appartenant respectivement {\`a} $C$_M$ (\omega
                 \times \Omega)$ et {\`a} $C$_M$ (\Omega)$, telles que
                 l'on ait, pour $(x, lambda) \in \omega \times \Omega$,
                 $f(x) = P$_m$ (x,lambda) Q$_f$ (x,lambda) +
                 \sum$^{m-1}_{k = 0}$ x$^k$ R$_{f,k}$ (lambda)?$ On
                 donne ici une r{\'e}ponse positive d{\`e}s que le
                 polyn{\^o}me est $\omega$-hyperbolique, que la class
                 untradiff{\'e}ren\-tiable soit quasi-analytique ou non;
                 on obtient alors, des exemples d'id{\'e}aux ferm{\'e}s
                 dans $C$_M$ (\mathbb R$^n$)$. On compl{\`e}te ce
                 travail par une g{\'e}n{\'e}ralisation d'un
                 r{\'e}sultat de C. L. Childress dans le cadre
                 quasi-analytique et quelques remarques.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
  language =     "French",
}

@Article{Daigle:2004:LHP,
  author =       "Daniel Daigle and Peter Russell",
  title =        "On Log {$\mathbb Q$}-Homology Planes and Weighted
                 Projective Planes",
  journal =      j-CAN-J-MATH,
  volume =       "56",
  number =       "??",
  pages =        "1145--1189",
  month =        "????",
  year =         "2004",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2004-051-9",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v56/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We classify normal affine surfaces with trivial
                 Makar-Limanov invariant and finite Picard group of the
                 smooth locus, realizing them as open subsets of
                 weighted projective planes. We also show that such a
                 surface admits, up to conjugacy, one or two
                 $G$_a$$-actions.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Frank:2004:MFS,
  author =       "G{\"u}nter Frank and Xinhou Hua and R{\'e}mi
                 Vaillancourt",
  title =        "Meromorphic Functions Sharing the Same Zeros and
                 Poles",
  journal =      j-CAN-J-MATH,
  volume =       "56",
  number =       "??",
  pages =        "1190--1227",
  month =        "????",
  year =         "2004",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2004-052-6",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v56/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "In this paper, Hinkkanen's problem (1984) is
                 completely solved, $i.e.,$ it is shown that any
                 meromorphic function $f$ is determined by its zeros and
                 poles and the zeros of f$^{(j)}$ for $j = 1,2,3,4$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Ho:2004:CMS,
  author =       "Nan-Kuo Ho and Chiu-Chu Melissa Liu",
  title =        "On the Connectedness of Moduli Spaces of Flat
                 Connections over Compact Surfaces",
  journal =      j-CAN-J-MATH,
  volume =       "56",
  number =       "??",
  pages =        "1228--1236",
  month =        "????",
  year =         "2004",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2004-053-3",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v56/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We study the connectedness of the moduli space of
                 gauge equivalence classes of flat $G$-connections on a
                 compact orientable surface or a compact nonorientable
                 surface for a class of compact connected Lie groups.
                 This class includes all the compact, connected, simply
                 connected Lie groups, and some non-semisimple classical
                 groups.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Kishimoto:2004:CSA,
  author =       "Akitaka Kishimoto",
  title =        "Central Sequence Algebras of a Purely Infinite Simple
                 {$C^*$}-algebra",
  journal =      j-CAN-J-MATH,
  volume =       "56",
  number =       "??",
  pages =        "1237--1258",
  month =        "????",
  year =         "2004",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2004-054-0",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v56/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We are concerned with a unital separable nuclear
                 purely infinite simple $C$^*$$-algebra\ $A$ satisfying
                 UCT with a Rohlin flow, as a continuation of [12]. Our
                 first result (which is independent of the Rohlin flow)
                 is to characterize when two $central$ projections in
                 $A$ are equivalent by a $central$ partial isometry. Our
                 second result shows that the K-theory of the central
                 sequence algebra $A$^'$ \cap A$^{\omega}$$ (for an
                 $\omega \in \beta \N \setminus \N$ and its $fixed
                 point$ algebra under the flow are the same
                 (incorporating the previous result). We will also
                 complete and supplement the characterization result of
                 the Rohlin property for flows stated in [12].",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Paterson:2004:FAL,
  author =       "Alan L. T. Paterson",
  title =        "The {Fourier} Algebra for Locally Compact
                 Groupoids",
  journal =      j-CAN-J-MATH,
  volume =       "56",
  number =       "??",
  pages =        "1259--1289",
  month =        "????",
  year =         "2004",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2004-055-8",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v56/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We introduce and investigate using Hilbert modules the
                 properties of the $Fourier algebra$ $A(G)$ for a
                 locally compact groupoid $G$. We establish a duality
                 theorem for such groupoids in terms of multiplicative
                 module maps. This includes as a special case the
                 classical duality theorem for locally compact groups
                 proved by P. Eymard.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Scull:2004:EFA,
  author =       "Laura Scull",
  title =        "Equivariant Formality for Actions of Torus Groups",
  journal =      j-CAN-J-MATH,
  volume =       "56",
  number =       "??",
  pages =        "1290--1307",
  month =        "????",
  year =         "2004",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2004-056-5",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v56/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "This paper contains a comparison of several
                 definitions of equivariant formality for actions of
                 torus groups. We develop and prove some relations
                 between the definitions. Focusing on the case of the
                 circle group, we use $S$^1$$-equivariant minimal models
                 to give a number of examples of $S$^1$$-spaces
                 illustrating the properties of the various
                 definitions.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Zhao:2004:VMH,
  author =       "Jianqiang Zhao",
  title =        "Variations of Mixed {Hodge} Structures of Multiple
                 Polylogarithms",
  journal =      j-CAN-J-MATH,
  volume =       "56",
  number =       "??",
  pages =        "1308--1338",
  month =        "????",
  year =         "2004",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2004-057-2",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v56/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "It is well known that multiple polylogarithms give
                 rise to good unipotent variations of mixed Hodge-Tate
                 structures. In this paper we shall $explicitly$
                 determine these structures related to multiple
                 logarithms and some other multiple polylogarithms of
                 lower weights. The purpose of this explicit
                 construction is to give some important applications:
                 First we study the limit of mixed Hodge-Tate structures
                 and make a conjecture relating the variations of mixed
                 Hodge-Tate structures of multiple logarithms to those
                 of general multiple $poly$ logarithms. Then following
                 Deligne and Beilinson we describe an approach to
                 defining the single-valued real analytic version of the
                 multiple polylogarithms which generalizes the
                 well-known result of Zagier on classical
                 polylogarithms. In the process we find some interesting
                 identities relating single-valued multiple
                 polylogarithms of the same weight $k$ when $k = 2$ and
                 3. At the end of this paper, motivated by Zagier's
                 conjecture we pose a problem which relates the special
                 values of multiple Dedekind zeta functions of a number
                 field to the single-valued version of multiple
                 polylogarithms.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Anonymous:2004:AII,
  author =       "Anonymous",
  title =        "Author Index - Index des auteurs --- for 2004 - pour
                 2004",
  journal =      j-CAN-J-MATH,
  volume =       "56",
  number =       "6",
  pages =        "1339--1342",
  month =        dec,
  year =         "2004",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2004-058-x",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:11 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v56/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Alberich-Carraminana:2005:EDA,
  author =       "Maria Alberich-Carrami{\~n}ana and Joaquim Ro{\'e}",
  title =        "Enriques Diagrams and Adjacency of Planar Curve
                 Singularities",
  journal =      j-CAN-J-MATH,
  volume =       "57",
  number =       "??",
  pages =        "3--16",
  month =        "????",
  year =         "2005",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2005-001-1",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:12 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v57/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We study adjacency of equisingularity types of planar
                 complex curve singularities in terms of their Enriques
                 diagrams. The goal is, given two equisingularity types,
                 to determine whether one of them is adjacent to the
                 other. For linear adjacency a complete answer is
                 obtained, whereas for arbitrary (analytic) adjacency a
                 necessary condition and a sufficient condition are
                 proved. We also obtain new examples of exceptional
                 deformations, $i.e.,$ singular curves of type
                 $mathcal{D}'$ that can be deformed to a curve of type
                 $mathcal{D}$ without $mathcal{D}'$ being adjacent to
                 $mathcal{D}$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Bedos:2005:ACA,
  author =       "Erik B{\'e}dos and Roberto Conti and Lars Tuset",
  title =        "On Amenability and Co-Amenability of Algebraic Quantum
                 Groups and Their Corepresentations",
  journal =      j-CAN-J-MATH,
  volume =       "57",
  number =       "??",
  pages =        "17--60",
  month =        "????",
  year =         "2005",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2005-002-8",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:12 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v57/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We introduce and study several notions of amenability
                 for unitary corepresentations and $*$-representations
                 of algebraic quantum groups, which may be used to
                 characterize amenability and co-amenability for such
                 quantum groups. As a background for this study, we
                 investigate the associated tensor $C$^*$$-categories.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Binding:2005:OSS,
  author =       "Paul Binding and Vladimir Strauss",
  title =        "On Operators with Spectral Square but without
                 Resolvent Points",
  journal =      j-CAN-J-MATH,
  volume =       "57",
  number =       "??",
  pages =        "61--81",
  month =        "????",
  year =         "2005",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2005-003-4",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:12 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v57/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Decompositions of spectral type are obtained for
                 closed Hilbert space operators with empty resolvent
                 set, but whose square has closure which is spectral.
                 Krein space situations are also discussed.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Fallat:2005:JST,
  author =       "Shaun M. Fallat and Michael I. Gekhtman",
  title =        "{Jordan} Structures of Totally Nonnegative Matrices",
  journal =      j-CAN-J-MATH,
  volume =       "57",
  number =       "??",
  pages =        "82--98",
  month =        "????",
  year =         "2005",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2005-004-0",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:12 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v57/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "An $n x n$ matrix is said to be totally nonnegative if
                 every minor of $A$ is nonnegative. In this paper we
                 completely characterize all possible Jordan canonical
                 forms of irreducible totally nonnegative matrices. Our
                 approach is mostly combinatorial and is based on the
                 study of weighted planar diagrams associated with
                 totally nonnegative matrices.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Fegan:2005:SOO,
  author =       "H. D. Fegan and B. Steer",
  title =        "Second Order Operators on a Compact {Lie} Group",
  journal =      j-CAN-J-MATH,
  volume =       "57",
  number =       "??",
  pages =        "99--113",
  month =        "????",
  year =         "2005",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2005-005-7",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:12 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v57/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We describe the structure of the space of second order
                 elliptic differential operators on a homogenous bundle
                 over a compact Lie group. Subject to a technical
                 condition, these operators are homotopic to the
                 Laplacian. The technical condition is further
                 investigated, with examples given where it holds and
                 others where it does not. Since many spectral
                 invariants are also homotopy invariants, these results
                 provide information about the invariants of these
                 operators.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Flaschka:2005:BFS,
  author =       "Hermann Flaschka and John Millson",
  title =        "Bending Flows for Sums of Rank One Matrices",
  journal =      j-CAN-J-MATH,
  volume =       "57",
  number =       "??",
  pages =        "114--158",
  month =        "????",
  year =         "2005",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2005-006-3",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:12 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v57/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We study certain symplectic quotients of $n$-fold
                 products of complex projective $m$-space by the unitary
                 group acting diagonally. After studying nonemptiness
                 and smoothness of these quotients we construct the
                 action-angle variables, defined on an open dense
                 subset, of an integrable Hamiltonian system. The
                 semiclassical quantization of this system reporduces
                 formulas from the representation theory of the unitary
                 group.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Jantzen:2005:DSI,
  author =       "Chris Jantzen",
  title =        "Duality and Supports of Induced Representations for
                 Orthogonal Groups",
  journal =      j-CAN-J-MATH,
  volume =       "57",
  number =       "??",
  pages =        "159--179",
  month =        "????",
  year =         "2005",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2005-007-x",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:12 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v57/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "In this paper, we construct a duality for $p$-adic
                 orthogonal groups.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Somodi:2005:SWS,
  author =       "Marius Somodi",
  title =        "On the Size of the Wild Set",
  journal =      j-CAN-J-MATH,
  volume =       "57",
  number =       "??",
  pages =        "180--203",
  month =        "????",
  year =         "2005",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2005-008-6",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:12 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v57/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "To every pair of algebraic number fields with
                 isomorphic Witt rings one can associate a number,
                 called the $minimum number of wild primes$. Earlier
                 investigations have established lower bounds for this
                 number. In this paper an analysis is presented that
                 expresses the minimum number of wild primes in terms of
                 the number of wild dyadic primes. This formula not only
                 gives immediate upper bounds, but can be considered to
                 be an exact formula for the minimum number of wild
                 primes.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Xiong:2005:DBC,
  author =       "Jie Xiong and Xiaowen Zhou",
  title =        "On the Duality between Coalescing {Brownian} Motions",
  journal =      j-CAN-J-MATH,
  volume =       "57",
  number =       "??",
  pages =        "204--224",
  month =        "????",
  year =         "2005",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2005-009-2",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:12 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v57/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "A duality formula is found for coalescing Brownian
                 motions on the real line. It is shown that the joint
                 distribution of a coalescing Brownian motion can be
                 determined by another coalescing Brownian motion
                 running backward. This duality is used to study a
                 measure-valued process arising as the high density
                 limit of the empirical measures of coalescing Brownian
                 motions.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Booss-Bavnbek:2005:UFO,
  author =       "Bernhelm Booss-Bavnbek and Matthias Lesch and John
                 Phillips",
  title =        "Unbounded {Fredholm} Operators and Spectral Flow",
  journal =      j-CAN-J-MATH,
  volume =       "57",
  number =       "??",
  pages =        "225--250",
  month =        "????",
  year =         "2005",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2005-010-1",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:12 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v57/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We study the gap (= {``projection norm''} = {``graph
                 distance''}) topology of the space of all (not
                 necessarily bounded) self-adjoint Fredholm operators in
                 a separable Hilbert space by the Cayley transform and
                 direct methods. In particular, we show the surprising
                 result that this space is connected in contrast to the
                 bounded case. Moreover, we present a rigorous
                 definition of spectral flow of a path of such operators
                 (actually alternative but mutually equivalent
                 definitions) and prove the homotopy invariance. As an
                 example, we discuss operator curves on manifolds with
                 boundary.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Cocos:2005:SNR,
  author =       "M. Cocos",
  title =        "Some New Results on {$L^2$} Cohomology of Negatively
                 Curved {Riemannian} Manifolds",
  journal =      j-CAN-J-MATH,
  volume =       "57",
  number =       "??",
  pages =        "251--266",
  month =        "????",
  year =         "2005",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2005-011-9",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:12 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v57/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "The present paper is concerned with the study of the
                 $L$^2$$ cohomology spaces of negatively curved
                 manifolds. The first half presents a finiteness and
                 vanishing result obtained under some curvature
                 assumptions, while the second half identifies a class
                 of metrics having non-trivial $L$^2$$ cohomology for
                 degree equal to the half dimension of the space. For
                 the second part we rely on the existence and regularity
                 properties of the solution for the heat equation for
                 forms.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Conrad:2005:PEP,
  author =       "Keith Conrad",
  title =        "Partial {Euler} Products on the Critical Line",
  journal =      j-CAN-J-MATH,
  volume =       "57",
  number =       "??",
  pages =        "267--297",
  month =        "????",
  year =         "2005",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2005-012-6",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:12 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v57/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "The initial version of the Birch and Swinnerton-Dyer
                 conjecture concerned asymptotics for partial Euler
                 products for an elliptic curve $L$-function at $s = 1$.
                 Goldfeld later proved that these asymptotics imply the
                 Riemann hypothesis for the $L$-function and that the
                 constant in the asymptotics has an unexpected factor of
                 $\sqrt{2}$. We extend Goldfeld's theorem to an analysis
                 of partial Euler products for a typical $L$-function
                 along its critical line. The general $\sqrt{2}$
                 phenomenon is related to second moments, while the
                 asymptotic behavior (over number fields) is proved to
                 be equivalent to a condition that in a precise sense
                 seems much deeper than the Riemann hypothesis. Over
                 function fields, the Euler product asymptotics can
                 sometimes be proved unconditionally.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Kumchev:2005:WGP,
  author =       "Angel V. Kumchev",
  title =        "On the {Waring--Goldbach} Problem: Exceptional Sets
                 for Sums of Cubes and Higher Powers",
  journal =      j-CAN-J-MATH,
  volume =       "57",
  number =       "??",
  pages =        "298--327",
  month =        "????",
  year =         "2005",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2005-013-3",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:12 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v57/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We investigate exceptional sets in the
                 Waring--Goldbach problem. For example, in the cubic
                 case, we show that all but $O(N$^{79/84 + epsilon}$)$
                 integers subject to the necessary local conditions can
                 be represented as the sum of five cubes of primes.
                 Furthermore, we develop a new device that leads easily
                 to similar estimates for exceptional sets for sums of
                 fourth and higher powers of primes.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Kuo:2005:CBS,
  author =       "Wentang Kuo and M. Ram Murty",
  title =        "On a Conjecture of {Birch} and {Swinnerton-Dyer}",
  journal =      j-CAN-J-MATH,
  volume =       "57",
  number =       "??",
  pages =        "328--337",
  month =        "????",
  year =         "2005",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2005-014-0",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:12 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v57/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $E /(\mathbb Q)$ be an elliptic curve defined by
                 the equation $y$^2$ = x$^3$ + ax + b$. For a prime $p,
                 p \nmid \Delta = -16(4a$^3$ + 27b$^2$) \neq 0$, define
                 $N$_p$ = p + 1 -a$_p$ = |E((\mathbb F)$_p$)|.$ As a
                 precursor to their celebrated conjecture, Birch and
                 Swinnerton-Dyer originally conjectured that for some
                 constant $c$, $\prod$_{p \leq x, p \nmid \Delta}$
                 (N$_p$)/p \sim c (log x)$^r$, \quad x \to \infty.$ Let
                 $\alpha$_p$$ and $\beta$_p$$ be the eigenvalues of the
                 Frobenius at $p$. Define $tilde{c}$_n$ =$ {
                 ${\alpha$_p^k$ + \beta$_p^k$}/k n =p$^k$,$ $p$ is a
                 prime, $k$ is a natural number, $p \nmid \Delta$. $0$
                 otherwise.} and $tilde{C}(x) = sum$_{n \leq x}$
                 tilde{c}$_n$$. In this paper, we establish the
                 equivalence between the conjecture and the condition
                 $tilde{C}(x) = mathbf{o}(x)$. The asymptotic condition
                 is indeed much deeper than what we know so far or what
                 we can know under the analogue of the Riemann
                 hypothesis. In addition, we provide an oscillation
                 theorem and an $\Omega$ theorem which relate to the
                 constant $c$ in the conjecture.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Lange:2005:CES,
  author =       "Tanja Lange and Igor E. Shparlinski",
  title =        "Certain Exponential Sums and Random Walks on Elliptic
                 Curves",
  journal =      j-CAN-J-MATH,
  volume =       "57",
  number =       "??",
  pages =        "338--350",
  month =        "????",
  year =         "2005",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2005-015-8",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:12 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v57/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "For a given elliptic curve $E$, we obtain an upper
                 bound on the discrepancy of sets of multiples $z$_s$ G$
                 where $z$_s$$ runs through a sequence $Z = (z$_1$, ...,
                 z$_T$)$ such that $k z$_1$, ..., kz$_T$$ is a
                 permutation of $z$_1$, ..., z$_T$$, both sequences
                 taken modulo $t$, for sufficiently many distinct values
                 of $k$ modulo $t$. We apply this result to studying an
                 analogue of the power generator over an elliptic curve.
                 These results are elliptic curve analogues of those
                 obtained for multiplicative groups of finite fields and
                 residue rings.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Lin:2005:ESA,
  author =       "Huaxin Lin",
  title =        "Extensions by Simple {$C^*$}-Algebras: Quasidiagonal
                 Extensions",
  journal =      j-CAN-J-MATH,
  volume =       "57",
  number =       "??",
  pages =        "351--399",
  month =        "????",
  year =         "2005",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2005-016-5",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:12 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v57/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $A$ be an amenable separable $C$^*$$-algebra and
                 $B$ be a non-unital but $\sigma$-unital simple
                 $C$^*$$-algebra with continuous scale. We show that two
                 essential extensions $tau$_1$$ and $tau$_2$$ of $A$ by
                 $B$ are approximately unitarily equivalent if and only
                 if $[tau$_1$ ]=[tau$_2$ ]$ in $KL(A, M(B)/B).$ If $A$
                 is assumed to satisfy the Universal Coefficient
                 Theorem, there is a bijection from approximate unitary
                 equivalence classes of the above mentioned extensions
                 to $KL(A, M(B)/B)$. Using $KL(A, M(B)/B)$, we compute
                 exactly when an essential extension is quasidiagonal.
                 We show that quasidiagonal extensions may not be
                 approximately trivial. We also study the approximately
                 trivial extensions.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Sabourin:2005:GC,
  author =       "Sindi Sabourin",
  title =        "Generalized $k$-Configurations",
  journal =      j-CAN-J-MATH,
  volume =       "57",
  number =       "??",
  pages =        "400--415",
  month =        "????",
  year =         "2005",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2005-017-2",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:12 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v57/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "In this paper, we find configurations of points in
                 $n$-dimensional projective space ( ${\mathbb P}$^n$$)
                 which simultaneously generalize both $k$-configurations
                 and reduced $0$-dimensional complete intersections.
                 Recall that $k$-configurations in ${\mathbb P}$^2$$ are
                 disjoint unions of distinct points on lines and in
                 ${\mathbb P}$^n$$ are inductively disjoint unions of
                 $k$-configurations on hyperplanes, subject to certain
                 conditions. Furthermore, the Hilbert function of a
                 $k$-configuration is determined from those of the
                 smaller $k$-configurations. We call our generalized
                 constructions $k$_D$$-configurations, where $D =
                 {d$_1$, ...,d$_r$}$ (a set of $r$ positive integers
                 with repetition allowed) is the type of a given
                 complete intersection in ${\mathbb P}$^n$$. We show
                 that the Hilbert function of any $k$_D$$-configuration
                 can be obtained from those of smaller
                 $k$_D$$-configurations. We then provide applications of
                 this result in two different directions, both of which
                 are motivated by corresponding results about
                 $k$-configurations.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Wise:2005:AFP,
  author =       "Daniel T. Wise",
  title =        "Approximating Flats by Periodic Flats in ${\CAT}(0)$
                 Square Complexes",
  journal =      j-CAN-J-MATH,
  volume =       "57",
  number =       "??",
  pages =        "416--448",
  month =        "????",
  year =         "2005",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2005-018-x",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:12 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v57/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We investigate the problem of whether every immersed
                 flat plane in a nonpositively curved square complex is
                 the limit of periodic flat planes. Using a branched
                 cover, we reduce the problem to the case of
                 $VH$-complexes. We solve the problem for malnormal and
                 cyclonormal $VH$-complexes. We also solve the problem
                 for complete square complexes using a different
                 approach. We give an application towards deciding
                 whether the elements of fundamental groups of the
                 spaces we study have commuting powers. We note a
                 connection between the flat approximation problem and
                 subgroup separability.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Alkan:2005:SGF,
  author =       "Emre Alkan",
  title =        "On the Sizes of Gaps in the {Fourier} Expansion of
                 Modular Forms",
  journal =      j-CAN-J-MATH,
  volume =       "57",
  number =       "??",
  pages =        "449--470",
  month =        "????",
  year =         "2005",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2005-019-7",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:12 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v57/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $f = sum$_{n = 1}^\infty$ a$_f$ (n)q$^n$$ be a
                 cusp form with integer weight $k \geq 2$ that is not a
                 linear combination of forms with complex
                 multiplication. For $n \geq 1$, let $i$_f$ (n)= {i :
                 a$_f$ (n+j) = 0$ for all $0 \leq j \leq i}$ if $a$_f$
                 (n) = 0,$ $0$ otherwise. Concerning bounded values of
                 $i$_f$ (n)$ we prove that for $epsilon > 0$ there
                 exists $M = M(epsilon,f)$ such that $# {n \leq x :
                 i$_f$ (n) \leq M} \geq (1 - epsilon) x$. Using results
                 of Wu, we show that if $f$ is a weight 2 cusp form for
                 an elliptic curve without complex multiplication, then
                 $i$_f$ (n) ll$_{f, epsilon}$ n$^{51/134 + epsilon}$$.
                 Using a result of David and Pappalardi, we improve the
                 exponent to $1/3$ for almost all newforms associated to
                 elliptic curves without complex multiplication.
                 Inspired by a classical paper of Selberg, we also
                 investigate $i$_f$ (n)$ on the average using well known
                 bounds on the Riemann Zeta function.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Ciesielski:2005:SCS,
  author =       "Krzysztof Ciesielski and Janusz Pawlikowski",
  title =        "Small Coverings with Smooth Functions under the
                 Covering Property Axiom",
  journal =      j-CAN-J-MATH,
  volume =       "57",
  number =       "??",
  pages =        "471--493",
  month =        "????",
  year =         "2005",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2005-020-8",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:12 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v57/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "In the paper we formulate a Covering Property Axiom,
                 CPA$_{prism}$, which holds in the iterated perfect set
                 model, and show that it implies the following facts, of
                 which (a) and (b) are the generalizations of results of
                 J. Steprans. (a) There exists a family $\cal F$ of less
                 than continuum many $\cal C$^1$$ functions from $R$ to
                 $R$ such that $R$^2$$ is covered by functions from $cal
                 F$, in the sense that for every $(x,y) \in R$^2$$ there
                 exists an $f \in {\cal F}$ such that either $f(x) = y$
                 or $f(y) = x$. (b) For every Borel function $f: R \to
                 R$ there exists a family $\cal F$ of less than
                 continuum many ``${\cal C}$^1$$'' functions ($i.e.,$
                 differentiable functions with continuous derivatives,
                 where derivative can be infinite) whose graphs cover
                 the graph of $f$. (c) For every $n > 0$ and a $D$^n$$
                 function $f: R \to R$ there exists a family $\cal F$ of
                 less than continuum many ${\cal C}$^n$$ functions whose
                 graphs cover the graph of $f$. We also provide the
                 examples showing that in the above properties the
                 smoothness conditions are the best possible. Parts (b),
                 (c), and the examples are closely related to work of A.
                 Olevskii.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Friedlander:2005:SFC,
  author =       "John B. Friedlander and Henryk Iwaniec",
  title =        "Summation Formulae for Coefficients of
                 {$L$}-functions",
  journal =      j-CAN-J-MATH,
  volume =       "57",
  number =       "??",
  pages =        "494--505",
  month =        "????",
  year =         "2005",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2005-021-5",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:12 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v57/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "With applications in mind we establish a summation
                 formula for the coefficients of a general Dirichlet
                 series satisfying a suitable functional equation. Among
                 a number of consequences we derive a generalization of
                 an elegant divisor sum bound due to F. V. Atkinson.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Gross:2005:RHS,
  author =       "Leonard Gross and Martin Grothaus",
  title =        "Reverse Hypercontractivity for Subharmonic Functions",
  journal =      j-CAN-J-MATH,
  volume =       "57",
  number =       "??",
  pages =        "506--534",
  month =        "????",
  year =         "2005",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2005-022-2",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:12 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v57/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Contractivity and hypercontractivity properties of
                 semigroups are now well understood when the generator,
                 $A$, is a Dirichlet form operator. It has been shown
                 that in some holomorphic function spaces the semigroup
                 operators, $e$^{-tA}$,$ can be bounded $below$ from
                 $L^p$ to $L$^q$$ when $p,q$ and $t$ are suitably
                 related. We will show that such lower boundedness
                 occurs also in spaces of subharmonic functions.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Kim:2005:LFN,
  author =       "Henry H. Kim",
  title =        "On Local {$L$}-Functions and Normalized Intertwining
                 Operators",
  journal =      j-CAN-J-MATH,
  volume =       "57",
  number =       "??",
  pages =        "535--597",
  month =        "????",
  year =         "2005",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2005-023-x",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:12 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v57/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "In this paper we make explicit all $L$-functions in
                 the Langlands--Shahidi method which appear as
                 normalizing factors of global intertwining operators in
                 the constant term of the Eisenstein series. We prove,
                 in many cases, the conjecture of Shahidi regarding the
                 holomorphy of the local $L$-functions. We also prove
                 that the normalized local intertwining operators are
                 holomorphic and non-vaninishing for $Re(s) \geq 1/2$ in
                 many cases. These local results are essential in global
                 applications such as Langlands functoriality, residual
                 spectrum and determining poles of automorphic
                 $L$-functions.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Kornelson:2005:LSL,
  author =       "Keri A. Kornelson",
  title =        "Local Solvability of {Laplacian} Difference Operators
                 Arising from the Discrete {Heisenberg} Group",
  journal =      j-CAN-J-MATH,
  volume =       "57",
  number =       "??",
  pages =        "598--615",
  month =        "????",
  year =         "2005",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2005-024-7",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:12 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v57/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Differential operators $D$_x$$, $D$_y$$, and $D$_z$$
                 are formed using the action of the 3-dimensional
                 discrete Heisenberg group $G$ on a set $S$, and the
                 operators will act on functions on $S$. The Laplacian
                 operator $L = D$_x^2$ + D$_y^2$ + D$_z^2$$ is a
                 difference operator with variable differences which can
                 be associated to a unitary representation of $G$ on the
                 Hilbert space $L$^2$ (S)$. Using techniques from
                 harmonic analysis and representation theory, we show
                 that the Laplacian operator is locally solvable.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Muic:2005:RGP,
  author =       "Goran Mui{\'c}",
  title =        "Reducibility of Generalized Principal Series",
  journal =      j-CAN-J-MATH,
  volume =       "57",
  number =       "??",
  pages =        "616--647",
  month =        "????",
  year =         "2005",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2005-025-4",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:12 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v57/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "In this paper we describe reducibility of non-unitary
                 generalized principal series for classical $p$-adic
                 groups in terms of the classification of discrete
                 series due to Moeglin and Tadic.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Nevins:2005:BRP,
  author =       "Monica Nevins",
  title =        "Branching Rules for Principal Series Representations
                 of {$SL(2)$} over a $p$-adic Field",
  journal =      j-CAN-J-MATH,
  volume =       "57",
  number =       "??",
  pages =        "648--672",
  month =        "????",
  year =         "2005",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2005-026-1",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:12 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v57/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We explicitly describe the decomposition into
                 irreducibles of the restriction of the principal series
                 representations of $SL(2,k)$, for $k$ a $p$-adic field,
                 to each of its two maximal compact subgroups (up to
                 conjugacy). We identify these irreducible
                 subrepresentations in the Kirillov-type classification
                 of Shalika. We go on to explicitly describe the
                 decomposition of the reducible principal series of
                 $SL(2,k)$ in terms of the restrictions of its
                 irreducible constituents to a maximal compact
                 subgroup.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Androulakis:2005:SSM,
  author =       "G. Androulakis and E. Odell and Th. Schlumprecht and
                 N. Tomczak-Jaegermann",
  title =        "On the Structure of the Spreading Models of a {Banach}
                 Space",
  journal =      j-CAN-J-MATH,
  volume =       "57",
  number =       "??",
  pages =        "673--707",
  month =        "????",
  year =         "2005",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2005-027-9",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:12 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v57/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We study some questions concerning the structure of
                 the set of spreading models of a separable
                 infinite-dimensional Banach space $X$. In particular we
                 give an example of a reflexive $X$ so that all
                 spreading models of $X$ contain $ell$_1$$ but none of
                 them is isomorphic to $ell$_1$$. We also prove that for
                 any countable set $C$ of spreading models generated by
                 weakly null sequences there is a spreading model
                 generated by a weakly null sequence which dominates
                 each element of $C$. In certain cases this ensures that
                 $X$ admits, for each ${\alpha} < {\omega}$_1$$, a
                 spreading model $( {\SGMLtilde}
                 x$_i^{({\alpha})}$)$_i$$ such that if ${\alpha} <
                 {\beta}$ then $( {\SGMLtilde} x$_i^{({\alpha})}$)$_i$$
                 is dominated by (and not equivalent to) $( {\SGMLtilde}
                 x$_i^{({\beta})}$)$_i$$. Some applications of these
                 ideas are used to give sufficient conditions on a
                 Banach space for the existence of a subspace and an
                 operator defined on the subspace, which is not a
                 compact perturbation of a multiple of the inclusion
                 map.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Finster:2005:CEA,
  author =       "Felix Finster and Margarita Kraus",
  title =        "Curvature Estimates in Asymptotically Flat
                 {Lorentzian} Manifolds",
  journal =      j-CAN-J-MATH,
  volume =       "57",
  number =       "??",
  pages =        "708--723",
  month =        "????",
  year =         "2005",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2005-028-6",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:12 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v57/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We consider an asymptotically flat Lorentzian manifold
                 of dimension $(1,3)$. An inequality is derived which
                 bounds the Riemannian curvature tensor in terms of the
                 ADM energy in the general case with second fundamental
                 form. The inequality quantifies in which sense the
                 Lorentzian manifold becomes flat in the limit when the
                 ADM energy tends to zero.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Purnaprajna:2005:SRS,
  author =       "B. P. Purnaprajna",
  title =        "Some Results on Surfaces of General Type",
  journal =      j-CAN-J-MATH,
  volume =       "57",
  number =       "??",
  pages =        "724--749",
  month =        "????",
  year =         "2005",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2005-029-3",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:12 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v57/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "In this article we prove some new results on
                 projective normality, normal presentation and higher
                 syzygies for surfaces of general type, not necessarily
                 smooth, embedded by adjoint linear series. Some of the
                 corollaries of more general results include: results on
                 property $N$_p$$ associated to $K$_S$ \otimes
                 B$^{otimes n}$$ where $B$ is base-point free and ample
                 divisor with $B \otimes K$^*$$ $nef$, results for
                 pluricanonical linear systems and results giving
                 effective bounds for adjoint linear series associated
                 to ample bundles. Examples in the last section show
                 that the results are optimal.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Sabourin:2005:STO,
  author =       "Herv{\'e} Sabourin",
  title =        "Sur la structure transverse {\`a} une orbite
                 nilpotente adjointe. ({French}) [{On} the transverse
                 structure of a nilpotent adjoint orbit]",
  journal =      j-CAN-J-MATH,
  volume =       "57",
  number =       "??",
  pages =        "750--770",
  month =        "????",
  year =         "2005",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2005-030-4",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:12 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v57/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We are interested in Poisson structures to transverse
                 nilpotent adjoint orbits in a complex semi-simple Lie
                 algebra, and we study their polynomial nature.
                 Furthermore, in the case of $sl$_n$$, we construct some
                 families of nilpotent orbits with quadratic transverse
                 structures.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
  language =     "French",
}

@Article{Schrohe:2005:RCE,
  author =       "E. Schrohe and J. Seiler",
  title =        "The Resolvent of Closed Extensions of Cone
                 Differential Operators",
  journal =      j-CAN-J-MATH,
  volume =       "57",
  number =       "??",
  pages =        "771--811",
  month =        "????",
  year =         "2005",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2005-031-1",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:12 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v57/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We study closed extensions $underline A$ of an
                 elliptic differential operator $A$ on a manifold with
                 conical singularities, acting as an unbounded operator
                 on a weighted $L$_p$$-space. Under suitable conditions
                 we show that the resolvent $(lambda-underline
                 A)$^{-1}$$ exists in a sector of the complex plane and
                 decays like $1/|lambda|$ as $|lambda| \to \infty$.
                 Moreover, we determine the structure of the resolvent
                 with enough precision to guarantee existence and
                 boundedness of imaginary powers of $underline A$. As an
                 application we treat the Laplace--Beltrami operator for
                 a metric with straight conical degeneracy and describe
                 domains yielding maximal regularity for the Cauchy
                 problem $\dot{u} - \Delta u = f$, $u(0) = 0$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Trifkovic:2005:VIE,
  author =       "Mak Trifkovi{\'c}",
  title =        "On the Vanishing of $\mu$-Invariants of Elliptic
                 Curves over {$\mathbb{Q}$}",
  journal =      j-CAN-J-MATH,
  volume =       "57",
  number =       "4",
  pages =        "812--843",
  month =        aug,
  year =         "2005",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2005-032-9",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:12 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v57/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $E$_{/ {\mathbb Q}}$$ be an elliptic curve with
                 good ordinary reduction at a prime $p > 2$. It has a
                 well-defined Iwasawa $mu$-invariant $mu(E)$_p$$ which
                 encodes part of the information about the growth of the
                 Selmer group $Sel E{K$_n$}$ as $K$_n$$ ranges over the
                 subfields of the cyclotomic ${\mathbb Z}p$-extension
                 $K$_{\infty/{\mathbb Q}}$$. Ralph Greenberg has
                 conjectured that any such $E$ is isogenous to a curve
                 $E$^'$$ with $mu(E$^'$)$_p$ = 0$. In this paper we
                 prove Greenberg's conjecture for infinitely many curves
                 $E$ with a rational $p$-torsion point, $p = 3$ or 5, no
                 two of our examples having isomorphic $p$-torsion. The
                 core of our strategy is a partial explicit evaluation
                 of the global duality pairing for finite flat group
                 schemes over rings of integers.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Williams:2005:PS,
  author =       "Gordon Williams",
  title =        "{Petrie} Schemes",
  journal =      j-CAN-J-MATH,
  volume =       "57",
  number =       "??",
  pages =        "844--870",
  month =        "????",
  year =         "2005",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2005-033-6",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:12 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v57/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Petrie polygons, especially as they arise in the study
                 of regular polytopes and Coxeter groups, have been
                 studied by geometers and group theorists since the
                 early part of the twentieth century. An open question
                 is the determination of which polyhedra possess Petrie
                 polygons that are simple closed curves. The current
                 work explores combinatorial structures in abstract
                 polytopes, called Petrie schemes, that generalize the
                 notion of a Petrie polygon. It is established that all
                 of the regular convex polytopes and honeycombs in
                 Euclidean spaces, as well as all of the
                 Gr{\"u}nbaum--Dress polyhedra, possess Petrie schemes
                 that are not self-intersecting and thus have Petrie
                 polygons that are simple closed curves. Partial results
                 are obtained for several other classes of less
                 symmetric polytopes.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Zhang:2005:HYM,
  author =       "Xi Zhang",
  title =        "{Hermitian} {Yang--Mills--Higgs} Metrics on Complete
                 {K{\"a}hler} Manifolds",
  journal =      j-CAN-J-MATH,
  volume =       "57",
  number =       "??",
  pages =        "871--896",
  month =        "????",
  year =         "2005",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2005-034-3",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:12 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v57/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "In this paper, first, we will investigate the
                 Dirichlet problem for one type of vortex equation,
                 which generalizes the well-known Hermitian Einstein
                 equation. Secondly, we will give existence results for
                 solutions of these vortex equations over various
                 complete noncompact K{\"a}hler manifolds.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Berezhnoi:2005:RBI,
  author =       "Evgenii I. Berezhnoi and Lech Maligranda",
  title =        "Representation of {Banach} Ideal Spaces and
                 Factorization of Operators",
  journal =      j-CAN-J-MATH,
  volume =       "57",
  number =       "??",
  pages =        "897--940",
  month =        "????",
  year =         "2005",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2005-035-0",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:12 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v57/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Representation theorems are proved for Banach ideal
                 spaces with the Fatou property which are built by the
                 Calder{\'o}n--Lozanovskii construction. Factorization
                 theorems for operators in spaces more general than the
                 Lebesgue $L^p$ spaces are investigated. It is natural
                 to extend the Gagliardo theorem on the Schur test and
                 the Rubio de Francia theorem on factorization of the
                 Muckenhoupt $A$_p$$ weights to reflexive Orlicz spaces.
                 However, it turns out that for the scales far from
                 $L^p$-spaces this is impossible. For the concrete
                 integral operators it is shown that factorization
                 theorems and the Schur test in some reflexive Orlicz
                 spaces are not valid. Representation theorems for the
                 Calder{\'o}n--Lozanovskii construction are involved in
                 the proofs.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Berg:2005:STH,
  author =       "Christian Berg and Antonio J. Dur{\'a}n",
  title =        "Some Transformations of {Hausdorff} Moment Sequences
                 and Harmonic Numbers",
  journal =      j-CAN-J-MATH,
  volume =       "57",
  number =       "??",
  pages =        "941--960",
  month =        "????",
  year =         "2005",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2005-036-8",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:12 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v57/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We introduce some non-linear transformations from the
                 set of Hausdorff moment sequences into itself; among
                 them is the one defined by the formula: $T((a$_n$)$_n$)
                 = 1/(a$_0$ + ... +a$_n$)$. We give some examples of
                 Hausdorff moment sequences arising from the
                 transformations and provide the corresponding measures:
                 one of these sequences is the reciprocal of the
                 harmonic numbers $(1+1/2 + ... + 1/(n+1))$^{-1}$$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Borwein:2005:CMF,
  author =       "Jonathan M. Borwein and Xianfu Wang",
  title =        "Cone-Monotone Functions: Differentiability and
                 Continuity",
  journal =      j-CAN-J-MATH,
  volume =       "57",
  number =       "??",
  pages =        "961--982",
  month =        "????",
  year =         "2005",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2005-037-5",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:12 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v57/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We provide a porosity-based approach to the
                 differentiability and continuity of real-valued
                 functions on separable Banach spaces, when the function
                 is monotone with respect to an ordering induced by a
                 convex cone $K$ with non-empty interior. We also show
                 that the set of nowhere $K$-monotone functions has a
                 ${\sigma}$-porous complement in the space of continuous
                 functions endowed with the uniform metric.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{anHuef:2005:SIT,
  author =       "Astrid an Huef and Iain Raeburn and Dana P. Williams",
  title =        "A Symmetric Imprimitivity Theorem for Commuting Proper
                 Actions",
  journal =      j-CAN-J-MATH,
  volume =       "57",
  number =       "??",
  pages =        "983--1011",
  month =        "????",
  year =         "2005",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2005-038-2",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:12 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v57/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We prove a symmetric imprimitivity theorem for
                 commuting proper actions of locally compact groups $H$
                 and $K$ on a $C$^*$$-algebra.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Karigiannis:2005:DS,
  author =       "Spiro Karigiannis",
  title =        "Deformations of {$G_2$} and {$\Spin(7)$} Structures",
  journal =      j-CAN-J-MATH,
  volume =       "57",
  number =       "??",
  pages =        "1012--1055",
  month =        "????",
  year =         "2005",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2005-039-x",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:12 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v57/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We consider some deformations of $G$_2$$-structures on
                 7-manifolds. We discover a canonical way to deform a
                 $G$_2$$-structure by a vector field in which the
                 associated metric gets {``twisted''} in some way by the
                 vector cross product. We present a system of partial
                 differential equations for an unknown vector field $w$
                 whose solution would yield a manifold with holonomy
                 $G$_2$$. Similarly we consider analogous constructions
                 for $Spin(7)$-structures on 8-manifolds. Some of the
                 results carry over directly, while others do not
                 because of the increased complexity of the $Spin(7)$
                 case.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Ozawa:2005:HGA,
  author =       "Narutaka Ozawa and Marc A. Rieffel",
  title =        "Hyperbolic Group {$C^*$}-Algebras and Free-Product
                 {$C^*$}-Algebras as Compact Quantum Metric Spaces",
  journal =      j-CAN-J-MATH,
  volume =       "57",
  number =       "??",
  pages =        "1056--1079",
  month =        "????",
  year =         "2005",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2005-040-0",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:12 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v57/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $ell$ be a length function on a group $G$, and let
                 $M$_{ell}$$ denote the operator of pointwise
                 multiplication by $ell$ on $ell$^2$ (G)$. Following
                 Connes, $M$_{ell}$$ can be used as a {``Dirac''}
                 operator for $C$_r^*$ (G)$. It defines a Lipschitz
                 seminorm on $C$_r^*$ (G)$, which defines a metric on
                 the state space of $C$_r^*$ (G)$. We show that if $G$
                 is a hyperbolic group and if $ell$ is a word-length
                 function on $G$, then the topology from this metric
                 coincides with the weak- $*$ topology (our definition
                 of a {``compact quantum metric space''}). We show that
                 a convenient framework is that of filtered
                 $C$^*$$-algebras which satisfy a suitable
                 {``Haagerup-type''} condition. We also use this
                 framework to prove an analogous fact for certain
                 reduced free products of $C$^*$$-algebras.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Pritsker:2005:GSM,
  author =       "Igor E. Pritsker",
  title =        "The {Gelfond--Schnirelman} Method in Prime Number
                 Theory",
  journal =      j-CAN-J-MATH,
  volume =       "57",
  number =       "??",
  pages =        "1080--1101",
  month =        "????",
  year =         "2005",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2005-041-8",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:12 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v57/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "The original Gelfond--Schnirelman method, proposed in
                 1936, uses polynomials with integer coefficients and
                 small norms on $[0,1]$ to give a Chebyshev-type lower
                 bound in prime number theory. We study a generalization
                 of this method for polynomials in many variables. Our
                 main result is a lower bound for the integral of
                 Chebyshev's ${\psi}$-function, expressed in terms of
                 the weighted capacity. This extends previous work of
                 Nair and Chudnovsky, and connects the subject to the
                 potential theory with external fields generated by
                 polynomial-type weights. We also solve the
                 corresponding potential theoretic problem, by finding
                 the extremal measure and its support.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Weston:2005:PRF,
  author =       "Tom Weston",
  title =        "Power Residues of {Fourier} Coefficients of Modular
                 Forms",
  journal =      j-CAN-J-MATH,
  volume =       "57",
  number =       "??",
  pages =        "1102--1120",
  month =        "????",
  year =         "2005",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2005-042-5",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:12 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v57/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let ${\rho} : G$_Q$ {\rightarrow} GL$_n$ (Q ell)$ be a
                 motivic $ell$-adic Galois representation. For fixed $m
                 > 1$ we initiate an investigation of the density of the
                 set of primes $p$ such that the trace of the image of
                 an arithmetic Frobenius at $p$ under ${\rho}$ is an
                 $m$-th power residue modulo $p$. Based on numerical
                 investigations with modular forms we conjecture (with
                 Ramakrishna) that this density equals $1/m$ whenever
                 the image of ${\rho}$ is open. We further conjecture
                 that for such ${\rho}$ the set of these primes $p$ is
                 independent of any set defined by Cebatorev-style
                 Galois-theoretic conditions (in an appropriate sense).
                 We then compute these densities for certain $m$ in the
                 complementary case of modular forms of CM-type with
                 rational Fourier coefficients; our proofs are a
                 combination of the Cebatorev density theorem (which
                 does apply in the CM case) and reciprocity laws applied
                 to Hecke characters. We also discuss a potential
                 application (suggested by Ramakrishna) to computing
                 inertial degrees at $p$ in abelian extensions of
                 imaginary quadratic fields unramified away from $p$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Barr:2005:EEA,
  author =       "Michael Barr and R. Raphael and R. G. Woods",
  title =        "On {$\mathcal{CR}$}-epic Embeddings and Absolute
                 {$\mathcal{CR}$}-epic Spaces",
  journal =      j-CAN-J-MATH,
  volume =       "57",
  number =       "??",
  pages =        "1121--1138",
  month =        "????",
  year =         "2005",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2005-043-2",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:12 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v57/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We study Tychonoff spaces $X$ with the property that,
                 for all topological embeddings $X {\rightarrow} Y$, the
                 induced map $C(Y) {\rightarrow} C(X)$ is an epimorphism
                 of rings. Such spaces are called absolute
                 $mathcal(CR)-epic$. The simplest examples of
                 $mathcal(CR)-epic$ spaces are \sigma-compact locally
                 compact spaces and Lindel{\"o}f $P$-spaces. We show
                 that $mathcal(CR)-epic$ first countable spaces must be
                 locally compact. However, a {``bad''} class of
                 $mathcal(CR)-epic$ spaces is exhibited whose pathology
                 settles, in the negative, a number of open questions.
                 Spaces which are not $mathcal(CR)-epic$ abound, and
                 some are presented.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Burke:2005:MWE,
  author =       "Maxim R. Burke and Arnold W. Miller",
  title =        "Models in Which Every Nonmeager Set is Nonmeager in a
                 Nowhere Dense {Cantor} Set",
  journal =      j-CAN-J-MATH,
  volume =       "57",
  number =       "??",
  pages =        "1139--1154",
  month =        "????",
  year =         "2005",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2005-044-x",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:12 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v57/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We prove that it is relatively consistent with ZFC
                 that in any perfect Polish space, for every nonmeager
                 set $A$ there exists a nowhere dense Cantor set $C$
                 such that $A cap C$ is nonmeager in $C$. We also
                 examine variants of this result and establish a measure
                 theoretic analog.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Cojocaru:2005:SSL,
  author =       "Alina Carmen Cojocaru and Etienne Fouvry and M. Ram
                 Murty",
  title =        "The Square Sieve and the {Lang--Trotter} Conjecture",
  journal =      j-CAN-J-MATH,
  volume =       "57",
  number =       "??",
  pages =        "1155--1177",
  month =        "????",
  year =         "2005",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2005-045-7",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:12 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v57/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $E$ be an elliptic curve defined over $\mathbb(Q)$
                 and without complex multiplication. Let $K$ be a fixed
                 imaginary quadratic field. We find nontrivial upper
                 bounds for the number of ordinary primes $p {\leq} x$
                 for which $\mathbb(Q)({\pi}$_p$) = K$, where
                 ${\pi}$_p$$ denotes the Frobenius endomorphism of $E$
                 at $p$. More precisely, under a generalized Riemann
                 hypothesis we show that this number is $O$_E$
                 (x$^{17{\SGMLfrasl}18}$ log x)$, and unconditionally we
                 show that this number is $O$_{E, K}$ (x(log log
                 x)$^{13{\SGMLfrasl}12}$ {\SGMLfrasl} (log
                 x)$^{25{\SGMLfrasl}24}$)$. We also prove that the
                 number of imaginary quadratic fields $K$, with $-\disc
                 K {\leq} x$ and of the form $K =
                 \mathbb(Q)({\pi}$_p$)$, is $ > > $_E$ logloglog x$ for
                 $x {\geq} x$_0$ (E)$. These results represent progress
                 towards a 1976 Lang--Trotter conjecture.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Cutkosky:2005:ABL,
  author =       "Steven Dale Cutkosky and Huy T{\`a}i H{\`a} and Hema
                 Srinivasan and Emanoil Theodorescu",
  title =        "Asymptotic Behavior of the Length of Local
                 Cohomology",
  journal =      j-CAN-J-MATH,
  volume =       "57",
  number =       "??",
  pages =        "1178--1192",
  month =        "????",
  year =         "2005",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2005-046-4",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:12 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v57/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $k$ be a field of characteristic 0, $R = k[x$_1$,
                 ldots, x$_d$ ]$ be a polynomial ring, and $m$ its
                 maximal homogeneous ideal. Let $I subset R$ be a
                 homogeneous ideal in $R$. Let ${\lambda}(M)$ denote the
                 length of an $R$-module $M$. In this paper, we show
                 that $lim$_{n {\rightarrow} {\infty}}$
                 {\lambda}(H$^0_{\mathfrak{m}}$ (R/I$^n$)) / n$^d$ =
                 lim$_{n {\rightarrow} {\infty} {\lambda} (Ext$^d$ R}$
                 (R/I$^n$,R(-d))) / n$^d$$ always exists. This limit has
                 been shown to be $e(I)/d!$ for $m$-primary ideals $I$
                 in a local Cohen--Macaulay ring, where $e(I)$ denotes
                 the multiplicity of $I$. But we find that this limit
                 may not be rational in general. We give an example for
                 which the limit is an irrational number thereby showing
                 that the lengths of these extention modules may not
                 have polynomial growth.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Dungey:2005:SCD,
  author =       "Nick Dungey",
  title =        "Some Conditions for Decay of Convolution Powers and
                 Heat Kernels on Groups",
  journal =      j-CAN-J-MATH,
  volume =       "57",
  number =       "??",
  pages =        "1193--1214",
  month =        "????",
  year =         "2005",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2005-047-1",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:12 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v57/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $K$ be a function on a unimodular locally compact
                 group $G$, and denote by $K$_n$ = K*K* ... * K$ the
                 $n$-th convolution power of $K$. Assuming that $K$
                 satisfies certain operator estimates in $L$^2$ (G)$, we
                 give estimates of the norms $|K$_n$ |$_2$$ and $|K$_n$
                 |$_{{\infty}}$$ for large $n$. In contrast to previous
                 methods for estimating $|K$_n$ |$_{{\infty}}$$, we do
                 not need to assume that the function $K$ is a
                 probability density or non-negative. Our results also
                 adapt for continuous time semigroups on $G$. Various
                 applications are given, for example, to estimates of
                 the behaviour of heat kernels on Lie groups.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Khare:2005:RLC,
  author =       "Chandrashekhar Khare",
  title =        "Reciprocity Law for Compatible Systems of {Abelian}
                 $\bmod p$ {Galois} Representations",
  journal =      j-CAN-J-MATH,
  volume =       "57",
  number =       "??",
  pages =        "1215--1223",
  month =        "????",
  year =         "2005",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2005-048-9",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:12 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v57/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "The main result of the paper is a $reciprocity law$
                 which proves that compatible systems of semisimple,
                 abelian mod $p$ representations (of arbitrary
                 dimension) of absolute Galois groups of number fields,
                 arise from Hecke characters. In the last section
                 analogs for Galois groups of function fields of these
                 results are explored, and a question is raised whose
                 answer seems to require developments in transcendence
                 theory in characteristic $p$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Kopotun:2005:CPA,
  author =       "K. A. Kopotun and D. Leviatan and I. A. Shevchuk",
  title =        "Convex Polynomial Approximation in the Uniform Norm:
                 Conclusion",
  journal =      j-CAN-J-MATH,
  volume =       "57",
  number =       "??",
  pages =        "1224--1248",
  month =        "????",
  year =         "2005",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2005-049-6",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:12 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v57/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Estimating the degree of approximation in the uniform
                 norm, of a convex function on a finite interval, by
                 convex algebraic polynomials, has received wide
                 attention over the last twenty years. However, while
                 much progress has been made especially in recent years
                 by, among others, the authors of this article,
                 separately and jointly, there have been left some
                 interesting open questions. In this paper we give final
                 answers to all those open problems. We are able to say,
                 for each $r$ th differentiable convex function, whether
                 or not its degree of convex polynomial approximation in
                 the uniform norm may be estimated by a Jackson-type
                 estimate involving the weighted Ditzian-Totik $k$ th
                 modulus of smoothness, and how the constants in this
                 estimate behave. It turns out that for some pairs
                 $(k,r)$ we have such estimate with constants depending
                 only on these parameters. For other pairs the estimate
                 is valid, but only with constants that depend on the
                 function being approximated, while there are pairs for
                 which the Jackson-type estimate is, in general,
                 invalid.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Lindstrom:2005:SSC,
  author =       "Mikael Lindstr{\"o}m and Eero Saksman and Hans-Olav
                 Tylli",
  title =        "Strictly Singular and Cosingular Multiplications",
  journal =      j-CAN-J-MATH,
  volume =       "57",
  number =       "??",
  pages =        "1249--1278",
  month =        "????",
  year =         "2005",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2005-050-7",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:12 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v57/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $L(X)$ be the space of bounded linear operators on
                 the Banach space $X$. We study the strict singularity
                 and cosingularity of the two-sided multiplication
                 operators $S mapsto ASB$ on $L(X)$, where $A,B \in
                 L(X)$ are fixed bounded operators and $X$ is a
                 classical Banach space. Let $1 < p < {\infty}$ and $p
                 {\not=} 2$. Our main result establishes that the
                 multiplication $S mapsto ASB$ is strictly singular on
                 $L(L^p (0,1))$ if and only if the non-zero operators
                 $A, B \in L(L^p (0,1))$ are strictly singular. We also
                 discuss the case where $X$ is a $mathcal{L}$^1$$- or a
                 $mathcal{L}$^{{\infty}}$$-space, as well as several
                 other relevant examples.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Maad:2005:SPH,
  author =       "Sara Maad",
  title =        "A Semilinear Problem for the {Heisenberg} {Laplacian}
                 on Unbounded Domains",
  journal =      j-CAN-J-MATH,
  volume =       "57",
  number =       "??",
  pages =        "1279--1290",
  month =        "????",
  year =         "2005",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2005-051-4",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:12 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v57/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We study the semilinear equation - \Delta$_{\mathbb
                 H}$ u({\eta}) + u({\eta}) = f({\eta}, u({\eta})), u \in
                 S$^2_1$ ({\Omega}), where ${\Omega}$ is an unbounded
                 domain of the Heisenberg group $\mathbb H$^N$$, $N
                 {\geq} 1$. The space $S$^2_1$ ({\Omega})$ is the
                 Heisenberg analogue of the Sobolev space $W$_0^{1,2}$
                 ({\Omega})$. The function $f : \overline {\Omega}
                 \times (\mathbb R) {\rightarrow} (\mathbb R)$ is
                 supposed to be odd in $u$, continuous and satisfy some
                 (superlinear but subcritical) growth conditions. The
                 operator $\Delta$_{\mathbb H}$$ is the subelliptic
                 Laplacian on the Heisenberg group. We give a condition
                 on ${\Omega}$ which implies the existence of infinitely
                 many solutions of the above equation. In the proof we
                 rewrite the equation as a variational problem, and show
                 that the corresponding functional satisfies the
                 Palais--Smale condition. This might be quite surprising
                 since we deal with domains which are far from bounded.
                 The technique we use rests on a compactness argument
                 and the maximum principle.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Riveros:2005:DH,
  author =       "Carlos M. C. Riveros and Keti Tenenblat",
  title =        "{Dupin} Hypersurfaces in {$\mathbb R^5$}",
  journal =      j-CAN-J-MATH,
  volume =       "57",
  number =       "??",
  pages =        "1291--1313",
  month =        "????",
  year =         "2005",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2005-052-1",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:12 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v57/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We study Dupin hypersurfaces in $\mathbb R$^5$$
                 parametrized by lines of curvature, with four distinct
                 principal curvatures. We characterize locally a generic
                 family of such hypersurfaces in terms of the principal
                 curvatures and four vector valued functions of one
                 variable. We show that these vector valued functions
                 are invariant by inversions and homotheties.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Zhitomirskii:2005:RDT,
  author =       "M. Zhitomirskii",
  title =        "Relative {Darboux} Theorem for Singular Manifolds and
                 Local Contact Algebra",
  journal =      j-CAN-J-MATH,
  volume =       "57",
  number =       "??",
  pages =        "1314--1340",
  month =        "????",
  year =         "2005",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2005-053-9",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:12 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v57/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "In 1999 V. Arnol'd introduced the local contact
                 algebra: studying the problem of classification of
                 singular curves in a contact space, he showed the
                 existence of the ghost of the contact structure
                 (invariants which are not related to the induced
                 structure on the curve). Our main result implies that
                 the only reason for existence of the local contact
                 algebra and the ghost is the difference between the
                 geometric and (defined in this paper) algebraic
                 restriction of a 1-form to a singular submanifold. We
                 prove that a germ of any subset $N$ of a contact
                 manifold is well defined, up to contactomorphisms, by
                 the algebraic restriction to $N$ of the contact
                 structure. This is a generalization of the
                 Darboux-Givental' theorem for smooth submanifolds of a
                 contact manifold. Studying the difference between the
                 geometric and the algebraic restrictions gives a
                 powerful tool for classification of stratified
                 submanifolds of a contact manifold. This is illustrated
                 by complete solution of three classification problems,
                 including a simple explanation of V. Arnold's results
                 and further classification results for singular curves
                 in a contact space. We also prove several results on
                 the external geometry of a singular submanifold $N$ in
                 terms of the algebraic restriction of the contact
                 structure to $N$. In particular, the algebraic
                 restriction is zero if and only if $N$ is contained in
                 a smooth Legendrian submanifold of $M$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Anonymous:2005:AII,
  author =       "Anonymous",
  title =        "Author Index - Index des auteurs --- for 2005 - pour
                 2005",
  journal =      j-CAN-J-MATH,
  volume =       "57",
  number =       "6",
  pages =        "1341--1344",
  month =        dec,
  year =         "2005",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2005-054-6",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:12 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v57/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Said:2006:FEZ,
  author =       "Salem Ben Sa{\"\i}d",
  title =        "The Functional Equation of Zeta Distributions
                 Associated With Non-{Euclidean} {Jordan} Algebras",
  journal =      j-CAN-J-MATH,
  volume =       "58",
  number =       "??",
  pages =        "3--22",
  month =        "????",
  year =         "2006",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2006-001-7",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:13 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v58/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "This paper is devoted to the study of certain zeta
                 distributions associated with simple non-Euclidean
                 Jordan algebras. An explicit form of the corresponding
                 functional equation and Bernstein-type identities is
                 obtained.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Dabbaghian-Abdoly:2006:CRF,
  author =       "Vahid Dabbaghian-Abdoly",
  title =        "Constructing Representations of Finite Simple Groups
                 and Covers",
  journal =      j-CAN-J-MATH,
  volume =       "58",
  number =       "??",
  pages =        "23--38",
  month =        "????",
  year =         "2006",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2006-002-3",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:13 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v58/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $G$ be a finite group and $chi$ be an irreducible
                 character of $G$. An efficient and simple method to
                 construct representations of finite groups is
                 applicable whenever $G$ has a subgroup $H$ such that
                 $chi$_H$$ has a linear constituent with multiplicity 1.
                 In this paper we show (with a few exceptions) that if
                 $G$ is a simple group or a covering group of a simple
                 group and $chi$ is an irreducible character of $G$ of
                 degree less than 32, then there exists a subgroup $H$
                 (often a Sylow subgroup) of $G$ such that $chi$_H$$ has
                 a linear constituent with multiplicity 1.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Exel:2006:AID,
  author =       "R. Exel and A. Vershik",
  title =        "{$C^*$}-Algebras of Irreversible Dynamical Systems",
  journal =      j-CAN-J-MATH,
  volume =       "58",
  number =       "??",
  pages =        "39--63",
  month =        "????",
  year =         "2006",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2006-003-x",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:13 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v58/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We show that certain $C$^*$$-algebras which have been
                 studied by, among others, Arzumanian, Vershik, Deaconu,
                 and Renault, in connection with a measure-preserving
                 transformation of a measure space or a covering map of
                 a compact space, are special cases of the endomorphism
                 crossed-product construction recently introduced by the
                 first named author. As a consequence these algebras are
                 given presentations in terms of generators and
                 relations. These results come as a consequence of a
                 general theorem on faithfulness of representations
                 which are covariant with respect to certain circle
                 actions. For the case of topologically free covering
                 maps we prove a stronger result on faithfulness of
                 representations which needs no covariance. We also give
                 a necessary and sufficient condition for simplicity.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Filippakis:2006:MRN,
  author =       "Michael Filippakis and Leszek Gasi{\'n}ski and
                 Nikolaos S. Papageorgiou",
  title =        "Multiplicity Results for Nonlinear {Neumann}
                 Problems",
  journal =      j-CAN-J-MATH,
  volume =       "58",
  number =       "??",
  pages =        "64--92",
  month =        "????",
  year =         "2006",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2006-004-6",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:13 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v58/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "In this paper we study nonlinear elliptic problems of
                 Neumann type driven by the $p$-Laplacian differential
                 operator. We look for situations guaranteeing the
                 existence of multiple solutions. First we study
                 problems which are strongly resonant at infinity at the
                 first (zero) eigenvalue. We prove five multiplicity
                 results, four for problems with nonsmooth potential and
                 one for problems with a $C$^1$$-potential. In the last
                 part, for nonsmooth problems in which the potential
                 eventually exhibits a strict super- $p$-growth under a
                 symmetry condition, we prove the existence of
                 infinitely many pairs of nontrivial solutions. Our
                 approach is variational based on the critical point
                 theory for nonsmooth functionals. Also we present some
                 results concerning the first two elements of the
                 spectrum of the negative $p$-Laplacian with Neumann
                 boundary condition.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Gordon:2006:MHM,
  author =       "Julia Gordon",
  title =        "{Motivic} {Haar} Measure on Reductive Groups",
  journal =      j-CAN-J-MATH,
  volume =       "58",
  number =       "??",
  pages =        "93--114",
  month =        "????",
  year =         "2006",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2006-005-2",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:13 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v58/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We define a motivic analogue of the Haar measure for
                 groups of the form $G(k((t)))$, where $k$ is an
                 algebraically closed field of characteristic zero, and
                 $G$ is a reductive algebraic group defined over $k$. A
                 classical Haar measure on such groups does not exist
                 since they are not locally compact. We use the theory
                 of motivic integration introduced by M. Kontsevich to
                 define an additive function on a certain natural
                 Boolean algebra of subsets of $G(k((t)))$. This
                 function takes values in the so-called dimensional
                 completion of the Grothendieck ring of the category of
                 varieties over the base field. It is invariant under
                 translations by all elements of $G(k((t)))$, and
                 therefore we call it a motivic analogue of Haar
                 measure. We give an explicit construction of the
                 motivic Haar measure, and then prove that the result is
                 independent of all the choices that are made in the
                 process.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Ivorra:2006:QRE,
  author =       "W. Ivorra and A. Kraus",
  title =        "Quelques r{\'e}sultats sur les {\'e}quations $ax^p +
                 by^p = cz^2$. ({French}) [{Some} results for the
                 equations $ax^p + by^p = cz^2$]",
  journal =      j-CAN-J-MATH,
  volume =       "58",
  number =       "??",
  pages =        "115--153",
  month =        "????",
  year =         "2006",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2006-006-9",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:13 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v58/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $p$ be a prime number ${\geq} 5$ and $a, b, c$ be
                 non zero natural numbers. Using the works of K. Ribet
                 and A. Wiles on the modular representations, we get new
                 results about the description of the primitive
                 solutions of the diophantine equation $ax^p + by^p =
                 cz$^2$$, in case the product of the prime divisors of
                 $abc$ divides $2 ell$, with $ell$ an odd prime number.
                 For instance, under some conditions on $a, b, c$, we
                 provide a constant $f(a,b,c)$ such that there are no
                 such solutions if $p > f(a,b,c)$. In application, we
                 obtain information concerning the $\mathbb Q$-rational
                 points of hyperelliptic curves given by the equation
                 $y$^2$ = x^p + d$ with $d \in {\mathbb Z}$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
  language =     "French",
}

@Article{Prestini:2006:SIP,
  author =       "Elena Prestini",
  title =        "Singular Integrals on Product Spaces Related to the
                 {Carleson} Operator",
  journal =      j-CAN-J-MATH,
  volume =       "58",
  number =       "??",
  pages =        "154--179",
  month =        "????",
  year =         "2006",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2006-007-5",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:13 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v58/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We prove $L^p (\mathbb T$^2$)$ boundedness, $1 < p
                 {\leq} 2$, of variable coefficients singular integrals
                 that generalize the double Hilbert transform and
                 present two phases that may be of very rough nature.
                 These operators are involved in problems of a.e.
                 convergence of double Fourier series, likely in the
                 role played by the Hilbert transform in the proofs of
                 a.e. convergence of one dimensional Fourier series. The
                 proof due to C.Fefferman provides a basis for our
                 method.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Reiten:2006:IDR,
  author =       "Idun Reiten and Claus Michael Ringel",
  title =        "Infinite Dimensional Representations of Canonical
                 Algebras",
  journal =      j-CAN-J-MATH,
  volume =       "58",
  number =       "??",
  pages =        "180--224",
  month =        "????",
  year =         "2006",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2006-008-1",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:13 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v58/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "The aim of this paper is to extend the structure
                 theory for infinitely generated modules over tame
                 hereditary algebras to the more general case of modules
                 over concealed canonical algebras. Using tilting, we
                 may assume that we deal with canonical algebras. The
                 investigation is centered around the generic and the
                 Pr{\"u}fer modules, and how other modules are
                 determined by these modules.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Azam:2006:GRL,
  author =       "Saeid Azam",
  title =        "Generalized Reductive {Lie} Algebras: Connections With
                 Extended Affine {Lie} Algebras and {Lie} Tori",
  journal =      j-CAN-J-MATH,
  volume =       "58",
  number =       "??",
  pages =        "225--248",
  month =        "????",
  year =         "2006",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2006-009-8",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:13 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v58/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We investigate a class of Lie algebras which we call
                 $generalized reductive Lie algebras$. These are
                 generalizations of semi-simple, reductive, and affine
                 Kac--Moody Lie algebras. A generalized reductive Lie
                 algebra which has an irreducible root system is said to
                 be $irreducible$ and we note that this class of
                 algebras has been under intensive investigation in
                 recent years. They have also been called $extended
                 affine Lie algebras$. The larger class of generalized
                 reductive Lie algebras has not been so intensively
                 investigated. We study them in this paper and note that
                 one way they arise is as fixed point subalgebras of
                 finite order automorphisms. We show that the core
                 modulo the center of a generalized reductive Lie
                 algebra is a direct sum of centerless Lie tori.
                 Therefore one can use the results known about the
                 classification of centerless Lie tori to classify the
                 cores modulo centers of generalized reductive Lie
                 algebras.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Hernandez:2006:CFP,
  author =       "M. Bello Hern{\'a}ndez and J. M{\'\i}nguez Ceniceros",
  title =        "Convergence of {Fourier--Pad{\'e}} Approximants for
                 {Stieltjes} Functions",
  journal =      j-CAN-J-MATH,
  volume =       "58",
  number =       "??",
  pages =        "249--261",
  month =        "????",
  year =         "2006",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2006-010-7",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:13 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v58/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We prove convergence of diagonal multipoint Pad{\'e}
                 approximants of Stieltjes-type functions when a certain
                 moment problem is determinate. This is used for the
                 study of the convergence of Fourier--Pad{\'e} and
                 nonlinear Fourier--Pad{\'e} approximants for such type
                 of functions.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Biswas:2006:CPP,
  author =       "Indranil Biswas",
  title =        "Connections on a Parabolic Principal Bundle Over a
                 Curve",
  journal =      j-CAN-J-MATH,
  volume =       "58",
  number =       "??",
  pages =        "262--281",
  month =        "????",
  year =         "2006",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2006-011-4",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:13 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v58/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "The aim here is to define connections on a parabolic
                 principal bundle. Some applications are given.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Fels:2006:NRH,
  author =       "M. E. Fels and A. G. Renner",
  title =        "Non-reductive Homogeneous Pseudo-{Riemannian}
                 Manifolds of Dimension Four",
  journal =      j-CAN-J-MATH,
  volume =       "58",
  number =       "??",
  pages =        "282--311",
  month =        "????",
  year =         "2006",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2006-012-1",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:13 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v58/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "A method, due to {\'E}lie Cartan, is used to give an
                 algebraic classification of the non-reductive
                 homogeneous pseudo-Riemannian manifolds of dimension
                 four. Only one case with Lorentz signature can be
                 Einstein without having constant curvature, and two
                 cases with $(2,2)$ signature are Einstein of which one
                 is Ricci-flat. If a four-dimensional non-reductive
                 homogeneous pseudo-Riemannian manifold is simply
                 connected, then it is shown to be diffeomorphic to
                 ${\mathbb R}$^4$$. All metrics for the simply connected
                 non-reductive Einstein spaces are given explicitly.
                 There are no non-reductive pseudo-Riemannian
                 homogeneous spaces of dimension two and none of
                 dimension three with connected isotropy subgroup.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Gamblin:2006:PIR,
  author =       "Didier Gamblin",
  title =        "Partie imaginaire des r{\'e}sonances de {Rayleigh}
                 dans le cas d'une boule. ({French}) [{Imaginary} part
                 of {Rayleigh} resonances in the case of a ball]",
  journal =      j-CAN-J-MATH,
  volume =       "58",
  number =       "??",
  pages =        "312--343",
  month =        "????",
  year =         "2006",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2006-013-9",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:13 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v58/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Nous {\'e}tudions les r{\'e}sonances de Rayleigh
                 cr{\'e}{\'e}es par une boule en dimension deux et
                 trois. Nous savons qu'elles convergent
                 exponentiellement vite vers l'axe r{\'e}el. Nous
                 calculons exactement les fonctions r{\'e}sonantes
                 associ{\'e}es puis nous les estimons asymptotiquement
                 en fonction de la partie r{\'e}elle des r{\'e}sonances.
                 L'application de la formule de Green nous donne alors
                 le taux de d{\'e}croissance exponentielle de la partie
                 imaginaire des r{\'e}sonances.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
  language =     "French",
}

@Article{Goldberg:2006:RGE,
  author =       "David Goldberg",
  title =        "Reducibility for {$SU_n$} and Generic Elliptic
                 Representations",
  journal =      j-CAN-J-MATH,
  volume =       "58",
  number =       "??",
  pages =        "344--361",
  month =        "????",
  year =         "2006",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2006-014-6",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:13 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v58/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We study reducibility of representations parabolically
                 induced from discrete series representations of $SU$_n$
                 (F)$ for $F$ a $p$-adic field of characteristic zero.
                 We use the approach of studying the relation between
                 $R$-groups when a reductive subgroup of a quasi-split
                 group and the full group have the same derived group.
                 We use restriction to show the quotient of $R$-groups
                 is in natural bijection with a group of characters.
                 Applying this to $SU$_n$ (F) subset U$_n$ (F)$ we show
                 the $R$ group for $SU$_n$$ is the semidirect product of
                 an $R$-group for $U$_n$ (F)$ and this group of
                 characters. We derive results on non-abelian $R$-groups
                 and generic elliptic representations as well.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Goldin:2006:CPS,
  author =       "R. F. Goldin and S. Martin",
  title =        "Cohomology Pairings on the Symplectic Reduction of
                 Products",
  journal =      j-CAN-J-MATH,
  volume =       "58",
  number =       "??",
  pages =        "362--380",
  month =        "????",
  year =         "2006",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2006-015-3",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:13 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v58/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $M$ be the product of two compact Hamiltonian
                 $T$-spaces $X$ and $Y$. We present a formula for
                 evaluating integrals on the symplectic reduction of $M$
                 by the diagonal $T$ action. At every regular value of
                 the moment map for $X times Y$, the integral is the
                 convolution of two distributions associated to the
                 symplectic reductions of $X$ by $T$ and of $Y$ by $T$.
                 Several examples illustrate the computational strength
                 of this relationship. We also prove a linear analogue
                 which can be used to find cohomology pairings on toric
                 orbifolds.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Jakobson:2006:EMF,
  author =       "Dmitry Jakobson and Nikolai Nadirashvili and Iosif
                 Polterovich",
  title =        "Extremal Metric for the First Eigenvalue on a {Klein}
                 Bottle",
  journal =      j-CAN-J-MATH,
  volume =       "58",
  number =       "??",
  pages =        "381--400",
  month =        "????",
  year =         "2006",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2006-016-0",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:13 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v58/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "The first eigenvalue of the Laplacian on a surface can
                 be viewed as a functional on the space of Riemannian
                 metrics of a given area. Critical points of this
                 functional are called extremal metrics. The only known
                 extremal metrics are a round sphere, a standard
                 projective plane, a Clifford torus and an equilateral
                 torus. We construct an extremal metric on a Klein
                 bottle. It is a metric of revolution, admitting a
                 minimal isometric embedding into a sphere ${\mathbb
                 S}$^4$$ by the first eigenfunctions. Also, this Klein
                 bottle is a bipolar surface for Lawson's
                 $tau$_{3,1}$$-torus. We conjecture that an extremal
                 metric for the first eigenvalue on a Klein bottle is
                 unique, and hence it provides a sharp upper bound for
                 $lambda$_1$$ on a Klein bottle of a given area. We
                 present numerical evidence and prove the first results
                 towards this conjecture.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Kolountzakis:2006:PEP,
  author =       "Mihail N. Kolountzakis and Szil{\'a}rd Gy.
                 R{\'e}v{\'e}sz",
  title =        "On Pointwise Estimates of Positive Definite Functions
                 With Given Support",
  journal =      j-CAN-J-MATH,
  volume =       "58",
  number =       "??",
  pages =        "401--418",
  month =        "????",
  year =         "2006",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2006-017-8",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:13 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v58/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "The following problem has been suggested by Paul
                 Tur{\'a}n. Let $\Omega$ be a symmetric convex body in
                 the Euclidean space ${\mathbb R}$^d$$ or in the torus
                 ${\mathbb T}$^d$$. Then, what is the largest possible
                 value of the integral of positive definite functions
                 that are supported in $\Omega$ and normalized with the
                 value 1 at the origin? From this, Arestov, Berdysheva
                 and Berens arrived at the analogous pointwise extremal
                 problem for intervals in ${\mathbb R}$. That is, under
                 the same conditions and normalizations, the supremum of
                 possible function values at $z$ is to be found for any
                 given point $z \in \Omega$. However, it turns out that
                 the problem for the real line has already been solved
                 by Boas and Kac, who gave several proofs and also
                 mentioned possible extensions to ${\mathbb R}$^d$$ and
                 to non-convex domains as well. Here we present another
                 approach to the problem, giving the solution in
                 ${\mathbb R}$^d$$ and for several cases in ${\mathbb
                 T}$^d$$. Actually, we elaborate on the fact that the
                 problem is essentially one-dimensional and investigate
                 non-convex open domains as well. We show that the
                 extremal problems are equivalent to some more familiar
                 ones concerning trigonometric polynomials, and thus
                 find the extremal values for a few cases. An analysis
                 of the relationship between the problem for ${\mathbb
                 R}$^d$$ and that for ${\mathbb T}$^d$$ is given,
                 showing that the former case is just the limiting case
                 of the latter. Thus the hierarchy of difficulty is
                 established, so that extremal problems for
                 trigonometric polynomials gain renewed recognition.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Snaith:2006:SCN,
  author =       "Victor P. Snaith",
  title =        "{Stark}'s Conjecture and New {Stickelberger}
                 Phenomena",
  journal =      j-CAN-J-MATH,
  volume =       "58",
  number =       "??",
  pages =        "419--448",
  month =        "????",
  year =         "2006",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2006-018-5",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:13 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v58/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We introduce a new conjecture concerning the
                 construction of elements in the annihilator ideal
                 associated to a Galois action on the higher-dimensional
                 algebraic $K$-groups of rings of integers in number
                 fields. Our conjecture is motivic in the sense that it
                 involves the (transcendental) Borel regulator as well
                 as being related to $l$-adic {\'e}tale cohomology. In
                 addition, the conjecture generalises the well-known
                 Coates--Sinnott conjecture. For example, for a totally
                 real extension when $r = -2, -4, -6, ...$ the
                 Coates--Sinnott conjecture merely predicts that zero
                 annihilates $K$_{-2r}$$ of the ring of $S$-integers
                 while our conjecture predicts a non-trivial
                 annihilator. By way of supporting evidence, we prove
                 the corresponding (conjecturally equivalent) conjecture
                 for the Galois action on the {\'e}tale cohomology of
                 the cyclotomic extensions of the rationals.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Agarwal:2006:EMP,
  author =       "Ravi P. Agarwal and Daomin Cao and Haishen L{\"u} and
                 Donal O'Regan",
  title =        "Existence and Multiplicity of Positive Solutions for
                 Singular Semipositone $p$-{Laplacian} Equations",
  journal =      j-CAN-J-MATH,
  volume =       "58",
  number =       "??",
  pages =        "449--475",
  month =        "????",
  year =         "2006",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2006-019-2",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:13 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v58/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Positive solutions are obtained for the boundary value
                 problem -( | $u$ '|$^{p - 2}$ $u$ ')' = lambda $f$ (
                 $t$, $u$), $t$ \in (0, 1), $p$ > 1 $u$ (0) = $u$ (1) =
                 0. Here $f$ ( $t$, $u$) \geq - $M$, ( $M$ is a positive
                 constant) for ( $t$, $u$) \in [0,1] x (0, \infty). We
                 will show the existence of two positive solutions by
                 using degree theory together with the upper-lower
                 solution method.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Chipalkatti:2006:ASA,
  author =       "Jaydeep Chipalkatti",
  title =        "Apolar Schemes of Algebraic Forms",
  journal =      j-CAN-J-MATH,
  volume =       "58",
  number =       "??",
  pages =        "476--491",
  month =        "????",
  year =         "2006",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2006-020-3",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:13 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v58/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "This is a note on the classical Waring's problem for
                 algebraic forms. Fix integers $(n,d,r,s)$, and let
                 $Lambda$ be a general $r$-dimensional subspace of
                 degree $d$ homogeneous polynomials in $n + 1$
                 variables. Let $mathcal{A}$ denote the variety of
                 $s$-sided polar polyhedra of $Lambda$. We carry out a
                 case-by-case study of the structure of $mathcal{A}$ for
                 several specific values of $(n,d,r,s)$. In the first
                 batch of examples, $mathcal{A}$ is shown to be a
                 rational variety. In the second batch, $mathcal{A}$ is
                 a finite set of which we calculate the cardinality.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Chua:2006:ETW,
  author =       "Seng-Kee Chua",
  title =        "Extension Theorems on Weighted {Sobolev} Spaces and
                 Some Applications",
  journal =      j-CAN-J-MATH,
  volume =       "58",
  number =       "??",
  pages =        "492--528",
  month =        "????",
  year =         "2006",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2006-021-0",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:13 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v58/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We extend the extension theorems to weighted Sobolev
                 spaces $L$^p_{w,k}$ (\mathcal D)$ on $(varepsilon,
                 \delta)$ domains with doubling weight $w$ that
                 satisfies a Poincar{\'e} inequality and such that
                 $w$^{-1/p}$$ is locally $L$^{p'}$$. We also make use of
                 the main theorem to improve weighted Sobolev
                 interpolation inequalities.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Dijkstra:2006:GHR,
  author =       "Jan J. Dijkstra and Jan van Mill",
  title =        "On the Group of Homeomorphisms of the Real Line That
                 Map the Pseudoboundary Onto Itself",
  journal =      j-CAN-J-MATH,
  volume =       "58",
  number =       "??",
  pages =        "529--547",
  month =        "????",
  year =         "2006",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2006-022-8",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:13 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v58/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "In this paper we primarily consider two natural
                 subgroups of the autohomeomorphism group of the real
                 line $\mathbb{R}$, endowed with the compact-open
                 topology. First, we prove that the subgroup of
                 homeomorphisms that map the set of rational numbers
                 $\mathbb{Q}$ onto itself is homeomorphic to the
                 infinite power of $\mathbb{Q}$ with the product
                 topology. Secondly, the group consisting of
                 homeomorphisms that map the pseudoboundary onto itself
                 is shown to be homeomorphic to the hyperspace of
                 nonempty compact subsets of $\mathbb{Q}$ with the
                 Vietoris topology. We obtain similar results for the
                 Cantor set but we also prove that these results do not
                 extend to $\mathbb{R}$^n$$ for $n geq 2$, by linking
                 the groups in question with Erd{\"o}s space.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Galanopoulos:2006:HQH,
  author =       "P. Galanopoulos and M. Papadimitrakis",
  title =        "{Hausdorff} and Quasi-{Hausdorff} Matrices on Spaces
                 of Analytic Functions",
  journal =      j-CAN-J-MATH,
  volume =       "58",
  number =       "??",
  pages =        "548--579",
  month =        "????",
  year =         "2006",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2006-023-5",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:13 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v58/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We consider Hausdorff and quasi-Hausdorff matrices as
                 operators on classical spaces of analytic functions
                 such as the Hardy and the Bergman spaces, the Dirichlet
                 space, the Bloch spaces and BMOA. When the generating
                 sequence of the matrix is the moment sequence of a
                 measure $mu$, we find the conditions on $mu$ which are
                 equivalent to the boundedness of the matrix on the
                 various spaces.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Greither:2006:ACG,
  author =       "Cornelius Greither and Radan Kucera",
  title =        "Annihilators for the Class Group of a Cyclic Field of
                 Prime Power Degree, {II}",
  journal =      j-CAN-J-MATH,
  volume =       "58",
  number =       "??",
  pages =        "580--599",
  month =        "????",
  year =         "2006",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2006-024-2",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:13 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v58/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We prove, for a field $K$ which is cyclic of odd prime
                 power degree over the rationals, that the annihilator
                 of the quotient of the units of $K$ by a suitable large
                 subgroup (constructed from circular units) annihilates
                 what we call the non-genus part of the class group.
                 This leads to stronger annihilation results for the
                 whole class group than a routine application of the
                 Rubin--Thaine method would produce, since the part of
                 the class group determined by genus theory has an
                 obvious large annihilator which is not detected by that
                 method; this is our reason for concentrating on the
                 non-genus part. The present work builds on and
                 strengthens previous work of the authors; the proofs
                 are more conceptual now, and we are also able to
                 construct an example which demonstrates that our
                 results cannot be easily sharpened further.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Martinez-Maure:2006:GSM,
  author =       "Yves Martinez-Maure",
  title =        "Geometric Study of {Minkowski} Differences of Plane
                 Convex Bodies",
  journal =      j-CAN-J-MATH,
  volume =       "58",
  number =       "??",
  pages =        "600--624",
  month =        "????",
  year =         "2006",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2006-025-x",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:13 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v58/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "In the Euclidean plane $\mathbb{R}$^2$$, we define the
                 Minkowski difference $mathcal{K} - mathcal{L}$ of two
                 arbitrary convex bodies $mathcal{K}$, $mathcal{L}$ as a
                 rectifiable closed curve $mathcal{H}$_h$ \subset
                 \mathbb{R}$^2$$ that is determined by the difference $h
                 = h$_{mathcal{K}}$- h$_{mathcal{L}}$$ of their support
                 functions. This curve $mathcal{H}$_h$$ is called the
                 hedgehog with support function $h$. More generally, the
                 object of hedgehog theory is to study the
                 Brunn--Minkowski theory in the vector space of
                 Minkowski differences of arbitrary convex bodies of
                 Euclidean space $\mathbb{R}$^{n + 1}$$, defined as
                 (possibly singular and self-intersecting) hypersurfaces
                 of $\mathbb{R}$^{n + 1}$$. Hedgehog theory is useful
                 for: (i) studying convex bodies by splitting them into
                 a sum in order to reveal their structure; (ii)
                 converting analytical problems into geometrical ones by
                 considering certain real functions as support
                 functions. The purpose of this paper is to give a
                 detailed study of plane hedgehogs, which constitute the
                 basis of the theory. In particular: (i) we study their
                 length measures and solve the extension of the
                 Christoffel--Minkowski problem to plane hedgehogs; (ii)
                 we characterize support functions of plane convex
                 bodies among support functions of plane hedgehogs and
                 support functions of plane hedgehogs among continuous
                 functions; (iii) we study the mixed area of hedgehogs
                 in $\mathbb{R}$^2$$ and give an extension of the
                 classical Minkowski inequality (and thus of the
                 isoperimetric inequality) to hedgehogs.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Mohrdieck:2006:SCS,
  author =       "Stephan Mohrdieck",
  title =        "A {Steinberg} Cross Section for Non-Connected Affine
                 {Kac--Moody} Groups",
  journal =      j-CAN-J-MATH,
  volume =       "58",
  number =       "??",
  pages =        "625--642",
  month =        "????",
  year =         "2006",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2006-026-7",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:13 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v58/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "In this paper we generalise the concept of a Steinberg
                 cross section to non-connected affine Kac--Moody
                 groups. This Steinberg cross section is a section to
                 the restriction of the adjoint quotient map to a given
                 exterior connected component of the affine Kac--Moody
                 group. (The adjoint quotient is only defined on a
                 certain submonoid of the entire group, however, the
                 intersection of this submonoid with each connected
                 component is non-void.) The image of the Steinberg
                 cross section consists of a {``twisted Coxeter cell''},
                 a transversal slice to a twisted Coxeter element. A
                 crucial point in the proof of the main result is that
                 the image of the cross section can be endowed with a
                 $\mathbb{C}$^*$$-action.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Yu:2006:CTC,
  author =       "Xiaoxiang Yu",
  title =        "Centralizers and Twisted Centralizers: Application to
                 Intertwining Operators",
  journal =      j-CAN-J-MATH,
  volume =       "58",
  number =       "??",
  pages =        "643--672",
  month =        "????",
  year =         "2006",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2006-027-4",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:13 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v58/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "The equality of the centralizer and twisted
                 centralizer is proved based on a case-by-case analysis
                 when the unipotent radical of a maximal parabolic
                 subgroup is abelian. Then this result is used to
                 determine the poles of intertwining operators.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Bart:2006:GCC,
  author =       "Anneke Bart and Kevin P. Scannell",
  title =        "The Generalized Cuspidal Cohomology Problem",
  journal =      j-CAN-J-MATH,
  volume =       "58",
  number =       "??",
  pages =        "673--690",
  month =        "????",
  year =         "2006",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2006-028-1",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:13 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v58/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $\Gamma \subset {\mathbb SO}(3,1)$ be a lattice.
                 The well known $bending deformations$, introduced by
                 linebreak Thurston and Apanasov, can be used to
                 construct non-trivial curves of representations of
                 $\Gamma$ into ${\mathbb SO}(4,1)$ when $\Gamma
                 \backslash H$^3$$ contains an embedded totally geodesic
                 surface. A tangent vector to such a curve is given by a
                 non-zero group cohomology class in $H$^1$ (\Gamma,
                 R$^4_1$)$. Our main result generalizes this
                 construction of cohomology to the context of
                 {``branched''} totally geodesic surfaces. We also
                 consider a natural generalization of the famous
                 cuspidal cohomology problem for the Bianchi groups (to
                 coefficients in non-trivial representations), and
                 perform calculations in a finite range. These
                 calculations lead directly to an interesting example of
                 a link complement in $S$^3$$ which is not
                 infinitesimally rigid in ${\mathbb SO}(4,1)$. The first
                 order deformations of this link complement are
                 supported on a piecewise totally geodesic 2-complex.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Bendikov:2006:HBI,
  author =       "A. Bendikov and L. Saloff-Coste",
  title =        "Hypoelliptic Bi-Invariant {Laplacians} on Infinite
                 Dimensional Compact Groups",
  journal =      j-CAN-J-MATH,
  volume =       "58",
  number =       "??",
  pages =        "691--725",
  month =        "????",
  year =         "2006",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2006-029-9",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:13 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v58/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "On a compact connected group $G$, consider the
                 infinitesimal generator $-L$ of a central symmetric
                 Gaussian convolution semigroup $(mu$_t$)$_{t > 0}$$.
                 Using appropriate notions of distribution and smooth
                 function spaces, we prove that $L$ is hypoelliptic if
                 and only if $(mu$_t$)$_{t > 0}$$ is absolutely
                 continuous with respect to Haar measure and admits a
                 continuous density $x \mapsto mu$_t$ (x)$, $t > 0$,
                 such that $lim$_{t rightarrow 0}$ t log mu$_t$ (e) =
                 0$. In particular, this condition holds if and only if
                 any Borel measure $u$ which is solution of $Lu = 0$ in
                 an open set $\Omega$ can be represented by a continuous
                 function in $\Omega$. Examples are discussed.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Chiang:2006:VDT,
  author =       "Yik-Man Chiang and Mourad E. H. Ismail",
  title =        "On Value Distribution Theory of Second Order Periodic
                 {ODE}s, Special Functions and Orthogonal Polynomials",
  journal =      j-CAN-J-MATH,
  volume =       "58",
  number =       "4",
  pages =        "726--767",
  month =        aug,
  year =         "2006",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2006-030-x",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:13 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v58/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  note =         "See \cite{Chiang:2010:EVD}.",
  abstract =     "We show that the value distribution (complex
                 oscillation) of solutions of certain periodic second
                 order ordinary differential equations studied by Bank,
                 Laine and Langley is closely related to confluent
                 hypergeometric functions, Bessel functions and Bessel
                 polynomials. As a result, we give a complete
                 characterization of the zero-distribution in the sense
                 of Nevanlinna theory of the solutions for two classes
                 of the ODEs. Our approach uses special functions and
                 their asymptotics. New results concerning finiteness of
                 the number of zeros (finite-zeros) problem of Bessel
                 and Coulomb wave functions with respect to the
                 parameters are also obtained as a consequence. We
                 demonstrate that the problem for the remaining class of
                 ODEs not covered by the above {``special function
                 approach''} can be described by a classical Heine
                 problem for differential equations that admit
                 polynomial solutions.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Hu:2006:DNA,
  author =       "Zhiguo Hu and Matthias Neufang",
  title =        "Decomposability of {von Neumann} Algebras and the
                 {Mazur} Property of Higher Level",
  journal =      j-CAN-J-MATH,
  volume =       "58",
  number =       "??",
  pages =        "768--795",
  month =        "????",
  year =         "2006",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2006-031-7",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:13 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v58/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "The decomposability number of a von Neumann algebra
                 $\cal M$ (denoted by $dec(\cal M)$) is the greatest
                 cardinality of a family of pairwise orthogonal non-zero
                 projections in $\cal M$. In this paper, we explore the
                 close connection between $dec(\cal M)$ and the cardinal
                 level of the Mazur property for the predual $\cal
                 M$_*$$ of $\cal M$, the study of which was initiated by
                 the second author. Here, our main focus is on those von
                 Neumann algebras whose preduals constitute such
                 important Banach algebras on a locally compact group
                 $G$ as the group algebra $L$_1$ (G)$, the Fourier
                 algebra $A(G)$, the measure algebra $M(G)$, the algebra
                 $LUC(G)$^*$$, etc. We show that for any of these von
                 Neumann algebras, say $\cal M$_0$$, the cardinal number
                 $dec(\cal M)$ and a certain cardinal level of the Mazur
                 property of $(cal M)$_*$$ are completely encoded in the
                 underlying group structure. In fact, they can be
                 expressed precisely by two dual cardinal invariants of
                 $G$: the compact covering number $$_{\cal K}$ (G)$ of
                 $G$ and the least cardinality $$_{\cal X}$ (G)$ of an
                 open basis at the identity of $G$. We also present an
                 application of the Mazur property of higher level to
                 the topological centre problem for the Banach algebra
                 $A(G)$^{**}$$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Im:2006:MWG,
  author =       "Bo-Hae Im",
  title =        "{Mordell--Weil} Groups and the Rank of Elliptic Curves
                 over Large Fields",
  journal =      j-CAN-J-MATH,
  volume =       "58",
  number =       "??",
  pages =        "796--819",
  month =        "????",
  year =         "2006",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2006-032-4",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:13 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v58/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $K$ be a number field, $\overline {K}$ an
                 algebraic closure of $K$ and $E/K$ an elliptic curve
                 defined over $K$. In this paper, we prove that if $E/K$
                 has a $K$-rational point $P$ such that $2P \neq O$ and
                 $3P \neq O$, then for each $\sigma \in Gal(\overline
                 {K}/K)$, the Mordell--Weil group $E(\overline
                 {K}$^{\sigma}$)$ of $E$ over the fixed subfield of
                 $\overline {K}$ under $\sigma$ has infinite rank.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Moreno:2006:DMC,
  author =       "J. P. Moreno and P. L. Papini and R. R. Phelps",
  title =        "Diametrically Maximal and Constant Width Sets in
                 {Banach} Spaces",
  journal =      j-CAN-J-MATH,
  volume =       "58",
  number =       "??",
  pages =        "820--842",
  month =        "????",
  year =         "2006",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2006-033-1",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:13 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v58/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We characterize diametrically maximal and constant
                 width sets in $C(K)$, where $K$ is any compact
                 Hausdorff space. These results are applied to prove
                 that the sum of two diametrically maximal sets needs
                 not be diametrically maximal, thus solving a question
                 raised in a paper by Groemer. A characterization of
                 diametrically maximal sets in $ell$_1^3$$ is also
                 given, providing a negative answer to Groemer's problem
                 in finite dimensional spaces. We characterize constant
                 width sets in $c$_0$ (I)$, for every $I$, and then we
                 establish the connections between the Jung constant of
                 a Banach space and the existence of constant width sets
                 with empty interior. Porosity properties of families of
                 sets of constant width and rotundity properties of
                 diametrically maximal sets are also investigated.
                 Finally, we present some results concerning
                 non-reflexive and Hilbert spaces.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Ozluk:2006:OLD,
  author =       "A. E. {\~O}zl{\"u}k and C. Snyder",
  title =        "On the One-Level Density Conjecture for Quadratic
                 {Dirichlet} {L}-Functions",
  journal =      j-CAN-J-MATH,
  volume =       "58",
  number =       "??",
  pages =        "843--858",
  month =        "????",
  year =         "2006",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2006-034-9",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:13 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v58/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "In a previous article, we studied the distribution of
                 {``low-lying''} zeros of the family of quadratic
                 Dirichlet $L$-functions assuming the Generalized
                 Riemann Hypothesis for all Dirichlet $L$-functions.
                 Even with this very strong assumption, we were limited
                 to using weight functions whose Fourier transforms are
                 supported in the interval $(-2,2)$. However, it is
                 widely believed that this restriction may be removed,
                 and this leads to what has become known as the
                 One-Level Density Conjecture for the zeros of this
                 family of quadratic $L$-functions. In this note, we
                 make use of Weil's explicit formula as modified by
                 Besenfelder to prove an analogue of this conjecture.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Read:2006:NIN,
  author =       "C. J. Read",
  title =        "Nonstandard Ideals from Nonstandard Dual Pairs for
                 {{$L^1(\omega)$}} and $l^1(\omega)$",
  journal =      j-CAN-J-MATH,
  volume =       "58",
  number =       "??",
  pages =        "859--876",
  month =        "????",
  year =         "2006",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2006-035-6",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:13 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v58/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "The Banach convolution algebras $l$^1$ (\omega)$ and
                 their continuous counterparts $L$^1$ (\mathbb R$^+$,
                 \omega)$ are much studied, because (when the
                 submultiplicative weight function $\omega$ is radical)
                 they are pretty much the prototypic examples of
                 commutative radical Banach algebras. In cases of
                 {``nice''} weights $\omega$, the only closed ideals
                 they have are the obvious, or {``standard''}, ideals.
                 But in the general case, a brilliant but very difficult
                 paper of Marc Thomas shows that nonstandard ideals
                 exist in $l$^1$ (\omega)$. His proof was successfully
                 exported to the continuous case $L$^1$ (\mathbb R$^+$,
                 \omega)$ by Dales and McClure, but remained difficult.
                 In this paper we first present a small improvement: a
                 new and easier proof of the existence of nonstandard
                 ideals in $l$^1$ (\omega)$ and $L$^1$ (\mathbb R$^+$,
                 \omega)$. The new proof is based on the idea of a
                 {``nonstandard dual pair''} which we introduce. We are
                 then able to make a much larger improvement: we find
                 nonstandard ideals in $L$^1$ (\mathbb R$^+$, \omega)$
                 containing functions whose supports extend all the way
                 down to zero in $(\mathbb R$^+$)$, thereby solving what
                 has become a notorious problem in the area.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Selick:2006:FDL,
  author =       "P. Selick and S. Theriault and J. Wu",
  title =        "Functorial Decompositions of Looped Coassociative
                 Co-{$H$} Spaces",
  journal =      j-CAN-J-MATH,
  volume =       "58",
  number =       "??",
  pages =        "877--896",
  month =        "????",
  year =         "2006",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2006-036-3",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:13 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v58/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Selick and Wu gave a functorial decomposition of
                 $\Omega Sigma X$ for path-connected, $p$-local
                 $CW$-complexes $X$ which obtained the smallest
                 nontrivial functorial retract $A$^{min}$ (X)$ of
                 $\Omega Sigma X$. This paper uses methods developed by
                 the second author in order to extend such functorial
                 decompositions to the loops on coassociative co- $H$
                 spaces.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Courtes:2006:DIG,
  author =       "Fran{\c{c}}ois Court{\`e}s",
  title =        "Distributions invariantes sur les groupes
                 r{\'e}ductifs quasi-d{\'e}ploy{\'e}s. ({French})
                 [{Invariant} distributions on quasi-deployed reductive
                 groups]",
  journal =      j-CAN-J-MATH,
  volume =       "58",
  number =       "??",
  pages =        "897--999",
  month =        "????",
  year =         "2006",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2006-037-0",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:13 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v58/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Soit $F$ un corps local non archim{\'e}dien, et $G$ le
                 groupe des $F$-points d'un groupe r{\'e}ductif connexe
                 quasi-d{\'e}ploy{\'e} d{\'e}fini sur $F$. Dans cet
                 article, on s'int{\'e}resse aux distributions sur $G$
                 invariantes par conjugaison, et {\`a} l'espace de leurs
                 restrictions {\`a} l'alg{\`e}bre de Hecke \mathcal{H}
                 des fonctions sur $G$ {\`a} support compact
                 biinvariantes par un sous-groupe d'Iwahori $I$
                 donn{\'e}. On montre tout d'abord que les valeurs d'une
                 telle distribution sur \mathcal{H} sont enti{\`e}rement
                 d{\'e}termin{\'e}es par sa restriction au sous-espace
                 de dimension finie des {\'e}l{\'e}ments de \mathcal{H}
                 {\`a} support dans la r{\'e}union des sous-groupes
                 parahoriques de $G$ contenant $I$. On utilise ensuite
                 cette propri{\'e}t{\'e} pour montrer, moyennant
                 certaines conditions sur $G$, que cet espace est
                 engendr{\'e} d'une part par certaines int{\'e}grales
                 orbitales semi-simples, d'autre part par les
                 int{\'e}grales orbitales unipotentes, en montrant tout
                 d'abord des r{\'e}sultats analogues sur les groupes
                 finis.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
  language =     "French",
}

@Article{Dhillon:2006:CMV,
  author =       "Ajneet Dhillon",
  title =        "On the Cohomology of Moduli of Vector Bundles and the
                 {Tamagawa} Number of {$\SL_n$}",
  journal =      j-CAN-J-MATH,
  volume =       "58",
  number =       "??",
  pages =        "1000--1025",
  month =        "????",
  year =         "2006",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2006-038-8",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:13 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v58/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We compute some Hodge and Betti numbers of the moduli
                 space of stable rank $r$, degree $d$ vector bundles on
                 a smooth projective curve. We do not assume $r$ and $d$
                 are coprime. In the process we equip the cohomology of
                 an arbitrary algebraic stack with a functorial mixed
                 Hodge structure. This Hodge structure is computed in
                 the case of the moduli stack of rank $r$, degree $d$
                 vector bundles on a curve. Our methods also yield a
                 formula for the Poincar{\'e} polynomial of the moduli
                 stack that is valid over any ground field. In the last
                 section we use the previous sections to give a proof
                 that the Tamagawa number of SL$_n$ is one.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Handelman:2006:KRL,
  author =       "David Handelman",
  title =        "{Karamata} Renewed and Local Limit Results",
  journal =      j-CAN-J-MATH,
  volume =       "58",
  number =       "??",
  pages =        "1026--1094",
  month =        "????",
  year =         "2006",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2006-039-5",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:13 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v58/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Connections between behaviour of real analytic
                 functions (with no negative Maclaurin series
                 coefficients and radius of convergence one) on the open
                 unit interval, and to a lesser extent on arcs of the
                 unit circle, are explored, beginning with Karamata's
                 approach. We develop conditions under which the
                 asymptotics of the coefficients are related to the
                 values of the function near 1; specifically, a(n)\sim
                 f(1-1/n)/ \alpha n (for some positive constant \alpha),
                 where f(t)=\sum a(n)t$^n$. In particular, if F=\sum
                 c(n) t$^n$ where c(n) \geq 0 and \sum c(n)=1, then $f$
                 defined as (1-F)^{-1} (the renewal or Green's function
                 for $F$) satisfies this condition if F' does (and a
                 minor additional condition is satisfied). In come
                 cases, we can show that the absolute sum of the
                 differences of consecutive Maclaurin coefficients
                 converges. We also investigate situations in which less
                 precise asymptotics are available.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Sakellaridis:2006:CSF,
  author =       "Yiannis Sakellaridis",
  title =        "A {Casselman--Shalika} Formula for the {Shalika} Model
                 of {$\GL_n$}",
  journal =      j-CAN-J-MATH,
  volume =       "58",
  number =       "??",
  pages =        "1095--1120",
  month =        "????",
  year =         "2006",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2006-040-6",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:13 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v58/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "The Casselman--Shalika method is a way to compute
                 explicit formulas for periods of irreducible unramified
                 representations of $p$-adic groups that are associated
                 to unique models (i.e., multiplicity-free induced
                 representations). We apply this method to the case of
                 the Shalika model of GL$_n$, which is known to
                 distinguish lifts from odd orthogonal groups. In the
                 course of our proof, we further develop a variant of
                 the method, that was introduced by Y. Hironaka, and in
                 effect reduce many such problems to straightforward
                 calculations on the group.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Bownik:2006:FCW,
  author =       "Marcin Bownik and Darrin Speegle",
  title =        "The {Feichtinger} Conjecture for Wavelet Frames,
                 {Gabor} Frames and Frames of Translates",
  journal =      j-CAN-J-MATH,
  volume =       "58",
  number =       "??",
  pages =        "1121--1143",
  month =        "????",
  year =         "2006",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2006-041-3",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:13 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v58/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "The Feichtinger conjecture is considered for three
                 special families of frames. It is shown that if a
                 wavelet frame satisfies a certain weak regularity
                 condition, then it can be written as the finite union
                 of Riesz basic sequences each of which is a wavelet
                 system. Moreover, the above is not true for general
                 wavelet frames. It is also shown that a sup-adjoint
                 Gabor frame can be written as the finite union of Riesz
                 basic sequences. Finally, we show how existing
                 techniques can be applied to determine whether frames
                 of translates can be written as the finite union of
                 Riesz basic sequences. We end by giving an example of a
                 frame of translates such that any Riesz basic
                 subsequence must consist of highly irregular
                 translates.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Hamana:2006:PAN,
  author =       "Masamichi Hamana",
  title =        "Partial $ * $-Automorphisms, Normalizers, and
                 Submodules in Monotone Complete {$C^*$}-Algebras",
  journal =      j-CAN-J-MATH,
  volume =       "58",
  number =       "??",
  pages =        "1144--1202",
  month =        "????",
  year =         "2006",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2006-042-0",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:13 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v58/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "For monotone complete $C$^*$$-algebras $A subset B$
                 with $A$ contained in $B$ as a monotone closed
                 $C$^*$$-subalgebra, the relation $X = AsA$ gives a
                 bijection between the set of all monotone closed linear
                 subspaces $X$ of $B$ such that $AX + XA subset X$ and
                 $XX$^*$ + X$^*$ X subset A$ and a set of certain
                 partial isometries $s$ in the {``normalizer''} of $A$
                 in $B$, and similarly for the map $s mapsto$ Ad $s$
                 between the latter set and a set of certain {``partial
                 $*$-automorphisms''} of $A$. We introduce natural
                 inverse semigroup structures in the set of such $X$ 's
                 and the set of partial $*$-automorphisms of $A$, modulo
                 a certain relation, so that the composition of these
                 maps induces an inverse semigroup homomorphism between
                 them. For a large enough $B$ the homomorphism becomes
                 surjective and all the partial $*$-automorphisms of $A$
                 are realized via partial isometries in $B$. In
                 particular, the inverse semigroup associated with a
                 type II $$_1$$ von Neumann factor, modulo the outer
                 automorphism group, can be viewed as the fundamental
                 group of the factor. We also consider the
                 $C$^*$$-algebra version of these results.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Heiermann:2006:OUP,
  author =       "Volker Heiermann",
  title =        "Orbites unipotentes et p{\^o}les d'ordre maximal de la
                 fonction $\mu$ de {Harish-Chandra}. ({French})
                 [{Unipotent} orbits and poles of maximal order of the
                 {Harish-Chandra} $\mu$ function]",
  journal =      j-CAN-J-MATH,
  volume =       "58",
  number =       "??",
  pages =        "1203--1228",
  month =        "????",
  year =         "2006",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2006-043-8",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:13 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v58/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Dans un travail ant{\'e}rieur, nous avions montr{\'e}
                 que l'induite parabolique (normalis{\'e}e) d'une
                 repr{\'e}sentation irr{\'e}ductible cuspidale $\sigma$
                 d'un sous-groupe de Levi $M$ d'un groupe $p$-adique
                 contient un sous-quotient de carr{\'e} int{\'e}grable,
                 si et seulement si la fonction $mu$ de Harish-Chandra a
                 un p{\^o}le en $\sigma$ d'ordre {\'e}gal au rang
                 parabolique de $M$. L'objet de cet article est
                 d'interpr{\'e}ter ce r{\'e}sultat en termes de
                 fonctorialit{\'e} de Langlands.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
  language =     "French",
}

@Article{Henniart:2006:IOT,
  author =       "Guy Henniart and Bertrand Lemaire",
  title =        "Int{\'e}grales orbitales tordues sur {$\GL(n, F)$} et
                 corps locaux proches: applications. ({French})
                 [{Twisted} orbital integrals on {$\GL(n, F)$} and close
                 local bodies: applications]",
  journal =      j-CAN-J-MATH,
  volume =       "58",
  number =       "??",
  pages =        "1229--1267",
  month =        "????",
  year =         "2006",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2006-044-5",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:13 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v58/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Soient $F$ un corps commutatif localement compact non
                 archim{\'e}dien, $G = GL (n,F)$ pour un entier $n geq
                 2$, et $kappa$ un caract{\`e}re de $F$^x$$ trivial sur
                 $(F$^x$)$^n$$. On prouve une formule pour les
                 $kappa$-int{\'e}grales orbitales r{\'e}guli{\`e}res sur
                 $G$ permettant, si $F$ est de caract{\'e}ristique $ >
                 0$, de les relever {\`a} la caract{\'e}ristique nulle.
                 On en d{\'e}duit deux r{\'e}sultats nouveaux en
                 caract{\'e}ristique $ > 0$: le {``lemme fondamental''}
                 pour l'induction automorphe, et une version simple de
                 la formule des traces tordue locale d'Arthur reliant
                 $kappa$-int{\'e}grales orbitales elliptiques et
                 caract{\`e}res $kappa$-tordus. Cette formule donne en
                 particulier, pour une s{\'e}rie $kappa$-discr{\`e}te de
                 $G$, les $kappa$-int{\'e}grales orbitales elliptiques
                 d'un pseudo-coefficient comme valeurs du caract{\`e}re
                 $kappa$-tordu.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
  language =     "French",
}

@Article{Sims:2006:GII,
  author =       "Aidan Sims",
  title =        "Gauge-Invariant Ideals in the {$C^*$}-Algebras of
                 Finitely Aligned Higher-Rank Graphs",
  journal =      j-CAN-J-MATH,
  volume =       "58",
  number =       "??",
  pages =        "1268--1290",
  month =        "????",
  year =         "2006",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2006-045-2",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:13 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v58/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We produce a complete description of the lattice of
                 gauge-invariant ideals in $C$^*$ (Lambda)$ for a
                 finitely aligned $k$-graph $Lambda$. We provide a
                 condition on $Lambda$ under which every ideal is
                 gauge-invariant. We give conditions on $Lambda$ under
                 which $C$^*$ (Lambda)$ satisfies the hypotheses of the
                 Kirchberg--Phillips classification theorem.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Weimar-Woods:2006:GSG,
  author =       "Evelyn Weimar-Woods",
  title =        "The General Structure of {$G$}-Graded Contractions of
                 {Lie} Algebras {I}. The Classification",
  journal =      j-CAN-J-MATH,
  volume =       "58",
  number =       "??",
  pages =        "1291--1340",
  month =        "????",
  year =         "2006",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2006-046-x",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:13 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v58/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We give the general structure of complex (resp., real)
                 $G$-graded contractions of Lie algebras where $G$ is an
                 arbitrary finite Abelian group. For this purpose, we
                 introduce a number of concepts, such as pseudobasis,
                 higher-order identities, and sign invariants. We
                 characterize the equivalence classes of $G$-graded
                 contractions by showing that our set of invariants
                 (support, higher-order identities, and sign invariants)
                 is complete, which yields a classification.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Anonymous:2006:AII,
  author =       "Anonymous",
  title =        "Author Index - Index des auteurs --- for 2006 - pour
                 2006",
  journal =      j-CAN-J-MATH,
  volume =       "58",
  number =       "6",
  pages =        "1341--1344",
  month =        dec,
  year =         "2006",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2006-047-7",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:13 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v58/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Biller:2007:HGC,
  author =       "Harald Biller",
  title =        "Holomorphic Generation of Continuous Inverse
                 Algebras",
  journal =      j-CAN-J-MATH,
  volume =       "59",
  number =       "??",
  pages =        "3--35",
  month =        "????",
  year =         "2007",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2007-001-2",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v59/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We study complex commutative Banach algebras (and,
                 more generally, continuous inverse algebras) in which
                 the holomorphic functions of a fixed $n$-tuple of
                 elements are dense. In particular, we characterize the
                 compact subsets of $(\mathbb C)$^n$$ which appear as
                 joint spectra of such $n$-tuples. The characterization
                 is compared with several established notions of
                 holomorphic convexity by means of approximation
                 conditions.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Develin:2007:CDS,
  author =       "Mike Develin and Jeremy L. Martin and Victor Reiner",
  title =        "Classification of {Ding}'s {Schubert} Varieties: Finer
                 Rook Equivalence",
  journal =      j-CAN-J-MATH,
  volume =       "59",
  number =       "??",
  pages =        "36--62",
  month =        "????",
  year =         "2007",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2007-002-9",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v59/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "K. Ding studied a class of Schubert varieties
                 $X$_\lambda$$ in type A partial flag manifolds, indexed
                 by integer partitions $lambda$ and in bijection with
                 dominant permutations. He observed that the Schubert
                 cell structure of $X$_\lambda$$ is indexed by maximal
                 rook placements on the Ferrers board $B$_\lambda$$, and
                 that the integral cohomology groups $H$^*$ (X$_\lambda$
                 (\mathbb Z))$, $H$^*$ (X$_\mu$ (\mathbb Z))$ are
                 additively isomorphic exactly when the Ferrers boards
                 $B$_\lambda$, B$_\mu$$ satisfy the combinatorial
                 condition of $rook-equivalence$. We classify the
                 varieties $X$_\lambda$$ up to isomorphism,
                 distinguishing them by their graded cohomology rings
                 with integer coefficients. The crux of our approach is
                 studying the nilpotence orders of linear forms in the
                 cohomology ring.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Ferenczi:2007:SRS,
  author =       "Valentin Ferenczi and El{\'o}i Medina Galego",
  title =        "Some Results on the {Schroeder--Bernstein} Property
                 for Separable {Banach} Spaces",
  journal =      j-CAN-J-MATH,
  volume =       "59",
  number =       "??",
  pages =        "63--84",
  month =        "????",
  year =         "2007",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2007-003-5",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v59/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We construct a continuum of mutually non-isomorphic
                 separable Banach spaces which are complemented in each
                 other. Consequently, the Schroeder--Bernstein Index of
                 any of these spaces is $2$^{aleph 0}$$. Our
                 construction is based on a Banach space introduced by
                 W. T. Gowers and B. Maurey in 1997. We also use
                 classical descriptive set theory methods, as in some
                 work of the first author and C. Rosendal, to improve
                 some results of P. G. Casazza and of N. J. Kalton on
                 the Schroeder--Bernstein Property for spaces with an
                 unconditional finite-dimensional Schauder
                 decomposition.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Foster:2007:CCN,
  author =       "J. H. Foster and Monika Serbinowska",
  title =        "On the Convergence of a Class of Nearly Alternating
                 Series",
  journal =      j-CAN-J-MATH,
  volume =       "59",
  number =       "??",
  pages =        "85--108",
  month =        "????",
  year =         "2007",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2007-004-1",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v59/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $C$ be the class of convex sequences of real
                 numbers. The quadratic irrational numbers can be
                 partitioned into two types as follows. If $\alpha$ is
                 of the first type and $(c$_k$) \in C$, then $\sum
                 (-1)$^{lfloor k \alpha \rfloor}$ c$_k$$ converges if
                 and only if $c$_k$ log k \rightarrow 0$. If $\alpha$ is
                 of the second type and $(c$_k$) \in C$, then $\sum
                 (-1)$^{lfloor k \alpha \rfloor}$ c$_k$$ converges if
                 and only if $\sum c$_k$ /k$ converges. An example of a
                 quadratic irrational of the first type is $\sqrt{2}$,
                 and an example of the second type is $\sqrt{3}$. The
                 analysis of this problem relies heavily on the
                 representation of $\alpha$ as a simple continued
                 fraction and on properties of the sequences of partial
                 sums $S(n) = \sum$_{k=1}^n$ (-1)$^{lfloor k\alpha
                 \rfloor}$$ and double partial sums $T(n) =
                 \sum$_{k=1}^n$ S(k)$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Jayanthan:2007:FCP,
  author =       "A. V. Jayanthan and Tony J. Puthenpurakal and J. K.
                 Verma",
  title =        "On Fiber Cones of $\mathfrak{m}$-Primary Ideals",
  journal =      j-CAN-J-MATH,
  volume =       "59",
  number =       "??",
  pages =        "109--126",
  month =        "????",
  year =         "2007",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2007-005-8",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v59/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Two formulas for the multiplicity of the fiber cone
                 $F(I) = bigoplus$_{n=0}^\infty$ I$^n$ / m I$^n$$ of an
                 $m$-primary ideal of a $d$-dimensional Cohen--Macaulay
                 local ring $(R,m)$ are derived in terms of the mixed
                 multiplicity $e$_{d-1}$ (m | I)$, the multiplicity
                 $e(I)$, and superficial elements. As a consequence, the
                 Cohen--Macaulay property of $F(I)$ when $I$ has minimal
                 mixed multiplicity or almost minimal mixed multiplicity
                 is characterized in terms of the reduction number of
                 $I$ and lengths of certain ideals. We also characterize
                 the Cohen--Macaulay and Gorenstein properties of fiber
                 cones of $m$-primary ideals with a $d$-generated
                 minimal reduction $J$ satisfying $ell(I$^2$ /JI) = 1$
                 or $ell(Im/Jm) = 1.$",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Lamzouri:2007:SVI,
  author =       "Youness Lamzouri",
  title =        "Smooth Values of the Iterates of the {Euler}
                 Phi-Function",
  journal =      j-CAN-J-MATH,
  volume =       "59",
  number =       "??",
  pages =        "127--147",
  month =        "????",
  year =         "2007",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2007-006-4",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v59/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $phi(n)$ be the Euler phi-function, define
                 $phi$_0$ (n) = n$ and $phi$_{k+1}$ (n) = phi(phi$_k$
                 (n))$ for all $k \geq 0$. We will determine an
                 asymptotic formula for the set of integers $n$ less
                 than $x$ for which $phi$_k$ (n)$. is $y$-smooth,
                 conditionally on a weak form of the Elliott--Halberstam
                 conjecture.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Muic:2007:CCU,
  author =       "Goran Mui{\'c}",
  title =        "On Certain Classes of Unitary Representations for
                 Split Classical Groups",
  journal =      j-CAN-J-MATH,
  volume =       "59",
  number =       "??",
  pages =        "148--185",
  month =        "????",
  year =         "2007",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2007-007-0",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v59/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "In this paper we prove the unitarity of duals of
                 tempered representations supported on minimal parabolic
                 subgroups for split classical $p$-adic groups. We also
                 construct a family of unitary spherical representations
                 for real and complex classical groups",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Okoh:2007:EAK,
  author =       "F. Okoh and F. Zorzitto",
  title =        "Endomorphism Algebras of {Kronecker} Modules Regulated
                 by Quadratic Function Fields",
  journal =      j-CAN-J-MATH,
  volume =       "59",
  number =       "??",
  pages =        "186--210",
  month =        "????",
  year =         "2007",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2007-008-7",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v59/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Purely simple Kronecker modules $mathcal M$, built
                 from an algebraically closed field $K$, arise from a
                 triplet $(m,h, \alpha)$ where $m$ is a positive
                 integer, $h: K \bigcup {\infty} \longrightarrow
                 {\infty,0,1,2,3,dots}$ is a height function, and
                 $\alpha$ is a $K$-linear functional on the space $K(X)$
                 of rational functions in one variable $X$. Every pair
                 $(h, \alpha)$ comes with a polynomial $f$ in $K(X)[Y]$
                 called the regulator. When the module $mathcal M$
                 admits non-trivial endomorphisms, $f$ must be linear or
                 quadratic in $Y$. In that case $mathcal M$ is purely
                 simple if and only if $f$ is an irreducible quadratic.
                 Then the $K$-algebra $End (\mathcal M)$ embeds in the
                 quadratic function field $K(X)[Y]/(f)$. For some height
                 functions $h$ of infinite support $I$, the search for a
                 functional $\alpha$ for which $(h, \alpha)$ has
                 regulator 0 comes down to having functions $eta : I
                 longrightarrow K$ such that no planar curve intersects
                 the graph of $eta$ on a cofinite subset. If $K$ has
                 characterictic not 2, and the triplet $(m,h, \alpha)$
                 gives a purely-simple Kronecker module $mathcal M$
                 having non-trivial endomorphisms, then $h$ attains the
                 value $\infty$ at least once on $K big cup {\infty}$
                 and $h$ is finite-valued at least twice on $K big cup
                 {\infty}$. Conversely all these $h$ form part of such
                 triplets. The proof of this result hinges on the fact
                 that a rational function $r$ is a perfect square in
                 $K(X)$ if and only if $r$ is a perfect square in the
                 completions of $K(X)$ with respect to all of its
                 valuations.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Roy:2007:TEA,
  author =       "Damien Roy",
  title =        "On Two Exponents of Approximation Related to a Real
                 Number and Its Square",
  journal =      j-CAN-J-MATH,
  volume =       "59",
  number =       "??",
  pages =        "211--224",
  month =        "????",
  year =         "2007",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2007-009-3",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v59/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "For each real number $xi$, let $lambdahat$_2$ (xi)$
                 denote the supremum of all real numbers $lambda$ such
                 that, for each sufficiently large $X$, the inequalities
                 $|x$_0$ | \leq X$, $|x$_0$ xi - x$_1$ | \leq
                 X$^{-lambda}$$ and $|x$_0$ xi$^2$- x$_2$ | \leq
                 X$^{-lambda}$$ admit a solution in integers $x$_0$$,
                 $x$_1$$ and $x$_2$$ not all zero, and let $omegahat$_2$
                 (xi)$ denote the supremum of all real numbers $\omega$
                 such that, for each sufficiently large $X$, the dual
                 inequalities $|x$_0$ + x$_1$ xi + x$_2$ xi$^2$ | \leq
                 X$^{-\omega}$$, $|x$_1$ | \leq X$ and $|x$_2$ | \leq X$
                 admit a solution in integers $x$_0$$, $x$_1$$ and
                 $x$_2$$ not all zero. Answering a question of Y.
                 Bugeaud and M. Laurent, we show that the exponents
                 $lambdahat$_2$ (xi)$ where $xi$ ranges through all real
                 numbers with $[\mathbb Q(xi) : \mathbb Q] > 2$ form a
                 dense subset of the interval $[1/2, (\sqrt{5} - 1)/2]$
                 while, for the same values of $xi$, the dual exponents
                 $omegahat$_2$ (xi)$ form a dense subset of $[2,
                 (\sqrt{5} + 3)/2]$. Part of the proof rests on a result
                 of V. Jarnik showing that $lambdahat$_2$ (xi) = 1 -
                 omegahat$_2$ (xi)$^{-1}$$ for any real number $xi$ with
                 $[\mathbb Q(xi) : \mathbb Q] > 2$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Baker:2007:HAM,
  author =       "Matt Baker and Robert Rumely",
  title =        "Harmonic Analysis on Metrized Graphs",
  journal =      j-CAN-J-MATH,
  volume =       "59",
  number =       "??",
  pages =        "225--275",
  month =        "????",
  year =         "2007",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2007-010-2",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v59/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "This paper studies the Laplacian operator on a
                 metrized graph, and its spectral theory.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Bernardis:2007:WIH,
  author =       "A. L. Bernardis and F. J. Mart{\'\i}n-Reyes and P.
                 Ortega Salvador",
  title =        "Weighted Inequalities for {Hardy--Steklov} Operators",
  journal =      j-CAN-J-MATH,
  volume =       "59",
  number =       "??",
  pages =        "276--295",
  month =        "????",
  year =         "2007",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2007-011-x",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v59/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We characterize the pairs of weights $(v,w)$ for which
                 the operator $Tf(x) = g(x) \int$_{s(x)}^{h(x)}$ f$ with
                 $s$ and $h$ increasing and continuous functions is of
                 strong type $(p,q)$ or weak type $(p,q)$ with respect
                 to the pair $(v,w)$ in the case $0 < q < p$ and $1 < p
                 < \infty$. The result for the weak type is new while
                 the characterizations for the strong type improve the
                 ones given by H. P. Heinig and G. Sinnamon. In
                 particular, we do not assume differentiability
                 properties on $s$ and $h$ and we obtain that the strong
                 type inequality $(p,q)$, $q < p$, is characterized by
                 the fact that the function $Phi(x) = \sup (\int$_c^d$
                 g$^q$ w)$^{1/p}$ (\int$_{s(d)}^{h(c)}$
                 v$^{1-p'}$)$^{1/p'}$$ belongs to $L$^r$ (g$^q$ w)$,
                 where $1/r = 1/q - 1/p$ and the supremum is taken over
                 all $c$ and $d$ such that $c \leq x \leq d$ and $s(d)
                 \leq h(c)$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Chein:2007:BLN,
  author =       "Orin Chein and Edgar G. Goodaire",
  title =        "Bol Loops of Nilpotence Class Two",
  journal =      j-CAN-J-MATH,
  volume =       "59",
  number =       "??",
  pages =        "296--310",
  month =        "????",
  year =         "2007",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2007-012-7",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v59/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Call a non-Moufang Bol loop $minimally non-Moufang$ if
                 every proper subloop is Moufang and $minimally
                 nonassociative$ if every proper subloop is associative.
                 We prove that these concepts are the same for Bol loops
                 which are nilpotent of class two and in which certain
                 associators square to 1. In the process, we derive many
                 commutator and associator identities which hold in such
                 loops.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Christianson:2007:GZZ,
  author =       "Hans Christianson",
  title =        "Growth and Zeros of the Zeta Function for Hyperbolic
                 Rational Maps",
  journal =      j-CAN-J-MATH,
  volume =       "59",
  number =       "??",
  pages =        "311--331",
  month =        "????",
  year =         "2007",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2007-013-4",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v59/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "This paper describes new results on the growth and
                 zeros of the Ruelle zeta function for the Julia set of
                 a hyperbolic rational map. It is shown that the zeta
                 function is bounded by $exp(C$_K$ |s|$^{\delta}$)$ in
                 strips $|$ Re $s| \leq K$, where $\delta$ is the
                 dimension of the Julia set. This leads to bounds on the
                 number of zeros in strips (interpreted as the
                 Pollicott--Ruelle resonances of this dynamical system).
                 An upper bound on the number of zeros in polynomial
                 regions ${|$ Re $s| \leq |$ Im $s|$^{\alpha}$}$ is
                 given, followed by weaker lower bound estimates in
                 strips ${$ Re $s > -C, |$ Im $s| \leq r}$, and
                 logarithmic neighbourhoods ${|$ Re $s| \leq rho log |$
                 Im $s|}$. Recent numerical work of Strain--Zworski
                 suggests the upper bounds in strips are optimal.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Leuschke:2007:ERF,
  author =       "Graham J. Leuschke",
  title =        "Endomorphism Rings of Finite Global Dimension",
  journal =      j-CAN-J-MATH,
  volume =       "59",
  number =       "??",
  pages =        "332--342",
  month =        "????",
  year =         "2007",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2007-014-1",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v59/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "For a commutative local ring $R$, consider
                 (noncommutative) $R$-algebras $Lambda$ of the form
                 $Lambda =$ End $$_R$ (M)$ where $M$ is a reflexive
                 $R$-module with nonzero free direct summand. Such
                 algebras Lambda of finite global dimension can be
                 viewed as potential substitutes for, or analogues of, a
                 resolution of singularities of Spec $R$. For example,
                 Van den Bergh has shown that a three-dimensional
                 Gorenstein normal $\mathbb{C}$-algebra with isolated
                 terminal singularities has a crepant resolution of
                 singularities if and only if it has such an algebra
                 $Lambda$ with finite global dimension and which is
                 maximal Cohen--Macaulay over $R$ (a {``noncommutative
                 crepant resolution of singularities''}). We produce
                 algebras $Lambda =$ End $$_R$ (M)$ having finite global
                 dimension in two contexts: when $R$ is a reduced
                 one-dimensional complete local ring, or when $R$ is a
                 Cohen--Macaulay local ring of finite Cohen--Macaulay
                 type. If in the latter case $R$ is Gorenstein, then the
                 construction gives a noncommutative crepant resolution
                 of singularities in the sense of Van den Bergh.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Lin:2007:WSP,
  author =       "Huaxin Lin",
  title =        "Weak Semiprojectivity in Purely Infinite Simple
                 {$C^*$}-Algebras",
  journal =      j-CAN-J-MATH,
  volume =       "59",
  number =       "??",
  pages =        "343--371",
  month =        "????",
  year =         "2007",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2007-015-9",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v59/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $A$ be a separable amenable purely infinite simple
                 $C$^*$$-algebra which satisfies the Universal
                 Coefficient Theorem. We prove that $A$ is weakly
                 semiprojective if and only if $K$_i$ (A)$ is a
                 countable direct sum of finitely generated groups ( $i
                 = 0,1$). Therefore, if $A$ is such a $C$^*$$-algebra,
                 for any $epsilon > 0$ and any finite subset ${mathcal
                 F} subset A$ there exist $\delta > 0$ and a finite
                 subset ${mathcal G} subset A$ satisfying the following:
                 for any contractive positive linear map $L: A
                 rightarrow B$ (for any $C$^*$$-algebra $B$) with
                 $||L(ab) - L(a)L(b)|| < \delta$ for $a, b \in {mathcal
                 G}$ there exists a homomorphism $h : A rightarrow B$
                 such that $||h(a) - L(a)|| < epsilon$ for $a \in
                 {mathcal F}$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Maisner:2007:ZFS,
  author =       "Daniel Maisner and Enric Nart",
  title =        "Zeta Functions of Supersingular Curves of Genus 2",
  journal =      j-CAN-J-MATH,
  volume =       "59",
  number =       "??",
  pages =        "372--392",
  month =        "????",
  year =         "2007",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2007-016-6",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v59/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We determine which isogeny classes of supersingular
                 abelian surfaces over a finite field $k$ of
                 characteristic 2 contain jacobians. We deal with this
                 problem in a direct way by computing explicitly the
                 zeta function of all supersingular curves of genus 2.
                 Our procedure is constructive, so that we are able to
                 exhibit curves with prescribed zeta function and find
                 formulas for the number of curves, up to
                 $k$-isomorphism, leading to the same zeta function.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Servat:2007:SPO,
  author =       "E. Servat",
  title =        "Le splitting pour l'op{\'e}rateur de {Klein--Gordon}:
                 une approche heuristique et num{\'e}rique
                 {Harish-Chandra}. ({French}) [{Splitting} for the
                 {Klein--Gordon} operator: a heuristic numerical
                 {Harish-Chandra} approach]",
  journal =      j-CAN-J-MATH,
  volume =       "59",
  number =       "??",
  pages =        "393--417",
  month =        "????",
  year =         "2007",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2007-017-3",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v59/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Dans cet article on {\'e}tudie la diff{\'e}rence entre
                 les deux premi{\`e}res valeurs propres, le splitting,
                 d'un op{\'e}rateur de Klein--Gordon semi-classique
                 unidimensionnel, dans le cas d'un potentiel
                 sym{\'e}trique pr{\'e}sentant un double puits. Dans le
                 cas d'une petite barri{\`e}re de potentiel, B. Helffer
                 et B. Parisse ont obtenu des r{\'e}sultats analogues
                 {\`a} ceux existant pour l'op{\'e}rateur de
                 Schr{\"o}dinger. Dans le cas d'une grande barri{\`e}re
                 de potentiel, on obtient ici des estimations des
                 tranform{\'e}es de Fourier des fonctions propres qui
                 conduisent {\`a} une conjecture du splitting. Des
                 calculs num{\'e}riques viennent appuyer cette
                 conjecture.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
  language =     "French",
}

@Article{Stoimenow:2007:CKV,
  author =       "A. Stoimenow",
  title =        "On Cabled Knots and {Vassiliev} Invariants (Not)
                 Contained in Knot Polynomials",
  journal =      j-CAN-J-MATH,
  volume =       "59",
  number =       "??",
  pages =        "418--448",
  month =        "????",
  year =         "2007",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2007-018-0",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v59/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "It is known that the Brandt--Lickorish--Millett--Ho
                 polynomial $Q$ contains Casson's knot invariant.
                 Whether there are (essentially) other Vassiliev knot
                 invariants obtainable from $Q$ is an open problem. We
                 show that this is not so up to degree 9. We also give
                 the (apparently) first examples of knots not
                 distinguished by 2-cable HOMFLY polynomials which are
                 not mutants. Our calculations provide evidence of a
                 negative answer to the question whether Vassiliev knot
                 invariants of degree $d \leq 10$ are determined by the
                 HOMFLY and Kauffman polynomials and their 2-cables, and
                 for the existence of algebras of such Vassiliev
                 invariants not isomorphic to the algebras of their
                 weight systems.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Badulescu:2007:ORT,
  author =       "Alexandru Ioan Badulescu",
  title =        "{$\SL_n$}, Orthogonality Relations and Transfer",
  journal =      j-CAN-J-MATH,
  volume =       "59",
  number =       "??",
  pages =        "449--464",
  month =        "????",
  year =         "2007",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2007-019-8",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v59/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $pi$ be a square integrable representation of $G'
                 =$ SL $$_n$ (D)$, with $D$ a central division algebra
                 of finite dimension over a local field $F$ $of non-zero
                 characteristic$. We prove that, on the elliptic set,
                 the character of $pi$ equals the complex conjugate of
                 the orbital integral of one of the pseudocoefficients
                 of $pi$. We prove also the orthogonality relations for
                 characters of square integrable representations of
                 $G'$. We prove the stable transfer of orbital integrals
                 between SL $$_n$ (F)$ and its inner forms.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Barr:2007:SAE,
  author =       "Michael Barr and John F. Kennison and R. Raphael",
  title =        "Searching for Absolute {$\mathcal{CR}$}-Epic Spaces",
  journal =      j-CAN-J-MATH,
  volume =       "59",
  number =       "??",
  pages =        "465--487",
  month =        "????",
  year =         "2007",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2007-020-9",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v59/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "In previous papers, Barr and Raphael investigated the
                 situation of a topological space $Y$ and a subspace $X$
                 such that the induced map $C(Y) \to C(X)$ is an
                 epimorphism in the category $(\mathcal CR)$ of
                 commutative rings (with units). We call such an
                 embedding a $(\mathcal CR)$-epic embedding and we say
                 that $X$ is absolute $(\mathcal CR)$-epic if every
                 embedding of $X$ is $(\mathcal CR)$-epic. We continue
                 this investigation. Our most notable result shows that
                 a Lindel{\"o}f space $X$ is absolute $(\mathcal
                 CR)$-epic if a countable intersection of $\beta
                 X$-neighbourhoods of $X$ is a $\beta X$-neighbourhood
                 of $X$. This condition is stable under countable sums,
                 the formation of closed subspaces, cozero-subspaces,
                 and being the domain or codomain of a perfect map. A
                 strengthening of the Lindel{\"o}f property leads to a
                 new class with the same closure properties that is also
                 closed under finite products. Moreover, all
                 $\sigma$-compact spaces and all Lindel{\"o}f $P$-spaces
                 satisfy this stronger condition. We get some results in
                 the non-Lindel{\"o}f case that are sufficient to show
                 that the Dieudonn{\'e} plank and some closely related
                 spaces are absolute $(\mathcal CR)$-epic.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Bernardi:2007:OVV,
  author =       "A. Bernardi and M. V. Catalisano and A. Gimigliano and
                 M. Id{\`a}",
  title =        "Osculating Varieties of {Veronese} Varieties and Their
                 Higher Secant Varieties",
  journal =      j-CAN-J-MATH,
  volume =       "59",
  number =       "??",
  pages =        "488--502",
  month =        "????",
  year =         "2007",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2007-021-6",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v59/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We consider the $k$-osculating varieties $O$_{k,n.d}$$
                 to the (Veronese) $d$-uple embeddings of $(\mathbb
                 P)$^n$$. We study the dimension of their higher secant
                 varieties via inverse systems (apolarity). By
                 associating certain 0-dimensional schemes $Y \subset
                 (\mathbb P)$^n$$ to $O$^s_{k,n,d}$$ and by studying
                 their Hilbert functions, we are able, in several cases,
                 to determine whether those secant varieties are
                 defective or not.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Chevallier:2007:CGT,
  author =       "Nicolas Chevallier",
  title =        "Cyclic Groups and the Three Distance Theorem",
  journal =      j-CAN-J-MATH,
  volume =       "59",
  number =       "??",
  pages =        "503--552",
  month =        "????",
  year =         "2007",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2007-022-3",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v59/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We give a two dimensional extension of the three
                 distance Theorem. Let $\theta$ be in $(mathbf R)$^2$$
                 and let $q$ be in $(mathbf N)$. There exists a
                 triangulation of $(mathbf R)$^2$$ invariant by $(mathbf
                 Z)$^2$$-translations, whose set of vertices is $(mathbf
                 Z)$^2$ + {0, \theta, dots, q \theta}$, and whose number
                 of different triangles, up to translations, is bounded
                 above by a constant which does not depend on $\theta$
                 and $q$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Dasgupta:2007:CEU,
  author =       "Samit Dasgupta",
  title =        "Computations of Elliptic Units for Real Quadratic
                 Fields",
  journal =      j-CAN-J-MATH,
  volume =       "59",
  number =       "??",
  pages =        "553--574",
  month =        "????",
  year =         "2007",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2007-023-0",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v59/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $K$ be a real quadratic field, and $p$ a rational
                 prime which is inert in $K$. Let $\alpha$ be a modular
                 unit on $\Gamma$_0$ (N)$. In an earlier joint article
                 with Henri Darmon, we presented the definition of an
                 element $u(\alpha, tau) \in K$_p^{times}$$ attached to
                 $\alpha$ and each $tau \in K$. We conjectured that the
                 $p$-adic number $u(\alpha, tau)$ lies in a specific
                 ring class extension of $K$ depending on $tau$, and
                 proposed a {``Shimura reciprocity law''} describing the
                 permutation action of Galois on the set of $u(\alpha,
                 tau)$. This article provides computational evidence for
                 these conjectures. We present an efficient algorithm
                 for computing $u(\alpha, tau)$, and implement this
                 algorithm with the modular unit $\alpha(z) =
                 \Delta(z)$^2$ \Delta(4z)/\Delta(2z)$^3$$. Using $p = 3,
                 5, 7,$ and $11$, and all real quadratic fields $K$ with
                 discriminant $D < 500$ such that 2 splits in $K$ and
                 $K$ contains no unit of negative norm, we obtain
                 results supporting our conjectures. One of the
                 theoretical results in this paper is that a certain
                 measure used to define $u(\alpha, tau)$ is shown to be
                 $(mathbf Z)$-valued rather than only $(mathbf Z)$_p$
                 \cap (mathbf Q)$-valued; this is an improvement over
                 our previous result and allows for a precise definition
                 of $u(\alpha, tau)$, instead of only up to a root of
                 unity.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Hernandez-Hernandez:2007:CIA,
  author =       "Fernando Hern{\'a}ndez-Hern{\'a}ndez and Michael
                 Hrus{\'a}k",
  title =        "Cardinal Invariants of Analytic {$P$}-Ideals",
  journal =      j-CAN-J-MATH,
  volume =       "59",
  number =       "??",
  pages =        "575--595",
  month =        "????",
  year =         "2007",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2007-024-8",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v59/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We study the cardinal invariants of analytic
                 $P$-ideals, concentrating on the ideal $(\mathcal Z)$
                 of asymptotic density zero. Among other results we
                 prove min ${(\mathfrak b), cov (\mathcal N)} \leq
                 cov$^*$ (\mathcal Z) \leq $ max ${(\mathfrak b),$ non
                 $(\mathcal N)}$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Itza-Ortiz:2007:ETM,
  author =       "Benjam{\'\i}n A. Itz{\'a}-Ortiz",
  title =        "Eigenvalues, {$K$}-theory and Minimal Flows",
  journal =      j-CAN-J-MATH,
  volume =       "59",
  number =       "??",
  pages =        "596--613",
  month =        "????",
  year =         "2007",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2007-025-5",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v59/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $(Y,T)$ be a minimal suspension flow built over a
                 dynamical system $(X,S)$ and with (strictly positive,
                 continuous) ceiling function $f : X \to (\mathbb R)$.
                 We show that the eigenvalues of $(Y,T)$ are contained
                 in the range of a trace on the $K$_0$$-group of
                 $(X,S)$. Moreover, a trace gives an order isomorphism
                 of a subgroup of $K$_0$ (\cprod{C(X)}{S})$ with the
                 group of eigenvalues of $(Y,T)$. Using this result, we
                 relate the values of $t$ for which the time- $t$ map on
                 the minimal suspension flow is minimal with the
                 $K$-theory of the base of this suspension.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Labuschagne:2007:PNO,
  author =       "C. C. A. Labuschagne",
  title =        "Preduals and Nuclear Operators Associated with
                 Bounded, $p$-Convex, $p$-Concave and Positive
                 $p$-Summing Operators",
  journal =      j-CAN-J-MATH,
  volume =       "59",
  number =       "??",
  pages =        "614--637",
  month =        "????",
  year =         "2007",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2007-026-2",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v59/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We use Krivine's form of the Grothendieck inequality
                 to renorm the space of bounded linear maps acting
                 between Banach lattices. We construct preduals and
                 describe the nuclear operators associated with these
                 preduals for this renormed space of bounded operators
                 as well as for the spaces of $p$-convex, $p$-concave
                 and positive $p$-summing operators acting between
                 Banach lattices and Banach spaces. The nuclear
                 operators obtained are described in terms of
                 factorizations through classical Banach spaces via
                 positive operators.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{MacDonald:2007:DIN,
  author =       "Gordon W. MacDonald",
  title =        "Distance from Idempotents to Nilpotents",
  journal =      j-CAN-J-MATH,
  volume =       "59",
  number =       "??",
  pages =        "638--657",
  month =        "????",
  year =         "2007",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2007-027-x",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v59/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We give bounds on the distance from a non-zero
                 idempotent to the set of nilpotents in the set of $n
                 \times n$ matrices in terms of the norm of the
                 idempotent. We construct explicit idempotents and
                 nilpotents which achieve these distances, and determine
                 exact distances in some special cases.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Minac:2007:DAP,
  author =       "J. Min{\'a}c and A. Wadsworth",
  title =        "Division Algebras of Prime Degree and Maximal {Galois}
                 $p$-Extensions",
  journal =      j-CAN-J-MATH,
  volume =       "59",
  number =       "??",
  pages =        "658--672",
  month =        "????",
  year =         "2007",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2007-028-7",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v59/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $p$ be an odd prime number, and let $F$ be a field
                 of characteristic not $p$ and not containing the group
                 $mu$_p$$ of $p$-th roots of unity. We consider cyclic
                 $p$-algebras over $F$ by descent from $L = F(mu$_p$)$.
                 We generalize a theorem of Albert by showing that if
                 $mu$_{p$^n$}$ \subseteq L$, then a division algebra $D$
                 of degree $p$^n$$ over $F$ is a cyclic algebra if and
                 only if there is $d \in D$ with d$^{p n}$ \in F - F^p.
                 Let $F(p)$ be the maximal $p$-extension of $F$. We show
                 that $F(p)$ has a noncyclic algebra of degree $p$ if
                 and only if a certain eigencomponent of the $p$-torsion
                 of Br $(F(p)(mu$_p$))$ is nontrivial. To get a better
                 understanding of $F(p)$, we consider the valuations on
                 $F(p)$ with residue characteristic not $p$, and
                 determine what residue fields and value groups can
                 occur. Our results support the conjecture that the $p$
                 torsion in Br $(F(p))$ is always trivial.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Ash:2007:HFD,
  author =       "Avner Ash and Solomon Friedberg",
  title =        "{Hecke} {$L$}-Functions and the Distribution of
                 Totally Positive Integers",
  journal =      j-CAN-J-MATH,
  volume =       "59",
  number =       "??",
  pages =        "673--695",
  month =        "????",
  year =         "2007",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2007-029-4",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v59/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $K$ be a totally real number field of degree $n$.
                 We show that the number of totally positive integers
                 (or more generally the number of totally positive
                 elements of a given fractional ideal) of given trace is
                 evenly distributed around its expected value, which is
                 obtained from geometric considerations. This result
                 depends on unfolding an integral over a compact
                 torus.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Bangoura:2007:ALH,
  author =       "Momo Bangoura",
  title =        "Alg{\`e}bres de {Lie} d'homotopie associ{\'e}es {\`a}
                 une proto-big{\`e}bre de {Lie}",
  journal =      j-CAN-J-MATH,
  volume =       "59",
  number =       "??",
  pages =        "696--711",
  month =        "????",
  year =         "2007",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2007-030-5",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v59/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "On associe {\`a} toute structure de proto-big{\`e}bre
                 de Lie sur un espace vectoriel $F$ de dimension finie
                 des structures d'alg{\`e}bre de Lie d'homotopie
                 d{\'e}finies respectivement sur la suspension de
                 l'alg{\`e}bre ext{\'e}rieure de $F$ et celle de son
                 dual $F$^*$$. Dans ces alg{\`e}bres, tous les crochets
                 $n$-aires sont nuls pour $n geq 4$ du fait qu'ils
                 proviennent d'une structure de proto-big{\`e}bre de
                 Lie. Plus g{\'e}n{\'e}ralement, on associe {\`a} un
                 {\'e}l{\'e}ment de degr{\'e} impair de l'alg{\`e}bre
                 ext{\'e}rieure de la somme directe de $F$ et $F$^*$$,
                 une collection d'applications multilin{\'e}aires
                 antisym{\'e}triques sur l'alg{\`e}bre ext{\'e}rieure de
                 $F$ (resp. $F$^*$$), qui v{\'e}rifient les
                 identit{\'e}s de Jacobi g{\'e}n{\'e}ralis{\'e}es,
                 d{\'e}finissant les alg{\`e}bres de Lie d'homotopie, si
                 l'{\'e}l{\'e}ment donn{\'e} est de carr{\'e} nul pour
                 le grand crochet de l'alg{\`e}bre ext{\'e}rieure de la
                 somme directe de $F$ et de $F$^*$$. To any proto-Lie
                 algebra structure on a finite-dimensional vector space
                 $F$, we associate homotopy Lie algebra structures
                 defined on the suspension of the exterior algebra of
                 $F$ and that of its dual $F$^*$$, respectively. In
                 these algebras, all $n$-ary brackets for $n geq 4$
                 vanish because the brackets are defined by the
                 proto-Lie algebra structure. More generally, to any
                 element of odd degree in the exterior algebra of the
                 direct sum of $F$ and $F$^*$$, we associate a set of
                 multilinear skew-symmetric mappings on the suspension
                 of the exterior algebra of $F$ (resp. $F$^*$$), which
                 satisfy the generalized Jacobi identities, defining the
                 homotopy Lie algebras, if the given element is of
                 square zero with respect to the big bracket of the
                 exterior algebra of the direct sum of $F$ and
                 $F$^*$$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Billig:2007:JM,
  author =       "Yuly Billig",
  title =        "Jet Modules",
  journal =      j-CAN-J-MATH,
  volume =       "59",
  number =       "??",
  pages =        "712--729",
  month =        "????",
  year =         "2007",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2007-031-2",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v59/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "In this paper we classify indecomposable modules for
                 the Lie algebra of vector fields on a torus that admit
                 a compatible action of the algebra of functions. An
                 important family of such modules is given by spaces of
                 jets of tensor fields.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Erdelyi:2007:LSI,
  author =       "T. Erd{\'e}lyi and D. S. Lubinsky",
  title =        "Large Sieve Inequalities via Subharmonic Methods and
                 the {Mahler} Measure of the {Fekete} Polynomials",
  journal =      j-CAN-J-MATH,
  volume =       "59",
  number =       "??",
  pages =        "730--741",
  month =        "????",
  year =         "2007",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2007-032-x",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v59/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We investigate large sieve inequalities such as
                 $frac{1}{m} sum$_{j=1}^m$ psi(log|P(e$^{i tau j}$)|)
                 \leq frac{C}{2 pi} int$_0^{2 pi}$ psi(log[e|P(e$^{i
                 tau}$)|])d tau,$ where $psi$ is convex and increasing,
                 $P$ is a polynomial or an exponential of a potential,
                 and the constant $C$ depends on the degree of $P$, and
                 the distribution of the points $0 \leq tau$_1$ <
                 tau$_2$ < ... < tau$_m$ \leq 2 pi$. The method allows
                 greater generality and is in some ways simpler than
                 earlier ones. We apply our results to estimate the
                 Mahler measure of Fekete polynomials.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Gil:2007:GSC,
  author =       "Juan B. Gil and Thomas Krainer and Gerardo A.
                 Mendoza",
  title =        "Geometry and Spectra of Closed Extensions of Elliptic
                 Cone Operators",
  journal =      j-CAN-J-MATH,
  volume =       "59",
  number =       "??",
  pages =        "742--794",
  month =        "????",
  year =         "2007",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2007-033-7",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v59/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We study the geometry of the set of closed extensions
                 of index 0 of an elliptic differential cone operator
                 and its model operator in connection with the spectra
                 of the extensions, and we give a necessary and
                 sufficient condition for the existence of rays of
                 minimal growth for such operators.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Jaworski:2007:CDE,
  author =       "Wojciech Jaworski and Matthias Neufang",
  title =        "The {Choquet--Deny} Equation in a {Banach} Space",
  journal =      j-CAN-J-MATH,
  volume =       "59",
  number =       "??",
  pages =        "795--827",
  month =        "????",
  year =         "2007",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2007-034-4",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v59/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $G$ be a locally compact group and $pi$ a
                 representation of $G$ by weakly $$^*$$ continuous
                 isometries acting in a dual Banach space $E$. Given a
                 probability measure $mu$ on $G$, we study the
                 Choquet--Deny equation $pi(mu)x = x$, $x \in E$. We
                 prove that the solutions of this equation form the
                 range of a projection of norm 1 and can be represented
                 by means of a {``Poisson formula''} on the same
                 boundary space that is used to represent the bounded
                 harmonic functions of the random walk of law $mu$. The
                 relation between the space of solutions of the
                 Choquet--Deny equation in $E$ and the space of bounded
                 harmonic functions can be understood in terms of a
                 construction resembling the $W$^*$$-crossed product and
                 coinciding precisely with the crossed product in the
                 special case of the Choquet--Deny equation in the space
                 $E = B(L$^2$ (G))$ of bounded linear operators on
                 $L$^2$ (G)$. Other general properties of the
                 Choquet--Deny equation in a Banach space are also
                 discussed.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Ortner:2007:NBR,
  author =       "Ronald Ortner and Wolfgang Woess",
  title =        "Non-Backtracking Random Walks and Cogrowth of Graphs",
  journal =      j-CAN-J-MATH,
  volume =       "59",
  number =       "??",
  pages =        "828--844",
  month =        "????",
  year =         "2007",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2007-035-1",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v59/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $X$ be a locally finite, connected graph without
                 vertices of degree 1. Non-backtracking random walk
                 moves at each step with equal probability to one of the
                 {``forward''} neighbours of the actual state, $i.e.,$
                 it does not go back along the preceding edge to the
                 preceding state. This is not a Markov chain, but can be
                 turned into a Markov chain whose state space is the set
                 of oriented edges of $X$. Thus we obtain for infinite
                 $X$ that the $n$-step non-backtracking transition
                 probabilities tend to zero, and we can also compute
                 their limit when $X$ is finite. This provides a short
                 proof of old results concerning cogrowth of groups, and
                 makes the extension of that result to arbitrary regular
                 graphs rigorous. Even when $X$ is non-regular, but
                 $small cycles are dense in$ $X$, we show that the graph
                 $X$ is non-amenable if and only if the non-backtracking
                 $n$-step transition probabilities decay exponentially
                 fast. This is a partial generalization of the cogrowth
                 criterion for regular graphs which comprises the
                 original cogrowth criterion for finitely generated
                 groups of Grigorchuk and Cohen.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Schaffhauser:2007:RFG,
  author =       "Florent Schaffhauser",
  title =        "Representations of the Fundamental Group of an
                 {$L$}-Punctured Sphere Generated by Products of
                 {Lagrangian} Involutions",
  journal =      j-CAN-J-MATH,
  volume =       "59",
  number =       "??",
  pages =        "845--879",
  month =        "????",
  year =         "2007",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2007-036-9",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v59/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "In this paper, we characterize unitary representations
                 of $pi:= pi$_1$ (S$^2$ \backslash {s$_1$, dots,
                 s$_1$})$ whose generators u$_1$, dots, u$_l$ (lying in
                 conjugacy classes fixed initially) can be decomposed as
                 products of two Lagrangian involutions $u$_j$ =
                 \sigma$_j$ \sigma$_{j+1}$$ with $\sigma$_{l+1}$ =
                 \sigma$_1$$. Our main result is that such
                 representations are exactly the elements of the
                 fixed-point set of an anti-symplectic involution
                 defined on the moduli space ${mathcal M}$_e$:=
                 Hom$_{{mathcal C}}$ (pi,U(n))/U(n)$. Consequently, as
                 this fixed-point set is non-empty, it is a Lagrangian
                 submanifold of ${mathcal M}$_e$$. To prove this, we use
                 the quasi-Hamiltonian description of the symplectic
                 structure of ${mathcal M}$_e$$ and give conditions on
                 an involution defined on a quasi-Hamiltonian $U$-space
                 $(M, \omega, mu: M \to U)$ for it to induce an
                 anti-symplectic involution on the reduced space $M//U:=
                 mu$^{-1}$ ({1})/U$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{denvan:2007:RIV,
  author =       "John E. den van",
  title =        "Radical Ideals in Valuation Domains",
  journal =      j-CAN-J-MATH,
  volume =       "59",
  number =       "??",
  pages =        "880--896",
  month =        "????",
  year =         "2007",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2007-037-6",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v59/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "An ideal $I$ of a ring $R$ is called a radical ideal
                 if $I = {mathcal R}(R)$ where ${mathcal R}$ is a
                 radical in the sense of Kurosh--Amitsur. The main
                 theorem of this paper asserts that if $R$ is a
                 valuation domain, then a proper ideal $I$ of $R$ is a
                 radical ideal if and only if $I$ is a distinguished
                 ideal of $R$ (the latter property means that if $J$ and
                 $K$ are ideals of $R$ such that $J subset I subset K$
                 then we cannot have $I/J cong K/I$ as rings) and that
                 such an ideal is necessarily prime. Examples are
                 exhibited which show that, unlike prime ideals,
                 distinguished ideals are not characterizable in terms
                 of a property of the underlying value group of the
                 valuation domain.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Bruneau:2007:GSP,
  author =       "Laurent Bruneau",
  title =        "The Ground State Problem for a Quantum {Hamiltonian}
                 Model Describing Friction",
  journal =      j-CAN-J-MATH,
  volume =       "59",
  number =       "??",
  pages =        "897--916",
  month =        "????",
  year =         "2007",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2007-038-3",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v59/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "In this paper, we consider the quantum version of a
                 Hamiltonian model describing friction. This model
                 consists of a particle which interacts with a bosonic
                 reservoir representing a homogeneous medium through
                 which the particle moves. We show that if the particle
                 is confined, then the Hamiltonian admits a ground state
                 if and only if a suitable infrared condition is
                 satisfied. The latter is violated in the case of linear
                 friction, but satisfied when the friction force is
                 proportional to a higher power of the particle speed.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Currey:2007:ACQ,
  author =       "Bradley N. Currey",
  title =        "Admissibility for a Class of Quasiregular
                 Representations",
  journal =      j-CAN-J-MATH,
  volume =       "59",
  number =       "??",
  pages =        "917--942",
  month =        "????",
  year =         "2007",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2007-039-0",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v59/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Given a semidirect product $G = N rtimes H$ where $N$
                 is nilpotent, connected, simply connected and normal in
                 $G$ and where $H$ is a vector group for which ad
                 $(mathfrac h)$ is completely reducible and $mathbf
                 R$-split, let $tau$ denote the quasiregular
                 representation of $G$ in $L$^2$ (N)$. An element $psi
                 \in L$^2$ (N)$ is said to be admissible if the wavelet
                 transform $f mapsto langle f, tau (cdot) psi rangle$
                 defines an isometry from $L$^2$ (N)$ into $L$^2$ (G)$.
                 In this paper we give an explicit construction of
                 admissible vectors in the case where $G$ is not
                 unimodular and the stabilizers in $H$ of its action on
                 $hat N$ are almost everywhere trivial. In this
                 situation we prove orthogonality relations and we
                 construct an explicit decomposition of $L$^2$ (G)$ into
                 $G$-invariant, multiplicity-free subspaces each of
                 which is the image of a wavelet transform . We also
                 show that, with the assumption of (almost-everywhere)
                 trivial stabilizers, non-unimodularity is necessary for
                 the existence of admissible vectors.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Finster:2007:WEW,
  author =       "Felix Finster and Margarita Kraus",
  title =        "A Weighted {$L^2$}-Estimate of the {Witten} Spinor in
                 Asymptotically {Schwarzschild} Manifolds",
  journal =      j-CAN-J-MATH,
  volume =       "59",
  number =       "??",
  pages =        "943--965",
  month =        "????",
  year =         "2007",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2007-040-1",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v59/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We derive a weighted $L$^2$$-estimate of the Witten
                 spinor in a complete Riemannian spin manifold $(M$^n$,
                 g)$ of non-negative scalar curvature which is
                 asymptotically Schwarzschild. The interior geometry of
                 $M$ enters this estimate only via the lowest eigenvalue
                 of the square of the Dirac operator on a conformal
                 compactification of $M$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Forrest:2007:OAF,
  author =       "Brian E. Forrest and Volker Runde and Nico Spronk",
  title =        "Operator Amenability of the {Fourier} Algebra in the
                 $\cb$-Multiplier Norm",
  journal =      j-CAN-J-MATH,
  volume =       "59",
  number =       "5",
  pages =        "966--980",
  month =        oct,
  year =         "2007",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2007-041-9",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v59/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $G$ be a locally compact group, and let $A$_{cb}$
                 (G)$ denote the closure of $A(G)$, the Fourier algebra
                 of $G$, in the space of completely bounded multipliers
                 of $A(G)$. If $G$ is a weakly amenable, discrete group
                 such that $cstar(G)$ is residually finite-dimensional,
                 we show that $A$_{cb}$ (G)$ is operator amenable. In
                 particular, $A$_{cb}$ (F$_2$)$ is operator amenable
                 even though $F$_2$$, the free group in two generators,
                 is not an amenable group. Moreover, we show that if $G$
                 is a discrete group such that $A$_{cb}$ (G)$ is
                 operator amenable, a closed ideal of $A(G)$ is weakly
                 completely complemented in $A(G)$ if and only if it has
                 an approximate identity bounded in the cb-multiplier
                 norm.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Jiang:2007:CRC,
  author =       "Yunfeng Jiang",
  title =        "The {Chen--Ruan} Cohomology of Weighted Projective
                 Spaces",
  journal =      j-CAN-J-MATH,
  volume =       "59",
  number =       "??",
  pages =        "981--1007",
  month =        "????",
  year =         "2007",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2007-042-6",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v59/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "In this paper we study the Chen--Ruan cohomology ring
                 of weighted projective spaces. Given a weighted
                 projective space {\bf P}$^n_{q 0}$, \dots, q$_n$, we
                 determine all of its twisted sectors and the
                 corresponding degree shifting numbers. The main result
                 of this paper is that the obstruction bundle over any
                 3-multisector is a direct sum of line bundles which we
                 use to compute the orbifold cup product. Finally we
                 compute the Chen--Ruan cohomology ring of weighted
                 projective space {\bf P}$^5_{1,2,2,3,3,3}$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Kaczynski:2007:IZT,
  author =       "Tomasz Kaczynski and Marian Mrozek and Anik Trahan",
  title =        "Ideas from {Zariski} Topology in the Study of Cubical
                 Homology",
  journal =      j-CAN-J-MATH,
  volume =       "59",
  number =       "??",
  pages =        "1008--1028",
  month =        "????",
  year =         "2007",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2007-043-3",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v59/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Cubical sets and their homology have been used in
                 dynamical systems as well as in digital imaging. We
                 take a fresh look at this topic, following Zariski
                 ideas from algebraic geometry. The cubical topology is
                 defined to be a topology in $\mathbb R$^d$$ in which a
                 set is closed if and only if it is cubical. This
                 concept is a convenient frame for describing a variety
                 of important features of cubical sets. Separation
                 axioms which, in general, are not satisfied here,
                 characterize exactly those pairs of points which we
                 want to distinguish. The noetherian property guarantees
                 the correctness of the algorithms. Moreover, maps
                 between cubical sets which are continuous and closed
                 with respect to the cubical topology are precisely
                 those for whom the homology map can be defined and
                 computed without grid subdivisions. A combinatorial
                 version of the Vietoris-Begle theorem is derived. This
                 theorem plays the central role in an algorithm
                 computing homology of maps which are continuous with
                 respect to the Euclidean topology.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Kalton:2007:G,
  author =       "N. J. Kalton and A. Koldobsky and V. Yaskin and M.
                 Yaskina",
  title =        "The Geometry of {$L_0$}",
  journal =      j-CAN-J-MATH,
  volume =       "59",
  number =       "??",
  pages =        "1029--1068",
  month =        "????",
  year =         "2007",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2007-044-0",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v59/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Suppose that we have the unit Euclidean ball in
                 $\mathbb R$^n$$ and construct new bodies using three
                 operations --- linear transformations, closure in the
                 radial metric, and multiplicative summation defined by
                 |x|$_{K+ 0}$ L = \sqrt{|x|$_K$ |x|$_L$}. We prove that
                 in dimension 3 this procedure gives all
                 origin-symmetric convex bodies, while this is no longer
                 true in dimensions 4 and higher. We introduce the
                 concept of embedding of a normed space in $L$_0$$ that
                 naturally extends the corresponding properties of
                 $L$_p$$-spaces with $p \ne 0$, and show that the
                 procedure described above gives exactly the unit balls
                 of subspaces of $L$_0$$ in every dimension. We provide
                 Fourier analytic and geometric characterizations of
                 spaces embedding in $L$_0$$, and prove several facts
                 confirming the place of $L$_0$$ in the scale of
                 $L$_p$$-spaces.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Reydy:2007:QJA,
  author =       "Carine Reydy",
  title =        "Quotients jacobiens: une approche alg{\'e}brique.
                 ({French}) [{Jacobian} quotients: an algebraic
                 approach]",
  journal =      j-CAN-J-MATH,
  volume =       "59",
  number =       "??",
  pages =        "1069--1097",
  month =        "????",
  year =         "2007",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2007-046-5",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v59/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Le diagramme d'Eisenbud et Neumann d'un germe est un
                 arbre qui repr{\'e}sente ce germe et permet d'en
                 calculer les invariants. On donne une d{\'e}monstration
                 alg{\'e}brique d'un r{\'e}sultat caract{\'e}risant
                 l'ensemble des quotients jacobiens d'un germe
                 d'application $(f,g)$ {\`a} partir du diagramme
                 d'Eisenbud et Neumann de $fg$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
  language =     "French",
}

@Article{Rodrigues:2007:RES,
  author =       "B. Rodrigues",
  title =        "Ruled Exceptional Surfaces and the Poles of {Motivic}
                 Zeta Functions",
  journal =      j-CAN-J-MATH,
  volume =       "59",
  number =       "??",
  pages =        "1098--1120",
  month =        "????",
  year =         "2007",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2007-047-2",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v59/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "In this paper we study ruled surfaces which appear as
                 an exceptional surface in a succession of blowing-ups.
                 In particular we prove that the $e$-invariant of such a
                 ruled exceptional surface $E$ is strictly positive
                 whenever its intersection with the other exceptional
                 surfaces does not contain a fiber (of $E$). This fact
                 immediately enables us to resolve an open problem
                 concerning an intersection configuration on such a
                 ruled exceptional surface consisting of three
                 nonintersecting sections. In the second part of the
                 paper we apply the non-vanishing of $e$ to the study of
                 the poles of the well-known topological, Hodge and
                 motivic zeta functions.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Alayont:2007:MCS,
  author =       "Fery{\^a}l Alayont",
  title =        "Meromorphic Continuation of Spherical Cuspidal Data
                 {Eisenstein} Series",
  journal =      j-CAN-J-MATH,
  volume =       "59",
  number =       "??",
  pages =        "1121--1134",
  month =        "????",
  year =         "2007",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2007-048-x",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v59/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Meromorphic continuation of the Eisenstein series
                 induced from spherical, cuspidal data on parabolic
                 subgroups is achieved via reworking Bernstein's
                 adaptation of Selberg's third proof of meromorphic
                 continuation.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Bjorn:2007:SEH,
  author =       "Anders Bj{\"o}rn and Jana Bj{\"o}rn and Nageswari
                 Shanmugalingam",
  title =        "{Sobolev} Extensions of {H{\"o}lder} Continuous and
                 Characteristic Functions on Metric Spaces",
  journal =      j-CAN-J-MATH,
  volume =       "59",
  number =       "??",
  pages =        "1135--1153",
  month =        "????",
  year =         "2007",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2007-049-7",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v59/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We study when characteristic and H{\"o}lder continuous
                 functions are traces of Sobolev functions on doubling
                 metric measure spaces. We provide analytic and
                 geometric conditions sufficient for extending
                 characteristic and H{\"o}lder continuous functions into
                 globally defined Sobolev functions.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Boardman:2007:TFS,
  author =       "J. Michael Boardman and W. Stephen Wilson",
  title =        "$k(n)$-Torsion-Free {$H$}-Spaces and
                 {$P(n)$}-Cohomology",
  journal =      j-CAN-J-MATH,
  volume =       "59",
  number =       "??",
  pages =        "1154--1206",
  month =        "????",
  year =         "2007",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2007-050-8",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v59/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "The $H$-space that represents Brown--Peterson
                 cohomology BP $$^k$ (-)$ was split by the second author
                 into indecomposable factors, which all have
                 torsion-free homotopy and homology. Here, we do the
                 same for the related spectrum $P(n)$, by constructing
                 idempotent operations in $P(n)$-cohomology $P(n)$^k$
                 (--)$ in the style of Boardman--Johnson--Wilson; this
                 relies heavily on the Ravenel--Wilson determination of
                 the relevant Hopf ring. The resulting $(i -
                 1)$-connected $H$-spaces $Y$_i$$ have free connective
                 Morava $K$-homology $k(n)$_*$ (Y$_i$)$, and may be
                 built from the spaces in the $\Omega$-spectrum for
                 $k(n)$ using only $v$_n$$-torsion invariants. We also
                 extend Quillen's theorem on complex cobordism to show
                 that for any space $X$, the $P(n)$_*$$-module $P(n)$^*$
                 (X)$ is generated by elements of $P(n)$^i$ (X)$ for $i
                 \ge 0$. This result is essential for the work of
                 Ravenel--Wilson--Yagita, which in many cases allows one
                 to compute BP-cohomology from Morava $K$-theory.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Bu:2007:MRO,
  author =       "Shangquan Bu and Christian Merdy Le",
  title =        "{$H^p$}-Maximal Regularity and Operator Valued
                 Multipliers on {Hardy} Spaces",
  journal =      j-CAN-J-MATH,
  volume =       "59",
  number =       "??",
  pages =        "1207--1222",
  month =        "????",
  year =         "2007",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2007-051-5",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v59/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We consider maximal regularity in the $H^p$ sense for
                 the Cauchy problem $u$^'$ (t) + Au(t) = f(t) (t \in
                 {\mathbb R})$, where $A$ is a closed operator on a
                 Banach space $X$ and $f$ is an $X$-valued function
                 defined on ${\mathbb R}$. We prove that if $X$ is an
                 AUMD Banach space, then $A$ satisfies $H^p$-maximal
                 regularity if and only if $A$ is Rademacher sectorial
                 of type $< \frac{\pi}{2}$. Moreover we find an operator
                 $A$ with $H^p$-maximal regularity that does not have
                 the classical $L^p$-maximal regularity. We prove a
                 related Mikhlin type theorem for operator valued
                 Fourier multipliers on Hardy spaces $H^p ({\mathbb
                 R};X)$, in the case when $X$ is an AUMD Banach space.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Buraczewski:2007:CZO,
  author =       "Dariusz Buraczewski and Teresa Martinez and Jos{\'e}
                 L. Torrea",
  title =        "{Calder{\'o}n--Zygmund} Operators Associated to
                 Ultraspherical Expansions",
  journal =      j-CAN-J-MATH,
  volume =       "59",
  number =       "??",
  pages =        "1223--1244",
  month =        "????",
  year =         "2007",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2007-052-2",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v59/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We define the higher order Riesz transforms and the
                 Littlewood--Paley $g$-function associated to the
                 differential operator $L$_\lambda$ f(\theta) = -f
                 ``(\theta) - 2 \lambda cot \theta f$^'$ (\theta) +
                 lambda$^2$ f (\theta)$''. We prove that these operators
                 are Calder{\'o}n--Zygmund operators in the homogeneous
                 type space $((0,pi),(sin t)$^{2 lambda}$ dt)$.
                 Consequently, $L^p$ weighted, $H$^1$-L$^1$$ and
                 $L$^\infty$- BMO$ inequalities are obtained.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Chen:2007:GPI,
  author =       "Qun Chen and Zhen-Rong Zhou",
  title =        "On Gap Properties and Instabilities of
                 $p$-{Yang--Mills} Fields",
  journal =      j-CAN-J-MATH,
  volume =       "59",
  number =       "??",
  pages =        "1245--1259",
  month =        "????",
  year =         "2007",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2007-053-x",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v59/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We consider the $p$-Yang--Mills functional $(p \geq
                 2)$ defined as $YM$_p$ (nabla) := \frac 1 p \int$_M$
                 ||R$^{nabla}$ ||^p$. We call critical points of $YM$_p$
                 (cdot)$ the $p$-Yang--Mills connections, and the
                 associated curvature $R$^{nabla}$$ the $p$-Yang--Mills
                 fields. In this paper, we prove gap properties and
                 instability theorems for $p$-Yang--Mills fields over
                 submanifolds in $\mathbb{R}$^{n+k}$$ and
                 $\mathbb{S}$^{n+k}$$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Deng:2007:GEC,
  author =       "Bangming Deng and Jie Du and Jie Xiao",
  title =        "Generic Extensions and Canonical Bases for Cyclic
                 Quivers",
  journal =      j-CAN-J-MATH,
  volume =       "59",
  number =       "??",
  pages =        "1260--1283",
  month =        "????",
  year =         "2007",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2007-054-7",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v59/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We use the monomial basis theory developed by Deng and
                 Du to present an elementary algebraic construction of
                 the canonical bases for both the Ringel--Hall algebra
                 of a cyclic quiver and the positive part {\bf U}$^+$ of
                 the quantum affine $frak{sl}$_n$$. This construction
                 relies on analysis of quiver representations and the
                 introduction of a new integral PBW-like basis for the
                 Lusztig \mathbb Z[v,v$^{-1}$ ]-form of {\bf U}$^+$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Fukshansky:2007:EWD,
  author =       "Lenny Fukshansky",
  title =        "On Effective {Witt} Decomposition and the
                 {Cartan--Dieudonn{\'e}} Theorem",
  journal =      j-CAN-J-MATH,
  volume =       "59",
  number =       "??",
  pages =        "1284--1300",
  month =        "????",
  year =         "2007",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2007-055-4",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v59/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $K$ be a number field, and let $F$ be a symmetric
                 bilinear form in $2N$ variables over $K$. Let $Z$ be a
                 subspace of $K$^N$$. A classical theorem of Witt states
                 that the bilinear space $(Z,F)$ can be decomposed into
                 an orthogonal sum of hyperbolic planes and singular and
                 anisotropic components. We prove the existence of such
                 a decomposition of small height, where all bounds on
                 height are explicit in terms of heights of $F$ and $Z$.
                 We also prove a special version of Siegel's lemma for a
                 bilinear space, which provides a small-height
                 orthogonal decomposition into one-dimensional
                 subspaces. Finally, we prove an effective version of
                 the Cartan--Dieudonn{\'e} theorem. Namely, we show that
                 every isometry $\sigma$ of a regular bilinear space
                 $(Z,F)$ can be represented as a product of reflections
                 of bounded heights with an explicit bound on heights in
                 terms of heights of $F$, $Z$, and $\sigma$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Furioli:2007:SIW,
  author =       "Giulia Furioli and Camillo Melzi and Alessandro
                 Veneruso",
  title =        "{Strichartz} Inequalities for the Wave Equation with
                 the Full {Laplacian} on the {Heisenberg} Group",
  journal =      j-CAN-J-MATH,
  volume =       "59",
  number =       "??",
  pages =        "1301--1322",
  month =        "????",
  year =         "2007",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2007-056-1",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v59/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We prove dispersive and Strichartz inequalities for
                 the solution of the wave equation related to the full
                 Laplacian on the Heisenberg group, by means of Besov
                 spaces defined by a Littlewood--Paley decomposition
                 related to the spectral resolution of the full
                 Laplacian. This requires a careful analysis due also to
                 the non-homogeneous nature of the full Laplacian. This
                 result has to be compared to a previous one by Bahouri,
                 G{\'e}rard and Xu concerning the solution of the wave
                 equation related to the Kohn Laplacian.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Ginzburg:2007:CJL,
  author =       "David Ginzburg and Erez Lapid",
  title =        "On a Conjecture of {Jacquet}, {Lai}, and {Rallis}:
                 Some Exceptional Cases",
  journal =      j-CAN-J-MATH,
  volume =       "59",
  number =       "??",
  pages =        "1323--1340",
  month =        "????",
  year =         "2007",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2007-057-9",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v59/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We prove two spectral identities. The first one
                 relates the relative trace formula for the spherical
                 variety ${\rm GSpin}(4,3)/G_2$ with a weighted trace
                 formula for $\GL_2$. The second relates a spherical
                 variety pertaining to $F_4$ to one of ${\rm GSp}(6)$.
                 These identities are in accordance with a conjecture
                 made by Jacquet, Lai, and Rallis, and are obtained
                 without an appeal to a geometric comparison.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Anonymous:2007:AII,
  author =       "Anonymous",
  title =        "Author Index - Index des auteurs --- for 2007 - pour
                 2007",
  journal =      j-CAN-J-MATH,
  volume =       "59",
  number =       "6",
  pages =        "1341--1344",
  month =        dec,
  year =         "2007",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2007-058-6",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v59/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Boroczky:2008:CBM,
  author =       "K{\'a}roly B{\"o}r{\"o}czky and K{\'a}roly J.
                 B{\"o}r{\"o}czky and Carsten Sch{\"u}tt and Gergely
                 Wintsche",
  title =        "Convex Bodies of Minimal Volume, Surface Area and Mean
                 Width with Respect to Thin Shells",
  journal =      j-CAN-J-MATH,
  volume =       "60",
  number =       "??",
  pages =        "3--32",
  month =        "????",
  year =         "2008",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2008-001-x",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v60/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Given $r > 1$, we consider convex bodies in $E$^n$$
                 which contain a fixed unit ball, and whose extreme
                 points are of distance at least $r$ from the centre of
                 the unit ball, and we investigate how well these convex
                 bodies approximate the unit ball in terms of volume,
                 surface area and mean width. As $r$ tends to one, we
                 prove asymptotic formulae for the error of the
                 approximation, and provide good estimates on the
                 involved constants depending on the dimension.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Braun:2008:HOT,
  author =       "R{\"u}diger W. Braun and Reinhold Meise and B. A.
                 Taylor",
  title =        "Higher Order Tangents to Analytic Varieties along
                 Curves. {II}",
  journal =      j-CAN-J-MATH,
  volume =       "60",
  number =       "??",
  pages =        "33--63",
  month =        "????",
  year =         "2008",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2008-002-7",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v60/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $V$ be an analytic variety in some open set in
                 ${\mathbb C}$^n$$. For a real analytic curve $\gamma$
                 with $\gamma(0) = 0$ and $d \ge 1$ define $V$_t$ =
                 t$^{-d}$ (V - \gamma(t))$. It was shown in a previous
                 paper that the currents of integration over $V$_t$$
                 converge to a limit current whose support
                 $T$_{\gamma,d}$ V$ is an algebraic variety as $t$ tends
                 to zero. Here, it is shown that the canonical defining
                 function of the limit current is the suitably
                 normalized limit of the canonical defining functions of
                 the $V$_t$$. As a corollary, it is shown that
                 $T$_{\gamma,d}$ V$ is either inhomogeneous or coincides
                 with $T$_{\gamma, \delta}$ V$ for all $\delta$ in some
                 neighborhood of $d$. As another application it is shown
                 that for surfaces only a finite number of curves lead
                 to limit varieties that are interesting for the
                 investigation of Phragm{\'e}n--Lindel{\"o}f conditions.
                 Corresponding results for limit varieties $T$_{\sigma,
                 \delta}$ W$ of algebraic varieties W along real
                 analytic curves tending to infinity are derived by a
                 reduction to the local case.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Daigle:2008:CLW,
  author =       "Daniel Daigle",
  title =        "Classification of Linear Weighted Graphs Up to
                 Blowing-Up and Blowing-Down",
  journal =      j-CAN-J-MATH,
  volume =       "60",
  number =       "??",
  pages =        "64--87",
  month =        "????",
  year =         "2008",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2008-003-2",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v60/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We classify linear weighted graphs up to the
                 blowing-up and blowing-down operations which are
                 relevant for the study of algebraic surfaces.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Diwadkar:2008:NCC,
  author =       "Jyotsna Mainkar Diwadkar",
  title =        "Nilpotent Conjugacy Classes in $p$-adic {Lie}
                 Algebras: The Odd Orthogonal Case",
  journal =      j-CAN-J-MATH,
  volume =       "60",
  number =       "??",
  pages =        "88--108",
  month =        "????",
  year =         "2008",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2008-004-6",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v60/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We will study the following question: Are nilpotent
                 conjugacy classes of reductive Lie algebras over
                 $p$-adic fields definable? By definable, we mean
                 definable by a formula in Pas's language. In this
                 language, there are no field extensions and no
                 uniformisers. Using Waldspurger's parametrization, we
                 answer in the affirmative in the case of special
                 orthogonal Lie algebras $\mathfrak{so}(n)$ for $n$ odd,
                 over $p$-adic fields.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Gurjar:2008:ALA,
  author =       "R. V. Gurjar and K. Masuda and M. Miyanishi and P.
                 Russell",
  title =        "Affine Lines on Affine Surfaces and the
                 {Makar--Limanov} Invariant",
  journal =      j-CAN-J-MATH,
  volume =       "60",
  number =       "??",
  pages =        "109--139",
  month =        "????",
  year =         "2008",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2008-005-8",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v60/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "A smooth affine surface $X$ defined over the complex
                 field ${\mathbb C}$ is an ML $$_0$$ surface if the
                 Makar--Limanov invariant ML $(X)$ is trivial. In this
                 paper we study the topology and geometry of ML $$_0$$
                 surfaces. Of particular interest is the question: Is
                 every curve $C$ in $X$ which is isomorphic to the
                 affine line a fiber component of an ${\mathbb
                 A}$^1$$-fibration on $X$? We shall show that the answer
                 is affirmative if the Picard number $rho(X) = 0$, but
                 negative in case $rho(X) \ge 1$. We shall also study
                 the ascent and descent of the ML $$_0$$ property under
                 proper maps.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Kedlaya:2008:GTC,
  author =       "Kiran S. Kedlaya",
  title =        "On the Geometry of $p$-Typical Covers in
                 Characteristic $p$",
  journal =      j-CAN-J-MATH,
  volume =       "60",
  number =       "??",
  pages =        "140--163",
  month =        "????",
  year =         "2008",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2008-006-8",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v60/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "For $p$ a prime, a $p$-typical cover of a connected
                 scheme on which $p = 0$ is a finite {\'e}tale cover
                 whose monodromy group ( $i.e.,$ the Galois group of its
                 normal closure) is a $p$-group. The geometry of such
                 covers exhibits some unexpectedly pleasant behaviors;
                 building on work of Katz, we demonstrate some of these.
                 These include a criterion for when a morphism induces
                 an isomorphism of the $p$-typical quotients of the
                 {\'e}tale fundamental groups, and a decomposition
                 theorem for $p$-typical covers of polynomial rings over
                 an algebraically closed field.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Lee:2008:BSH,
  author =       "Sangyop Lee and Masakazu Teragaito",
  title =        "Boundary Structure of Hyperbolic $3$-Manifolds
                 Admitting Annular and Toroidal Fillings at Large
                 Distance",
  journal =      j-CAN-J-MATH,
  volume =       "60",
  number =       "??",
  pages =        "164--188",
  month =        "????",
  year =         "2008",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2008-007-6",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v60/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "For a hyperbolic 3-manifold $M$ with a torus boundary
                 component, all but finitely many Dehn fillings yield
                 hyperbolic 3-manifolds. In this paper, we will focus on
                 the situation where $M$ has two exceptional Dehn
                 fillings: an annular filling and a toroidal filling.
                 For such a situation, Gordon gave an upper bound of 5
                 for the distance between such slopes. Furthermore, the
                 distance 4 is realized only by two specific manifolds,
                 and 5 is realized by a single manifold. These manifolds
                 all have a union of two tori as their boundaries. Also,
                 there is a manifold with three tori as its boundary
                 which realizes the distance 3. We show that if the
                 distance is 3 then the boundary of the manifold
                 consists of at most three tori.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Lin:2008:FTA,
  author =       "Huaxin Lin",
  title =        "{Furstenberg} Transformations and Approximate
                 Conjugacy",
  journal =      j-CAN-J-MATH,
  volume =       "60",
  number =       "??",
  pages =        "189--207",
  month =        "????",
  year =         "2008",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2008-008-2",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v60/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $\alpha$ and $\beta$ be two Furstenberg
                 transformations on 2-torus associated with irrational
                 numbers $\theta$_1$$, $\theta$_2$$, integers $d$_1$,
                 d$_2$$ and Lipschitz functions $f$_1$$ and $f$_2$$. It
                 is shown that $\alpha$ and $\beta$ are approximately
                 conjugate in a measure theoretical sense if (and only
                 if) $\overline {\theta$_1$ \pm \theta$_2$}= 0$ in
                 ${\mathbb R}/{\mathbb Z}$. Closely related to the
                 classification of simple amenable $C$^*$$-algebras, it
                 is shown that $\alpha$ and $\beta$ are approximately
                 $K$-conjugate if (and only if) $\overline {\theta$_1$
                 \pm \theta$_2$} = 0$ in ${\mathbb R}/{\mathbb Z}$ and
                 $|d$_1$ | = |d$_2$ |$. This is also shown to be
                 equivalent to the condition that the associated crossed
                 product $C$^*$$-algebras are isomorphic.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Ramakrishna:2008:CGR,
  author =       "Ravi Ramakrishna",
  title =        "Constructing {Galois} Representations with Very Large
                 Image",
  journal =      j-CAN-J-MATH,
  volume =       "60",
  number =       "??",
  pages =        "208--221",
  month =        "????",
  year =         "2008",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2008-009-7",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v60/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Starting with a 2-dimensional mod $p$ Galois
                 representation, we construct a deformation to a power
                 series ring in infinitely many variables over the
                 $p$-adics. The image of this representation is full in
                 the sense that it contains $SL$_2$$ of this power
                 series ring. Furthermore, all ${\mathbb Z}$_p$$
                 specializations of this deformation are potentially
                 semistable at $p$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Silipo:2008:ASE,
  author =       "James Silipo",
  title =        "Amibes de sommes d'exponentielles",
  journal =      j-CAN-J-MATH,
  volume =       "60",
  number =       "??",
  pages =        "222--240",
  month =        "????",
  year =         "2008",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2008-010-5",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v60/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "L'objectif de cet article est d'{\'e}tudier la notion
                 d'amibe au sens de Favorov pour les syst{\`e}mes finis
                 de sommes d'exponentielles {\`a} fr{\'e}quences
                 r{\'e}elles et de montrer que, sous des hypoth{\`e}ses
                 de g{\'e}n{\'e}ricit{\'e} sur les fr{\'e}quences, le
                 compl{\'e}mentaire de l'amibe d'un syst{\`e}me de
                 $(k+1)$ sommes d'exponentielles {\`a} fr{\'e}quences
                 r{\'e}elles est un sous-ensemble $k$-convexe au sens
                 d'Henriques.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Alexandrova:2008:SCW,
  author =       "Ivana Alexandrova",
  title =        "Semi-Classical Wavefront Set and {Fourier} Integral
                 Operators",
  journal =      j-CAN-J-MATH,
  volume =       "60",
  number =       "??",
  pages =        "241--263",
  month =        "????",
  year =         "2008",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2008-011-7",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v60/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Here we define and prove some properties of the
                 semi-classical wavefront set. We also define and study
                 semi-classical Fourier integral operators and prove a
                 generalization of Egorov's theorem to manifolds of
                 different dimensions.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Baake:2008:EES,
  author =       "Michael Baake and Ellen Baake",
  title =        "Erratum to: {``An Exactly Solved Model for
                 Recombination, Mutation and Selection''}",
  journal =      j-CAN-J-MATH,
  volume =       "60",
  number =       "??",
  pages =        "264--265",
  month =        "????",
  year =         "2008",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2008-012-1",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v60/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  note =         "See \cite{Baake:2003:ESM}.",
  abstract =     ".",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Bergeron:2008:ICS,
  author =       "Nantel Bergeron and Christophe Reutenauer and Mercedes
                 Rosas and Mike Zabrocki",
  title =        "Invariants and Coinvariants of the Symmetric Group in
                 Noncommuting Variables",
  journal =      j-CAN-J-MATH,
  volume =       "60",
  number =       "??",
  pages =        "266--296",
  month =        "????",
  year =         "2008",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2008-013-4",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v60/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We introduce a natural Hopf algebra structure on the
                 space of noncommutative symmetric functions. The bases
                 for this algebra are indexed by set partitions. We show
                 that there exists a natural inclusion of the Hopf
                 algebra of noncommutative symmetric functions in this
                 larger space. We also consider this algebra as a
                 subspace of noncommutative polynomials and use it to
                 understand the structure of the spaces of harmonics and
                 coinvariants with respect to this collection of
                 noncommutative polynomials and conclude two analogues
                 of Chevalley's theorem in the noncommutative setting.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Bini:2008:TFH,
  author =       "G. Bini and I. P. Goulden and D. M. Jackson",
  title =        "Transitive Factorizations in the Hyperoctahedral
                 Group",
  journal =      j-CAN-J-MATH,
  volume =       "60",
  number =       "??",
  pages =        "297--312",
  month =        "????",
  year =         "2008",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2008-014-5",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v60/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "The classical Hurwitz enumeration problem has a
                 presentation in terms of transitive factorizations in
                 the symmetric group. This presentation suggests a
                 generalization from type $A$ to other finite reflection
                 groups and, in particular, to type $B$. We study this
                 generalization both from a combinatorial and a
                 geometric point of view, with the prospect of providing
                 a means of understanding more of the structure of the
                 moduli spaces of maps with an $\mathfrak
                 S$_2$$-symmetry. The type $A$ case has been well
                 studied and connects Hurwitz numbers to the moduli
                 space of curves. We conjecture an analogous setting for
                 the type $B$ case that is studied here.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Choi:2008:API,
  author =       "Yong-Kab Choi and Mikl{\'o}s Cs{\"o}rg\H o",
  title =        "Asymptotic Properties for Increments of
                 $l^{\infty}$-Valued {Gaussian} Random Fields",
  journal =      j-CAN-J-MATH,
  volume =       "60",
  number =       "??",
  pages =        "313--333",
  month =        "????",
  year =         "2008",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2008-015-4",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v60/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "This paper establishes general theorems which contain
                 both moduli of continuity and large incremental results
                 for $l$^\infty$$-valued Gaussian random fields indexed
                 by a multidimensional parameter under explicit
                 conditions.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Curry:2008:LPF,
  author =       "Eva Curry",
  title =        "Low-Pass Filters and Scaling Functions for
                 Multivariable Wavelets",
  journal =      j-CAN-J-MATH,
  volume =       "60",
  number =       "??",
  pages =        "334--347",
  month =        "????",
  year =         "2008",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2008-016-1",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v60/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We show that a characterization of scaling functions
                 for multiresolution analyses given by Hern{\'a}ndez and
                 Weiss and that a characterization of low-pass filters
                 given by Gundy both hold for multivariable
                 multiresolution analyses.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Santos:2008:MFA,
  author =       "F. Guill{\'e}n Santos and V. Navarro and P. Pascual
                 and Agust{\'\i} Roig",
  title =        "Monoidal Functors, Acyclic Models and Chain Operads",
  journal =      j-CAN-J-MATH,
  volume =       "60",
  number =       "??",
  pages =        "348--378",
  month =        "????",
  year =         "2008",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2008-017-7",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v60/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We prove that for a topological operad $P$ the operad
                 of oriented cubical singular chains, $C$_*^{ord}$ (P)$,
                 and the operad of simplicial singular chains, $S$_*$
                 (P)$, are weakly equivalent. As a consequence,
                 $C$_*^{ord}$ (P; \mathbb{Q})$ is formal if and only if
                 $S$_*$ (P; \mathbb{Q})$ is formal, thus linking
                 together some formality results which are spread out in
                 the literature. The proof is based on an acyclic models
                 theorem for monoidal functors. We give different
                 variants of the acyclic models theorem and apply the
                 contravariant case to study the cohomology theories for
                 simplicial sets defined by $R$-simplicial differential
                 graded algebras.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Jorgensen:2008:FCM,
  author =       "Peter J{\o}rgensen",
  title =        "Finite {Cohen--Macaulay} Type and Smooth
                 Non-Commutative Schemes",
  journal =      j-CAN-J-MATH,
  volume =       "60",
  number =       "??",
  pages =        "379--390",
  month =        "????",
  year =         "2008",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2008-018-0",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v60/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "A commutative local Cohen--Macaulay ring $R$ of finite
                 Cohen--Macaulay type is known to be an isolated
                 singularity; that is, Spec $(R) setminus {\mathfrak
                 {m}$ is smooth. This paper proves a non-commutative
                 analogue. Namely, if $A$ is a (non-commutative) graded
                 Artin--Schelter Cohen--Macaulay algebra which is fully
                 bounded Noetherian and has finite Cohen--Macaulay type,
                 then the non-commutative projective scheme determined
                 by $A$ is smooth.??}",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Migliore:2008:GWL,
  author =       "Juan C. Migliore",
  title =        "The Geometry of the Weak {Lefschetz} Property and
                 Level Sets of Points",
  journal =      j-CAN-J-MATH,
  volume =       "60",
  number =       "??",
  pages =        "391--411",
  month =        "????",
  year =         "2008",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2008-019-2",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v60/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "In a recent paper, F. Zanello showed that level
                 Artinian algebras in 3 variables can fail to have the
                 Weak Lefschetz Property (WLP), and can even fail to
                 have unimodal Hilbert function. We show that the same
                 is true for the Artinian reduction of reduced, level
                 sets of points in projective 3-space. Our main goal is
                 to begin an understanding of how the geometry of a set
                 of points can prevent its Artinian reduction from
                 having WLP, which in itself is a very algebraic notion.
                 More precisely, we produce level sets of points whose
                 Artinian reductions have socle types 3 and 4 and
                 arbitrary socle degree $geq 12$ (in the worst case),
                 but fail to have WLP. We also produce a level set of
                 points whose Artinian reduction fails to have unimodal
                 Hilbert function; our example is based on Zanello's
                 example. Finally, we show that a level set of points
                 can have Artinian reduction that has WLP but fails to
                 have the Strong Lefschetz Property. While our
                 constructions are all based on basic double G-linkage,
                 the implementations use very different methods.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Nguyen-Chu:2008:QCT,
  author =       "G.-V. Nguyen-Chu",
  title =        "Quelques calculs de traces compactes et leurs
                 transform{\'e}es de {Satake}. ({French}) [{Some}
                 calculations of compact traces and their {Satake}
                 transforms]",
  journal =      j-CAN-J-MATH,
  volume =       "60",
  number =       "??",
  pages =        "412--442",
  month =        "????",
  year =         "2008",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2008-020-8",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v60/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "On calcule les restrictions {\`a} l'alg{\`e}bre de
                 Hecke sph{\'e}rique des traces tordues compactes d'un
                 ensemble de repr{\'e}sentations explicitement
                 construites du groupe {\bf GL} $(N, F)$, o{\`u} $F$ est
                 un corps $p$-adique. Ces calculs r{\'e}solve en
                 particulier une question pos{\'e}e dans un article
                 pr{\'e}c{\'e}dent du m{\^e}me auteur.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
  language =     "French",
}

@Article{Shen:2008:CPF,
  author =       "Z. Shen and G. Civi Yildirim",
  title =        "On a Class of Projectively Flat Metrics with Constant
                 Flag Curvature",
  journal =      j-CAN-J-MATH,
  volume =       "60",
  number =       "??",
  pages =        "443--456",
  month =        "????",
  year =         "2008",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2008-021-1",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v60/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "In this paper, we find equations that characterize
                 locally projectively flat Finsler metrics in the form
                 $F = (\alpha + \beta)$^2$ /\alpha$, where $\alpha =
                 \sqrt{a$_{ij}$ y$^i$ y$^j$}$ is a Riemannian metric and
                 $\beta = b$_i$ y$^i$$ is a 1-form. Then we completely
                 determine the local structure of those with constant
                 flag curvature.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Teplyaev:2008:HCF,
  author =       "Alexander Teplyaev",
  title =        "Harmonic Coordinates on Fractals with Finitely
                 Ramified Cell Structure",
  journal =      j-CAN-J-MATH,
  volume =       "60",
  number =       "??",
  pages =        "457--480",
  month =        "????",
  year =         "2008",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2008-022-3",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v60/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We define sets with finitely ramified cell structure,
                 which are generalizations of post-critically finite
                 self-similar sets introduced by Kigami and of
                 fractafolds introduced by Strichartz. In general, we do
                 not assume even local self-similarity, and allow
                 countably many cells connected at each junction point.
                 In particular, we consider post-critically infinite
                 fractals. We prove that if Kigami's resistance form
                 satisfies certain assumptions, then there exists a weak
                 Riemannian metric such that the energy can be expressed
                 as the integral of the norm squared of a weak gradient
                 with respect to an energy measure. Furthermore, we
                 prove that if such a set can be homeomorphically
                 represented in harmonic coordinates, then for smooth
                 functions the weak gradient can be replaced by the
                 usual gradient. We also prove a simple formula for the
                 energy measure Laplacian in harmonic coordinates.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Breuer:2008:HPR,
  author =       "Florian Breuer and Bo-Hae Im",
  title =        "{Heegner} Points and the Rank of Elliptic Curves over
                 Large Extensions of Global Fields",
  journal =      j-CAN-J-MATH,
  volume =       "60",
  number =       "??",
  pages =        "481--490",
  month =        "????",
  year =         "2008",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2008-023-0",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v60/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $k$ be a global field, $\overline {k}$ a separable
                 closure of $k$, and $G$_k$$ the absolute Galois group
                 $Gal(\overline {k}/k)$ of $\overline {k}$ over $k$. For
                 every $\sigma \in G$_k$$, let $\overline
                 {k}$^{\sigma}$$ be the fixed subfield of $\overline
                 {k}$ under $\sigma$. Let $E/k$ be an elliptic curve
                 over $k$. It is known that the Mordell--Weil group
                 $E(\overline {k}$^{\sigma}$)$ has infinite rank. We
                 present a new proof of this fact in the following two
                 cases. First, when $k$ is a global function field of
                 odd characteristic and $E$ is parametrized by a
                 Drinfeld modular curve, and secondly when $k$ is a
                 totally real number field and $E/k$ is parametrized by
                 a Shimura curve. In both cases our approach uses the
                 non-triviality of a sequence of Heegner points on $E$
                 defined over ring class fields.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Bugeaud:2008:MFA,
  author =       "Yann Bugeaud and Maurice Mignotte and Samir Siksek",
  title =        "A Multi-{Frey} Approach to Some Multi-Parameter
                 Families of {Diophantine} Equations",
  journal =      j-CAN-J-MATH,
  volume =       "60",
  number =       "??",
  pages =        "491--519",
  month =        "????",
  year =         "2008",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2008-024-9",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v60/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We solve several multi-parameter families of binomial
                 Thue equations of arbitrary degree; for example, we
                 solve the equation 5$^u$ x$^n$-2$^r$ 3$^s$ y$^n$ = \pm
                 1, in non-zero integers $x$, $y$ and positive integers
                 $u$, $r$, $s$ and $n \geq 3$. Our approach uses several
                 Frey curves simultaneously, Galois representations and
                 level-lowering, new lower bounds for linear forms in 3
                 logarithms due to Mignotte and a famous theorem of
                 Bennett on binomial Thue equations.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Chen:2008:MWN,
  author =       "Chang-Pao Chen and Hao-Wei Huang and Chun-Yen Shen",
  title =        "Matrices Whose Norms Are Determined by Their Actions
                 on Decreasing Sequences",
  journal =      j-CAN-J-MATH,
  volume =       "60",
  number =       "??",
  pages =        "520--531",
  month =        "????",
  year =         "2008",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2008-025-5",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v60/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $A = (a$_{j,k}$)$_{j,k \ge 1}$$ be a non-negative
                 matrix. In this paper, we characterize those $A$ for
                 which $||A||$_{E, F}$$ are determined by their actions
                 on decreasing sequences, where $E$ and $F$ are suitable
                 normed Riesz spaces of sequences. In particular, our
                 results can apply to the following spaces: $ell$_p$$,
                 $d(w,p)$, and $ell$_p$ (w)$. The results established
                 here generalize ones given by Bennett; Chen, Luor, and
                 Ou; Jameson; and Jameson and Lashkaripour.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Clark:2008:LBT,
  author =       "Pete L. Clark and Xavier Xarles",
  title =        "Local Bounds for Torsion Points on {Abelian}
                 Varieties",
  journal =      j-CAN-J-MATH,
  volume =       "60",
  number =       "??",
  pages =        "532--555",
  month =        "????",
  year =         "2008",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2008-026-x",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v60/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We say that an abelian variety over a $p$-adic field
                 $K$ has anisotropic reduction (AR) if the special fiber
                 of its N{\'e}ron minimal model does not contain a
                 nontrivial split torus. This includes all abelian
                 varieties with potentially good reduction and, in
                 particular, those with complex or quaternionic
                 multiplication. We give a bound for the size of the
                 $K$-rational torsion subgroup of a $g$-dimensional AR
                 variety depending only on $g$ and the numerical
                 invariants of $K$ (the absolute ramification index and
                 the cardinality of the residue field). Applying these
                 bounds to abelian varieties over a number field with
                 everywhere locally anisotropic reduction, we get bounds
                 which, as a function of $g$, are close to optimal. In
                 particular, we determine the possible cardinalities of
                 the torsion subgroup of an AR abelian surface over the
                 rational numbers, up to a set of 11 values which are
                 not known to occur. The largest such value is 72.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Draisma:2008:PSI,
  author =       "Jan Draisma and Gregor Kemper and David Wehlau",
  title =        "Polarization of Separating Invariants",
  journal =      j-CAN-J-MATH,
  volume =       "60",
  number =       "??",
  pages =        "556--571",
  month =        "????",
  year =         "2008",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2008-027-2",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v60/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We prove a characteristic free version of Weyl's
                 theorem on polarization. Our result is an exact
                 analogue of Weyl's theorem, the difference being that
                 our statement is about separating invariants rather
                 than generating invariants. For the special case of
                 finite group actions we introduce the concept of $cheap
                 polarization$, and show that it is enough to take cheap
                 polarizations of invariants of just one copy of a
                 representation to obtain separating vector invariants
                 for any number of copies. This leads to upper bounds on
                 the number and degrees of separating vector invariants
                 of finite groups.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Hitrik:2008:NSP,
  author =       "Michael Hitrik and Johannes Sj{\"o}strand",
  title =        "Non-Selfadjoint Perturbations of Selfadjoint Operators
                 in Two Dimensions {IIIa}. One Branching Point",
  journal =      j-CAN-J-MATH,
  volume =       "60",
  number =       "??",
  pages =        "572--657",
  month =        "????",
  year =         "2008",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2008-028-3",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v60/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "This is the third in a series of works devoted to
                 spectral asymptotics for non-selfadjoint perturbations
                 of selfadjoint $h$-pseudodifferential operators in
                 dimension 2, having a periodic classical flow. Assuming
                 that the strength $epsilon$ of the perturbation is in
                 the range $h$^2$ < < epsilon < < h$^{1/2}$$ (and may
                 sometimes reach even smaller values), we get an
                 asymptotic description of the eigenvalues in rectangles
                 $[-1/C, 1/C] + i epsilon [F$_0$- 1/C, F$_0$ + 1/C]$, $C
                 > > 1$, when $epsilon F$_0$$ is a saddle point value of
                 the flow average of the leading perturbation.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Mihailescu:2008:IPE,
  author =       "Eugen Mihailescu and Mariusz Urba{\'n}ski",
  title =        "Inverse Pressure Estimates and the Independence of
                 Stable Dimension for Non-Invertible Maps",
  journal =      j-CAN-J-MATH,
  volume =       "60",
  number =       "??",
  pages =        "658--684",
  month =        "????",
  year =         "2008",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2008-029-2",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v60/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We study the case of an Axiom A holomorphic
                 non-degenerate (hence non-invertible) map $f \from
                 {\mathbb P}$^2$ {\mathbb C} \to {\mathbb P}$^2$
                 {\mathbb C}$, where ${\mathbb P}$^2$ {\mathbb C}$
                 stands for the complex projective space of dimension 2.
                 Let $Lambda$ denote a basic set for $f$ of unstable
                 index 1, and $x$ an arbitrary point of $Lambda$; we
                 denote by $\delta$^s$ (x)$ the Hausdorff dimension of
                 $W$^s_r$ (x) \cap Lambda$, where $r$ is some fixed
                 positive number and $W$^s_r$ (x)$ is the local stable
                 manifold at $x$ of size $r$; $\delta$^s$ (x)$ is called
                 $the stable dimension at$ $x$. Mihailescu and Urbanski
                 introduced a notion of inverse topological pressure,
                 denoted by $P$^{-, which takes into consideration
                 preimages of points. Manning and McCluskey study the
                 case of hyperbolic diffeomorphisms on real surfaces and
                 give formulas for Hausdorff dimension. Our
                 non-invertible situation is different here since the
                 local unstable manifolds are not uniquely determined by
                 their base point, instead they depend in general on
                 whole prehistories of the base points. Hence our
                 methods are different and are based on using a sequence
                 of inverse pressures for the iterates of f, in order to
                 give upper and lower estimates of the stable dimension.
                 We obtain an estimate of the oscillation of the stable
                 dimension on Lambda. When each point x from Lambda has
                 the same number d' of preimages in Lambda, then we show
                 that \delta s}$ (x)$ is independent of $x$; in fact
                 $\delta$^s$ (x)$ is shown to be equal in this case with
                 the unique zero of the map $t \to P(t phi$^s$- log
                 d')$. We also prove the Lipschitz continuity of the
                 stable vector spaces over $Lambda$; this proof is again
                 different than the one for diffeomorphisms (however,
                 the unstable distribution is not always Lipschitz for
                 conformal non-invertible maps). In the end we include
                 the corresponding results for a real conformal
                 setting.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Savu:2008:CEF,
  author =       "Anamaria Savu",
  title =        "Closed and Exact Functions in the Context of
                 {Ginzburg--Landau} Models",
  journal =      j-CAN-J-MATH,
  volume =       "60",
  number =       "??",
  pages =        "685--702",
  month =        "????",
  year =         "2008",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2008-030-5",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v60/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "For a general vector field we exhibit two Hilbert
                 spaces, namely the space of so called $closed
                 functions$ and the space of $exact functions$ and we
                 calculate the codimension of the space of exact
                 functions inside the larger space of closed functions.
                 In particular we provide a new approach for the known
                 cases: the Glauber field and the second-order
                 Ginzburg--Landau field and for the case of the
                 fourth-order Ginzburg--Landau field.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Toms:2008:SAA,
  author =       "Andrew S. Toms and Wilhelm Winter",
  title =        "{$\mathcal{Z}$}-Stable {ASH} Algebras",
  journal =      j-CAN-J-MATH,
  volume =       "60",
  number =       "??",
  pages =        "703--733",
  month =        "????",
  year =         "2008",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2008-031-6",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v60/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "The Jiang--Su algebra $mathcal Z$ has come to
                 prominence in the classification program for nuclear
                 $C$^*$$-algebras of late, due primarily to the fact
                 that Elliott's classification conjecture in its
                 strongest form predicts that all simple, separable, and
                 nuclear $C$^*$$-algebras with unperforated $mathrm
                 K$-theory will absorb $mathcal Z$ tensorially, $i.e.,$
                 will be $mathcal Z$-stable. There exist counterexamples
                 which suggest that the conjecture will only hold for
                 simple, nuclear, separable and $mathcal Z$-stable
                 $C$^*$$-algebras. We prove that virtually all classes
                 of nuclear $C$^*$$-algebras for which the Elliott
                 conjecture has been confirmed so far consist of
                 $mathcal Z$-stable $C$^*$$-algebras. This follows in
                 large part from the following result, also proved
                 herein: separable and approximately divisible
                 $C$^*$$-algebras are $mathcal Z$-stable.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Baba:2008:GCQ,
  author =       "Srinath Baba and H{\aa}kan Granath",
  title =        "Genus 2 Curves with Quaternionic Multiplication",
  journal =      j-CAN-J-MATH,
  volume =       "60",
  number =       "??",
  pages =        "734--757",
  month =        "????",
  year =         "2008",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2008-033-7",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v60/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We explicitly construct the canonical rational models
                 of Shimura curves, both analytically in terms of
                 modular forms and algebraically in terms of
                 coefficients of genus 2 curves, in the cases of
                 quaternion algebras of discriminant 6 and 10. This
                 emulates the classical construction in the elliptic
                 curve case. We also give families of genus 2 QM curves,
                 whose Jacobians are the corresponding abelian surfaces
                 on the Shimura curve, and with coefficients that are
                 modular forms of weight 12. We apply these results to
                 show that our $j$-functions are supported exactly at
                 those primes where the genus 2 curve does not admit
                 potentially good reduction, and construct fields where
                 this potentially good reduction is attained. Finally,
                 using $j$, we construct the fields of moduli and
                 definition for some moduli problems associated to the
                 Atkin--Lehner group actions.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Bercovici:2008:HSP,
  author =       "H. Bercovici and C. Foias and C. Pearcy",
  title =        "On the Hyperinvariant Subspace Problem. {IV}",
  journal =      j-CAN-J-MATH,
  volume =       "60",
  number =       "??",
  pages =        "758--789",
  month =        "????",
  year =         "2008",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2008-034-2",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v60/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "This paper is a continuation of three recent articles
                 concerning the structure of hyperinvariant subspace
                 lattices of operators on a (separable, infinite
                 dimensional) Hilbert space $H$. We show herein, in
                 particular, that there exists a {``universal''} fixed
                 block-diagonal operator $B$ on $H$ such that if
                 {\epsilon} > 0 is given and $T$ is an arbitrary
                 nonalgebraic operator on $H$, then there exists a
                 compact operator $K$ of norm less than {\epsilon} such
                 that (i) Hlat $(T)$ is isomorphic as a complete lattice
                 to Hlat $(B + K)$ and (ii) $B + K$ is a quasidiagonal,
                 $C$_{00}$$, (BCP)-operator with spectrum and left
                 essential spectrum the unit disc. In the last four
                 sections of the paper, we investigate the possible
                 structures of the hyperlattice of an arbitrary
                 algebraic operator. Contrary to existing conjectures,
                 Hlat $(T)$ need not be generated by the ranges and
                 kernels of the powers of $T$ in the nilpotent case. In
                 fact, this lattice can be infinite.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Blasco:2008:TPC,
  author =       "Laure Blasco",
  title =        "Types, paquets et changement de base: l'exemple de
                 {$U(2, 1)(F_0)$}. {I}. Types simples maximaux et
                 paquets singletons. ({French}) [{Types}, packages and
                 base change: the case of {$U(2, 1)(F_0)$}. {I}.
                 {Simple} maximal types and singleton packets]",
  journal =      j-CAN-J-MATH,
  volume =       "60",
  number =       "??",
  pages =        "790--821",
  month =        "????",
  year =         "2008",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2008-035-6",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v60/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Soit $F$_0$$ un corps local non archim{\'e}dien de
                 caract{\'e}ristique nulle et de caract{\'e}ristique
                 r{\'e}siduelle impaire. J. Rogawski a montr{\'e}
                 l'existence du changement de base entre le groupe
                 unitaire en trois variables $U(2,1)(F$_0$)$, d{\'e}fini
                 relativement {\`a} une extension quadratique $F$ de
                 $F$_0$$, et le groupe lin{\'e}aire GL $(3,F)$. Par
                 ailleurs, nous avons d{\'e}crit les repr{\'e}sentations
                 supercuspidales irr{\'e}ductibles de $U(2,1)(F$_0$)$
                 comme induites {\`a} partir d'un sous-groupe compact
                 ouvert de $U(2,1)(F$_0$)$, description analogue {\`a}
                 celle des repr{\'e}sentations admissibles
                 irr{\'e}ductibles de GL $(3,F)$ obtenue par C. Bushnell
                 et P. Kutzko. A partir de ces descriptions, nous
                 construisons explicitement le changement de base des
                 repr{\'e}sentations tr{\`e}s cuspidales de
                 $U(2,1)(F$_0$)$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
  language =     "French",
}

@Article{Kuwae:2008:MPS,
  author =       "Kazuhiro Kuwae",
  title =        "Maximum Principles for Subharmonic Functions Via Local
                 Semi-{Dirichlet} Forms",
  journal =      j-CAN-J-MATH,
  volume =       "60",
  number =       "??",
  pages =        "822--874",
  month =        "????",
  year =         "2008",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2008-036-8",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v60/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Maximum principles for subharmonic functions in the
                 framework of quasi-regular local semi-Dirichlet forms
                 admitting lower bounds are presented. As applications,
                 we give weak and strong maximum principles for (local)
                 subsolutions of a second order elliptic differential
                 operator on the domain of Euclidean space under
                 conditions on coefficients, which partially generalize
                 the results by Stampacchia.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Mare:2008:CQC,
  author =       "Augustin-Liviu Mare",
  title =        "A Characterization of the Quantum Cohomology Ring of
                 {$G / B$} and Applications",
  journal =      j-CAN-J-MATH,
  volume =       "60",
  number =       "??",
  pages =        "875--891",
  month =        "????",
  year =         "2008",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2008-037-8",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v60/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We observe that the small quantum product of the
                 generalized flag manifold $G/B$. is a product operation
                 $star$ on $H$^*$ (G/B) \otimes {\mathbb R}[q$_1$, dots,
                 q$_l$ ]$ uniquely determined by the facts that: it is a
                 deformation of the cup product on $H$^*$ (G/B)$; it is
                 commutative, associative, and graded with respect to
                 deg $(q$_i$) = 4$; it satisfies a certain relation (of
                 degree two); and the corresponding Dubrovin connection
                 is flat. Previously, we proved that these properties
                 alone imply the presentation of the ring $(H$^*$ (G/B)
                 \otimes {\mathbb R}[q$_1$, dots, q$_l$ ], star)$ in
                 terms of generators and relations. In this paper we use
                 the above observations to give conceptually new proofs
                 of other fundamental results of the quantum Schubert
                 calculus for $G/B$: the quantum Chevalley formula of D.
                 Peterson (see also Fulton and Woodward) and the
                 {``quantization by standard monomials''} formula of
                 Fomin, Gelfand, and Postnikov for $G = SL(n,{\mathbb
                 C})$. The main idea of the proofs is the same as in
                 Amarzaya--Guest: from the quantum {\cal D} -module of
                 $G/B$ one can decode all information about the quantum
                 cohomology of this space.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Neeb:2008:SCC,
  author =       "Karl-Hermann Neeb and Friedrich Wagemann",
  title =        "The Second Cohomology of Current Algebras of General
                 {Lie} Algebras",
  journal =      j-CAN-J-MATH,
  volume =       "60",
  number =       "??",
  pages =        "892--922",
  month =        "????",
  year =         "2008",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2008-038-6",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v60/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $A$ be a unital commutative associative algebra
                 over a field of characteristic zero, $\k$ a Lie
                 algebra, and $\zf$ a vector space, considered as a
                 trivial module of the Lie algebra $\gf := A \otimes
                 \kf$. In this paper, we give a description of the
                 cohomology space $H$^2$ (\gf, \zf)$ in terms of easily
                 accessible data associated with $A$ and $\kf$ We also
                 discuss the topological situation, where $A$ and $\kf$
                 are locally convex algebras.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Okoh:2008:EKM,
  author =       "F. Okoh and F. Zorzitto",
  title =        "Endomorphisms of {Kronecker} Modules Regulated by
                 Quadratic Algebra Extensions of a Function Field",
  journal =      j-CAN-J-MATH,
  volume =       "60",
  number =       "??",
  pages =        "923--957",
  month =        "????",
  year =         "2008",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2008-039-2",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v60/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "The Kronecker modules $\mathbb{V}(m,h, \alpha)$, where
                 $m$ is a positive integer, $h$ is a height function,
                 and $\alpha$ is a $K$-linear functional on the space
                 $K(X)$ of rational functions in one variable $X$ over
                 an algebraically closed field $K$, are models for the
                 family of all torsion-free rank-2 modules that are
                 extensions of finite-dimensional rank-1 modules. Every
                 such module comes with a regulating polynomial $f$ in
                 $K(X)[Y]$. When the endomorphism algebra of
                 $\mathbb{V}(m,h, \alpha)$ is commutative and
                 non-trivial, the regulator $f$ must be quadratic in
                 $Y$. If $f$ has one repeated root in $K(X)$, the
                 endomorphism algebra is the trivial extension $K ltimes
                 S$ for some vector space $S$. If $f$ has distinct roots
                 in $K(X)$, then the endomorphisms form a structure that
                 we call a bridge. These include the coordinate rings of
                 some curves. Regardless of the number of roots in the
                 regulator, those End $\mathbb{V}(m,h, \alpha)$ that are
                 domains have zero radical. In addition, each semi-local
                 End $\mathbb{V}(m,h, \alpha)$ must be either a trivial
                 extension $K ltimes S$ or the product $K times K$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Chen:2008:NCS,
  author =       "Yichao Chen",
  title =        "A Note on a Conjecture of {S. Stahl}",
  journal =      j-CAN-J-MATH,
  volume =       "60",
  number =       "??",
  pages =        "958--959",
  month =        "????",
  year =         "2008",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2008-040-2",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v60/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "S. Stahl (Canad. J. Math. {\bf 49} (1997), no. 3,
                 617--640) conjectured that the zeros of genus
                 polynomial are real. L. Liu and Y. Wang disproved this
                 conjecture on the basis of Example 6.7. In this note,
                 it is pointed out that there is an error in this
                 example and a new generating matrix and initial vector
                 are provided.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Stahl:2008:EZS,
  author =       "Saul Stahl",
  title =        "Erratum: {``On the Zeros of Some Genus
                 Polynomials''}",
  journal =      j-CAN-J-MATH,
  volume =       "60",
  number =       "??",
  pages =        "960--960",
  month =        "????",
  year =         "2008",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2008-041-0",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v60/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  note =         "See \cite{Stahl:1997:ZSG}.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Abrescia:2008:ADC,
  author =       "Silvia Abrescia",
  title =        "About the Defectivity of Certain {Segre--Veronese}
                 Varieties",
  journal =      j-CAN-J-MATH,
  volume =       "60",
  number =       "??",
  pages =        "961--974",
  month =        "????",
  year =         "2008",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2008-042-7",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v60/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We study the regularity of the higher secant varieties
                 of $\mathbb P$^1$ times \mathbb P$^n$$, embedded with
                 divisors of type $(d,2)$ and $(d,3)$. We produce, for
                 the highest defective cases, a {``determinantal''}
                 equation of the secant variety. As a corollary, we
                 prove that the Veronese triple embedding of $\mathbb
                 P$^n$$ is not Grassmann defective.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Boca:2008:AAA,
  author =       "Florin P. Boca",
  title =        "An {AF} Algebra Associated with the {Farey}
                 Tessellation",
  journal =      j-CAN-J-MATH,
  volume =       "60",
  number =       "??",
  pages =        "975--1000",
  month =        "????",
  year =         "2008",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2008-043-1",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v60/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We associate with the Farey tessellation of the upper
                 half-plane an AF algebra $gothic U$ encoding the
                 {``cutting sequences''} that define vertical geodesics.
                 The Effros--Shen AF algebras arise as quotients of
                 $gothic U$. Using the path algebra model for AF
                 algebras we construct, for each $tau \in (0, 1/4]$,
                 projections $(E$_n$)$ in $gothic U$ such that $E$_n$
                 E$_{n \pm 1}$ E$_n$ \leq tau E$_n$$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{deCornulier:2008:IGA,
  author =       "Yves de Cornulier and Romain Tessera and Alain
                 Valette",
  title =        "Isometric Group Actions on {Hilbert} Spaces: Structure
                 of Orbits",
  journal =      j-CAN-J-MATH,
  volume =       "60",
  number =       "??",
  pages =        "1001--1009",
  month =        "????",
  year =         "2008",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2008-044-4",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v60/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Our main result is that a finitely generated nilpotent
                 group has no isometric action on an
                 infinite-dimensional Hilbert space with dense orbits.
                 In contrast, we construct such an action with a
                 finitely generated metabelian group.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Gale:2008:FCM,
  author =       "Jos{\'e} E. Gal{\'e} and Pedro J. Miana",
  title =        "{{$H^\infty$}} Functional Calculus and {Mikhlin}-Type
                 Multiplier Conditions",
  journal =      j-CAN-J-MATH,
  volume =       "60",
  number =       "??",
  pages =        "1010--1027",
  month =        "????",
  year =         "2008",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2008-045-5",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v60/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $T$ be a sectorial operator. It is known that the
                 existence of a bounded (suitably scaled) $H$^\infty$$
                 calculus for $T$, on every sector containing the
                 positive half-line, is equivalent to the existence of a
                 bounded functional calculus on the Besov algebra
                 $Lambda$_{\infty,1}^{\alpha}$ (\mathbb R$^+$)$. Such an
                 algebra includes functions defined by Mikhlin-type
                 conditions and so the Besov calculus can be seen as a
                 result on multipliers for $T$. In this paper, we use
                 fractional derivation to analyse in detail the
                 relationship between $Lambda$_{\infty,1}^{\alpha}$$ and
                 Banach algebras of Mikhlin-type. As a result, we obtain
                 a new version of the quoted equivalence.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Hamblen:2008:LDG,
  author =       "Spencer Hamblen",
  title =        "Lifting $n$-Dimensional {Galois} Representations",
  journal =      j-CAN-J-MATH,
  volume =       "60",
  number =       "??",
  pages =        "1028--1049",
  month =        "????",
  year =         "2008",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2008-046-4",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v60/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We investigate the problem of deforming
                 $n$-dimensional mod $p$ Galois representations to
                 characteristic zero. The existence of 2-dimensional
                 deformations has been proven under certain conditions
                 by allowing ramification at additional primes in order
                 to annihilate a dual Selmer group. We use the same
                 general methods to prove the existence of
                 $n$-dimensional deformations. We then examine under
                 which conditions we may place restrictions on the shape
                 of our deformations at $p$, with the goal of showing
                 that under the correct conditions, the deformations may
                 have locally geometric shape. We also use the existence
                 of these deformations to prove the existence as Galois
                 groups over $\mathbb Q$ of certain infinite subgroups
                 of $p$-adic general linear groups.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Huang:2008:APM,
  author =       "Wen-ling Huang and Peter \v Semrl",
  title =        "Adjacency Preserving Maps on {Hermitian} Matrices",
  journal =      j-CAN-J-MATH,
  volume =       "60",
  number =       "??",
  pages =        "1050--1066",
  month =        "????",
  year =         "2008",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2008-047-1",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v60/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Hua's fundamental theorem of the geometry of hermitian
                 matrices characterizes bijective maps on the space of
                 all $n \times n$ hermitian matrices preserving
                 adjacency in both directions. The problem of possible
                 improvements has been open for a while. There are three
                 natural problems here. Do we need the bijectivity
                 assumption? Can we replace the assumption of preserving
                 adjacency in both directions by the weaker assumption
                 of preserving adjacency in one direction only? Can we
                 obtain such a characterization for maps acting between
                 the spaces of hermitian matrices of different sizes? We
                 answer all three questions for the complex hermitian
                 matrices, thus obtaining the optimal structural result
                 for adjacency preserving maps on hermitian matrices
                 over the complex field.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Kariyama:2008:TUA,
  author =       "Kazutoshi Kariyama",
  title =        "On Types for Unramified $p$-Adic Unitary Groups",
  journal =      j-CAN-J-MATH,
  volume =       "60",
  number =       "??",
  pages =        "1067--1107",
  month =        "????",
  year =         "2008",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2008-048-7",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v60/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Let $F$ be a non-archimedean local field of residue
                 characteristic neither 2 nor 3 equipped with a galois
                 involution with fixed field $F$_0$$, and let $G$ be a
                 symplectic group over $F$ or an unramified unitary
                 group over $F$_0$$. Following the methods of
                 Bushnell--Kutzko for GL $(N,F)$, we define an analogue
                 of a simple type attached to a certain skew simple
                 stratum, and realize a type in $G$. In particular, we
                 obtain an irreducible supercuspidal representation of
                 $G$ like GL $(N,F)$.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Lopez-Abad:2008:CTT,
  author =       "J. Lopez-Abad and A. Manoussakis",
  title =        "A Classification of {Tsirelson} Type Spaces",
  journal =      j-CAN-J-MATH,
  volume =       "60",
  number =       "??",
  pages =        "1108--1167",
  month =        "????",
  year =         "2008",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2008-049-0",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v60/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We give a complete classification of mixed Tsirelson
                 spaces $T[(\mathcal F_i, \theta_i)_{i = 1}^r]$ for
                 finitely many pairs of given compact and hereditary
                 families $\mathcal{F}_i$ of finite sets of integers and
                 $0 < \theta_i < 1$ in terms of the Cantor--Bendixson
                 indices of the families $\mathcal{F}_i$, and $\theta_i$
                 ($1 \le i \le r$). We prove that there are unique
                 countable ordinal $\alpha$ and $0 < \theta < 1$ such
                 that every block sequence of $T[(\mathcal F$_i$,
                 \theta$_i$)$_{i=1}^r$ ]$ has a subsequence equivalent
                 to a subsequence of the natural basis of the
                 $T(\mathcal S_{\omega^{\alpha}}, \theta)$. Finally, we
                 give a complete criterion of comparison in between two
                 of these mixed Tsirelson spaces.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Taylor:2008:STB,
  author =       "Michael Taylor",
  title =        "Short Time Behavior of Solutions to Linear and
                 Nonlinear {Schr{\"o}dinger} Equations",
  journal =      j-CAN-J-MATH,
  volume =       "60",
  number =       "??",
  pages =        "1168--1200",
  month =        "????",
  year =         "2008",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2008-051-3",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v60/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We examine the fine structure of the short time
                 behavior of solutions to various linear and nonlinear
                 Schr{\"o}dinger equations $u$_t$ = i \Delta u + q(u)$
                 on $I \times {\mathbb R}$^n$$, with initial data
                 $u(0,x) = f(x)$. Particular attention is paid to cases
                 where $f$ is piecewise smooth, with jump across an
                 $(n-1)$-dimensional surface. We give detailed analyses
                 of Gibbs-like phenomena and also focusing effects,
                 including analogues of the Pinsky phenomenon. We give
                 results for general $n$ in the linear case. We also
                 have detailed analyses for a broad class of nonlinear
                 equations when $n = 1$ and 2, with emphasis on the
                 analysis of the first order correction to the solution
                 of the corresponding linear equation. This work
                 complements estimates on the error in this
                 approximation.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Bahuaud:2008:HCS,
  author =       "Eric Bahuaud and Tracey Marsh",
  title =        "{H{\"o}lder} Compactification for Some Manifolds with
                 Pinched Negative Curvature Near Infinity",
  journal =      j-CAN-J-MATH,
  volume =       "60",
  number =       "??",
  pages =        "1201--1218",
  month =        "????",
  year =         "2008",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2008-051-6",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v60/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We consider a complete noncompact Riemannian manifold
                 $M$ and give conditions on a compact submanifold $K
                 \subset M$ so that the outward normal exponential map
                 off the boundary of $K$ is a diffeomorphism onto $M\K$.
                 We use this to compactify $M$ and show that pinched
                 negative sectional curvature outside $K$ implies $M$
                 has a compactification with a well-defined H{\"o}lder
                 structure independent of $K$. The H{\"o}lder constant
                 depends on the ratio of the curvature pinching. This
                 extends and generalizes a 1985 result of Anderson and
                 Schoen.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Baracco:2008:CEM,
  author =       "Luca Baracco and Giuseppe Zampieri",
  title =        "{CR} Extension from Manifolds of Higher Type",
  journal =      j-CAN-J-MATH,
  volume =       "60",
  number =       "??",
  pages =        "1219--1239",
  month =        "????",
  year =         "2008",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2008-052-x",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v60/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "This paper deals with the extension of CR functions
                 from a manifold $M \subset {\mathbb C}$^n$$ into
                 directions produced by higher order commutators of
                 holomorphic and antiholomorphic vector fields. It uses
                 the theory of complex {``sectors''} attached to real
                 submanifolds introduced in recent joint work of the
                 authors with D. Zaitsev. In addition, it develops a new
                 technique of approximation of sectors by smooth
                 discs.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Beliakova:2008:CCJ,
  author =       "Anna Beliakova and Stephan Wehrli",
  title =        "Categorification of the Colored {Jones} Polynomial and
                 {Rasmussen} Invariant of Links",
  journal =      j-CAN-J-MATH,
  volume =       "60",
  number =       "??",
  pages =        "1240--1266",
  month =        "????",
  year =         "2008",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2008-053-1",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v60/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We define a family of formal Khovanov brackets of a
                 colored link depending on two parameters. The
                 isomorphism classes of these brackets are invariants of
                 framed colored links. The Bar-Natan functors applied to
                 these brackets produce Khovanov and Lee homology
                 theories categorifying the colored Jones polynomial.
                 Further, we study conditions under which framed colored
                 link cobordisms induce chain transformations between
                 our formal brackets. We conjecture that for special
                 choice of parameters, Khovanov and Lee homology
                 theories of colored links are functorial (up to sign).
                 Finally, we extend the Rasmussen invariant to links and
                 give examples where this invariant is a stronger
                 obstruction to sliceness than the multivariable
                 Levine--Tristram signature.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Blake:2008:NRE,
  author =       "Ian F. Blake and V. Kumar Murty and Guangwu Xu",
  title =        "Nonadjacent {Radix-$\tau$} Expansions of Integers in
                 {Euclidean} Imaginary Quadratic Number Fields",
  journal =      j-CAN-J-MATH,
  volume =       "60",
  number =       "??",
  pages =        "1267--1282",
  month =        "????",
  year =         "2008",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2008-054-1",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v60/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "In his seminal papers, Koblitz proposed curves for
                 cryptographic use. For fast operations on these curves,
                 these papers also initiated a study of the radix- $tau$
                 expansion of integers in the number fields ${\mathbb
                 Q}(\sqrt{-3})$ and ${\mathbb Q}(\sqrt{-7})$. The
                 (window) nonadjacent form of $tau$-expansion of
                 integers in ${\mathbb Q}(\sqrt{-7})$ was first
                 investigated by Solinas. For integers in ${\mathbb
                 Q}(\sqrt{-3})$, the nonadjacent form and the window
                 nonadjacent form of the $tau$-expansion were studied.
                 These are used for efficient point multiplications on
                 Koblitz curves. In this paper, we complete the picture
                 by producing the (window) nonadjacent radix- $tau$
                 expansions for integers in all Euclidean imaginary
                 quadratic number fields.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Ho:2008:RLP,
  author =       "Kwok-Pun Ho",
  title =        "Remarks on {Littlewood--Paley} Analysis",
  journal =      j-CAN-J-MATH,
  volume =       "60",
  number =       "??",
  pages =        "1283--1305",
  month =        "????",
  year =         "2008",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2008-055-x",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v60/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Littlewood--Paley analysis is generalized in this
                 article. We show that the compactness of the Fourier
                 support imposed on the analyzing function can be
                 removed. We also prove that the Littlewood--Paley
                 decomposition of tempered distributions converges under
                 a topology stronger than the weak-star topology,
                 namely, the inductive limit topology. Finally, we
                 construct a multiparameter Littlewood--Paley analysis
                 and obtain the corresponding {``renormalization''} for
                 the convergence of this multiparameter
                 Littlewood--Paley analysis.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Muic:2008:TLT,
  author =       "Goran Mui{\'c}",
  title =        "Theta Lifts of Tempered Representations for Dual Pairs
                 {$(\Sp_{2 n}, O(V))$}",
  journal =      j-CAN-J-MATH,
  volume =       "60",
  number =       "??",
  pages =        "1306--1335",
  month =        "????",
  year =         "2008",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2008-056-6",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v60/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "This paper is the continuation of our previous work on
                 the explicit determination of the structure of theta
                 lifts for dual pairs $($ S {\bf p} $$_{2n}$, O(V))$
                 over a non-archimedean field $F$ of characteristic
                 different than 2, where $n$ is the split rank of S {\bf
                 p}$_{2n}$ and the dimension of the space $V$ (over $F$)
                 is even. We determine the structure of theta lifts of
                 tempered representations in terms of theta lifts of
                 representations in discrete series.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Olver:2008:MFL,
  author =       "Peter J. Olver and Juha Pohjanpelto",
  title =        "Moving Frames for {Lie} {Pseudo--Groups}",
  journal =      j-CAN-J-MATH,
  volume =       "60",
  number =       "??",
  pages =        "1336--1386",
  month =        "????",
  year =         "2008",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2008-057-0",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v60/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "We propose a new, constructive theory of moving frames
                 for Lie pseudo-group actions on submanifolds. The
                 moving frame provides an effective means for
                 determining complete systems of differential invariants
                 and invariant differential forms, classifying their
                 syzygies and recurrence relations, and solving
                 equivalence and symmetry problems arising in a broad
                 range of applications.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Romo:2008:DSS,
  author =       "Fernando Pablos Romo",
  title =        "On $n$-Dimensional {Steinberg} Symbols",
  journal =      j-CAN-J-MATH,
  volume =       "60",
  number =       "??",
  pages =        "1387--1405",
  month =        "????",
  year =         "2008",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2008-058-3",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v60/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "The aim of this work is to provide a new approach for
                 constructing $n$-dimensional Steinberg symbols on
                 discrete valuation fields from $(n+1)$-cocycles and to
                 study reciprocity laws on curves related to these
                 symbols.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.ca/cjm/",
}

@Article{Ricotta:2008:HAP,
  author =       "Guillaume Ricotta and Thomas Vidick",
  title =        "Hauteur asymptotique des points de {Heegner}",
  journal =      j-CAN-J-MATH,
  volume =       "60",
  number =       "??",
  pages =        "1406--1436",
  month =        "????",
  year =         "2008",
  CODEN =        "CJMAAB",
  DOI =          "http://dx.doi.org/10.4153/CJM-2008-059-4",
  ISSN =         "0008-414X (print), 1496-4279 (electronic)",
  ISSN-L =       "0008-414X",
  bibdate =      "Sat Sep 10 15:39:14 MDT 2011",
  bibsource =    "http://cms.math.ca/cjm/v60/;
                 http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
  abstract =     "Geometric intuition suggests that the N{\'e}ron--Tate
                 height of Heegner points on a rational elliptic curve
                 $E$ should be asymptotically governed by the degree of
                 its modular parametrisation. In this paper, we show
                 that this geometric intuition asymptotically holds on
                 average over a subset of discriminants. We also study
                 the asymptotic behaviour of traces of Heegner points on
                 average over a subset of discriminants and find a
                 difference according to the rank of the elliptic curve.
                 By the Gross--Zagier formulae, such heights are related
                 to the special value at the critical point for either
                 the derivative of the Rankin--Selberg convolution of
                 $E$ with a certain weight one theta series attached to
                 the principal ideal class of an imaginary quadratic
                 field or the twisted $L$-function of $E$ by a quadratic
                 Dirichlet character. Asymptotic formulae for the first
                 moments associated with these $L$-series and
                 $L$-functions are proved, and experimental results are
                 discussed. The appendix contains some conjectural
                 applications of our results to the problem of the
                 discretisation of odd quadratic twists of elliptic
                 curves.",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Mathematics = Journal canadien de
                 math{\'e}matiques",
  journal-URL =  "http://cms.math.