%%% -*-BibTeX-*-
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%%% 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 = "51040 19687 100307 953165",
%%% email = "beebe at math.utah.edu, beebe at acm.org,
%%% beebe at computer.org (Internet)",
%%% codetable = "ISO/ASCII",
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%%% Mathematics, Journal canadien de
%%% math{\'e}matiques",
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%%% 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
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%%% ====================================================================
%%% 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.ca/cjm/",
}
@Article{Anonymous:2008:AII,
author = "Anonymous",
title = "Author Index --- Index des auteurs",
journal = j-CAN-J-MATH,
volume = "60",
number = "6",
pages = "1437--1440",
month = dec,
year = "2008",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2008-060-9",
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",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Behrend:2009:CCM,
author = "Kai Behrend and Ajneet Dhillon",
title = "Connected Components of Moduli Stacks of Torsors via
{Tamagawa} Numbers",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "3--28",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-001-5",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "Let $X$ be a smooth projective geometrically connected
curve over a finite field with function field $K$. Let
$\cal G$ be a connected semisimple group scheme over
$X$. Under certain hypotheses we prove the equality of
two numbers associated with $\cal G$. The first is an
arithmetic invariant, its Tamagawa number. The second
is a geometric invariant, the number of connected
components of the moduli stack of $\ $\cal G$-torsors
on $X$. Our results are most useful for studying
connected components as much is known about Tamagawa
numbers.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Casanellas:2009:MRC,
author = "M. Casanellas",
title = "The Minimal Resolution Conjecture for Points on the
Cubic Surface",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "29--49",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-002-3",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "In this paper we prove that a generalized version of
the Minimal Resolution Conjecture given by Mustaja
holds for certain general sets of points on a smooth
cubic surface $X subset {\mathbb P}$^3$$. The main tool
used is Gorenstein liaison theory and, more precisely,
the relationship between the free resolutions of two
linked schemes.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Chen:2009:COB,
author = "Huaihui Chen and Paul Gauthier",
title = "Composition operators on $\mu$-Bloch spaces",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "50--75",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-003-1",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "Given a positive continuous function $mu$ on the
interval $0 < t \leq 1$, we consider the space of
so-called $mu$-Bloch functions on the unit ball. If
$mu(t) = t$, these are the classical Bloch functions.
For $mu$, we define a metric $F$_z^\mu$ (u)$ in terms
of which we give a characterization of $mu$-Bloch
functions. Then, necessary and sufficient conditions
are obtained in order that a composition operator be a
bounded or compact operator between these generalized
Bloch spaces. Our results extend those of Zhang and
Xiao.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Christensen:2009:APA,
author = "Lars Winther Christensen and Henrik Holm",
title = "Ascent Properties of {Auslander} Categories",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "76--108",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-004-x",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "Let $R$ be a homomorphic image of a Gorenstein local
ring. Recent work has shown that there is a bridge
between Auslander categories and modules of finite
Gorenstein homological dimensions over $R$. We use
Gorenstein dimensions to prove new results about
Auslander categories and vice versa. For example, we
establish base change relations between the Auslander
categories of the source and target rings of a
homomorphism $varphi : R \to S$ of finite flat
dimension.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Coskun:2009:ACK,
author = "Izzet Coskun and Joe Harris and Jason Starr",
title = "The Ample Cone of the {Kontsevich} Moduli Space",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "109--123",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-005-8",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "We produce ample (resp. NEF, eventually free) divisors
in the Kontsevich space $\overline {\cal M}$_{0,n}$
(\mathbb P$^r$, d)$ of $n$-pointed, genus 0, stable
maps to $\mathbb P$^r$$, given such divisors in
$\overline {\cal M}$_{0,n+d}$$. We prove that this
produces all ample (resp. NEF, eventually free)
divisors in $\overline {\cal M}$_{0,n}$ (\mathbb
P$^r$,d)$. As a consequence, we construct a contraction
of the boundary $\bigcup_{k=1}^{lfloor d/2 \rfloor}
\Delta_{k,d-k}$ in $\overline {\cal M}_{0,0} (\mathbb
P^r,d)$, analogous to a contraction of the boundary
$\bigcup_{k=3}^{lfloor n/2 rfloor}$
$\tilde{\Delta}_{k,n-k}$ in $\overline {\cal M}_{0,n}$
first constructed by Keel and McKernan.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Dijkstra:2009:CCE,
author = "Jan J. Dijkstra and Jan van Mill",
title = "Characterizing Complete {Erd{\H{o}}s} Space",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "124--140",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-006-6",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "The space now known as $complete Erd{\"o}s space$
$\cerdos$ was introduced by Paul Erd{\"o}s in 1940 as
the closed subspace of the Hilbert space $ell$^2$$
consisting of all vectors such that every coordinate is
in the convergent sequence ${0} \cup {1/n : n \in
{\mathbb N}}$. In a solution to a problem posed by Lex
G. Oversteegen we present simple and useful topological
characterizations of $\cerdos$. As an application we
determine the class of factors of $\cerdos$. In another
application we determine precisely which of the spaces
that can be constructed in the Banach spaces $ell^p$
according to the `Erd{\"o}s method' are homeomorphic to
$\cerdos$. A novel application states that if $I$ is a
Polishable $F$_{\sigma}$$-ideal on $\omega$, then $I$
with the Polish topology is homeomorphic to either
${\mathbb Z}$, the Cantor set $2$^{\omega}$$, ${\mathbb
Z} \times 2$^{\omega}$$, or $\cerdos$. This last result
answers a question that was asked by Stevo
Todorcevic.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Green:2009:LPM,
author = "Ben Green and Sergei Konyagin",
title = "On the {Littlewood} Problem Modulo a Prime",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "141--164",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-007-4",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "Let $p$ be a prime, and let $f \from {\mathbb Z}/p
{\mathbb Z} \rightarrow {\mathbb R}$ be a function with
${\mathbb E} f = 0$ and $|| \widehat{f} ||$_1$ \leq 1$.
Then $min$_{x \in {\mathbb Z}/p{\mathbb Z}}$ |f(x)| =
O(log p)$^{{-1/3 + epsilon}}$$. One should think of $f$
as being {``approximately continuous''}; our result is
then an {``approximate intermediate value theorem''}.
As an immediate consequence we show that if $A
\subseteq {\mathbb Z}/p{\mathbb Z}$ is a set of
cardinality $lfloor p/2 rfloor$, then $sum$_r$
|\widehat{1$_A$}(r)| > > (log p)$^{{1/3 - epsilon}.
This gives a result on a ``mod p'' analogue of
Littlewood's well-known problem concerning the smallest
possible L 1}$$-norm of the Fourier transform of a set
of $n$ integers. Another application is to answer a
question of Gowers. If $A \subseteq {\mathbb
Z}/p{\mathbb Z}$ is a set of size $lfloor p/2 rfloor$,
then there is some $x \in {\mathbb Z}/p{\mathbb Z}$
such that $||A \cap (A + x)| - p/4 | = o(p).$",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Laurent:2009:EDA,
author = "Michel Laurent",
title = "Exponents of {Diophantine} Approximation in Dimension
Two",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "165--189",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-008-2",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "Let $\Theta = (\alpha, \beta)$ be a point in ${\mathbb
R}$^2$$, with $1, \alpha, \beta$ linearly independent
over ${\mathbb Q}$. We attach to $\theta$ quadruple
$\Omega(\Theta)$ of exponents that measure the quality
of approximation to $\theta$ both by rational points
and by rational lines. The two {``uniform''} components
of $\Omega(\Theta)$ are related by an equation due to
Jarnik, and the four exponents satisfy two inequalities
that refine Khintchine's transference principle.
Conversely, we show that for any quadruple $\Omega$
fulfilling these necessary conditions, there exists a
point $\Theta \in {\mathbb R}$^2$$ for which
$\Omega(\Theta) = \Omega$.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Lu:2009:BHP,
author = "Yufeng Lu and Shuxia Shang",
title = "Bounded {Hankel} Products on the {Bergman} Space of
the Polydisk",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "190--204",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-009-0",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "We consider the problem of determining for which
square integrable functions $f$ and $g$ on the polydisk
the densely defined Hankel product $H$_f$ H$_g^{\ast}$$
is bounded on the Bergman space of the polydisk.
Furthermore, we obtain similar results for the mixed
Haplitz products $H$_g$ T$_{\bar{f} and T f}$ H$_g^*$$,
where $f$ and $g$ are square integrable on the polydisk
and $f$ is analytic.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Marshall:2009:RNN,
author = "M. Marshall",
title = "Representations of Non-Negative Polynomials, Degree
Bounds and Applications to Optimization",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "205--221",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-010-4",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "Natural sufficient conditions for a polynomial to have
a local minimum at a point are considered. These
conditions tend to hold with probability 1. It is shown
that polynomials satisfying these conditions at each
minimum point have nice presentations in terms of sums
of squares. Applications are given to optimization on a
compact set and also to global optimization. In many
cases, there are degree bounds for such presentations.
These bounds are of theoretical interest, but they
appear to be too large to be of much practical use at
present. In the final section, other more concrete
degree bounds are obtained which ensure at least that
the feasible set of solutions is not empty.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Nien:2009:KMG,
author = "Chufeng Nien",
title = "{Klyachko} Models for General Linear Groups of Rank
$5$ over a $p$-Adic Field",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "222--240",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-011-2",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "This paper shows the existence and uniqueness of
Klyachko models for irreducible unitary representations
of GL $$_5$ (cal F)$, where $\cal F$ is a $p$-adic
field. It is an extension of the work of Heumos and
Rallis on GL $$_4$ (cal F)$.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Azamov:2009:OIS,
author = "N. A. Azamov and A. L. Carey and P. G. Dodds and F. A.
Sukochev",
title = "Operator Integrals, Spectral Shift, and Spectral
Flow",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "241--263",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-012-0",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "We present a new and simple approach to the theory of
multiple operator integrals that applies to unbounded
operators affiliated with general von Neumann algebras.
For semifinite von Neumann algebras we give
applications to the Fr{\'e}chet differentiation of
operator functions that sharpen existing results, and
establish the Birman--Solomyak representation of the
spectral shift function of M. G. Krein in terms of an
average of spectral measures in the type II setting. We
also exhibit a surprising connection between the
spectral shift function and spectral flow.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Bell:2009:MAI,
author = "J. P. Bell and K. G. Hare",
title = "On {$\mathbb{Z}$}-Modules of Algebraic Integers",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "264--281",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-013-9",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
note = "See corrigendum \cite{Bell:2012:CMA}.",
abstract = "Let $q$ be an algebraic integer of degree $d \geq 2$.
Consider the rank of the multiplicative subgroup of
${\mathbb C}$^*$$ generated by the conjugates of $q$.
We say $q$ is of $full rank$ if either the rank is $d -
1$ and $q$ has norm $pm 1$, or the rank is $d$. In this
paper we study some properties of ${\mathbb Z}[q]$
where $q$ is an algebraic integer of full rank. The
special cases of when $q$ is a Pisot number and when
$q$ is a Pisot-cyclotomic number are also studied.
There are four main results. (1) If $q$ is an algebraic
integer of full rank and $n$ is a fixed positive
integer, then there are only finitely many $m$ such
that disc $({\mathbb Z}[q$^m$ ]) =$ disc $({\mathbb
Z}[q$^n$ ])$. (2) If $q$ and $r$ are algebraic integers
of degree $d$ of full rank and ${\mathbb Z][q$^n$ ] =
{\mathbb Z}[r$^n$ ]$ for infinitely many $n$, then
either $q = \omega r$^'$$ or $q =$ Norm $(r)$^{{2/d}}$
\omega/r$^{', where r '}$$ is some conjugate of $r$ and
$\omega$ is some root of unity. (3) Let $r$ be an
algebraic integer of degree at most 3. Then there are
at most 40 Pisot numbers $q$ such that ${\mathbb Z}[q]
= {\mathbb Z}[r]$. (4) There are only finitely many
Pisot-cyclotomic numbers of any fixed order.??}",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Bouya:2009:CIS,
author = "Brahim Bouya",
title = "Closed Ideals in Some Algebras of Analytic Functions",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "282--298",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-014-5",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "We obtain a complete description of closed ideals of
the algebra ${\cal D} cap L$, $0 < \alpha < = 1/2$,
where ${\cal D}$ is the Dirichlet space and lip
$$_{\alpha}$$ is the algebra of analytic functions
satisfying the Lipschitz condition of order $\alpha$.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Dawson:2009:CSH,
author = "Robert J. MacG. Dawson and Maria Moszy{\'n}ska",
title = "{\v{C}eby\v{s}ev} Sets in Hyperspaces over
{$\mathrm{R}^n$}",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "299--314",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-015-x",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "A set in a metric space is called a $Chebyshev set$ if
it has a unique {``nearest neighbour''} to each point
of the space. In this paper we generalize this notion,
defining a set to be $Chebyshev relative to$ another
set if every point in the second set has a unique
{``nearest neighbour''} in the first. We are interested
in Chebyshev sets in some hyperspaces over $R$^n$$,
endowed with the Hausdorff metric, mainly the
hyperspaces of compact sets, compact convex sets, and
strictly convex compact sets. We present some new
classes of Chebyshev and relatively Chebyshev sets in
various hyperspaces. In particular, we show that
certain nested families of sets are Chebyshev. As these
families are characterized purely in terms of
containment, without reference to the semi-linear
structure of the underlying metric space, their
properties differ markedly from those of known
Chebyshev sets.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Enochs:2009:IRI,
author = "E. Enochs and S. Estrada and J. R. Garc{\'\i}a Rozas",
title = "Injective Representations of Infinite Quivers.
Applications",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "315--335",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-016-2",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "In this article we study injective representations of
infinite quivers. We classify the indecomposable
injective representations of trees and describe
Gorenstein injective and projective representations of
barren trees.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Garaev:2009:LSI,
author = "M. Z. Garaev",
title = "The Large Sieve Inequality for the Exponential
Sequence {$\lambda^{[O(n^{15 / 14 + o(1)})]}$} Modulo
Primes",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "336--350",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-017-3",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "Let $lambda$ be a fixed integer exceeding 1 and
$s$_n$$ any strictly increasing sequence of positive
integers satisfying $s$_n$ le n$^{15/14+o(1)}$$. In
this paper we give a version of the large sieve
inequality for the sequence $lambda$^{s n}$$. In
particular, we obtain nontrivial estimates of the
associated trigonometric sums {``on average''} and
establish equidistribution properties of the numbers
$lambda$^{s n}$, n le p(log p)$^{2 + varepsilon}$$,
modulo $p$ for most primes $p$.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Graham:2009:MPH,
author = "William Graham and Markus Hunziker",
title = "Multiplication of Polynomials on {Hermitian} Symmetric
spaces and {Littlewood--Richardson} Coefficients",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "351--372",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-018-2",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "Let $K$ be a complex reductive algebraic group and $V$
a representation of $K$. Let $S$ denote the ring of
polynomials on $V$. Assume that the action of $K$ on
$S$ is multiplicity-free. If $lambda$ denotes the
isomorphism class of an irreducible representation of
$K$, let $rho$_\lambda$: K rightarrow GL(V$_\lambda$)$
denote the corresponding irreducible representation and
$S$_\lambda$$ the $lambda$-isotypic component of $S$.
Write $S$_\lambda$ cdot S$_\mu$$ for the subspace of
$S$ spanned by products of $S$_\lambda$$ and $S$_\mu$$.
If $V$_\nu$$ occurs as an irreducible constituent of
$V$_\lambda$ \otimes V$_\mu$$, is it true that $S_\nu
\subseteq S_\lambda \cdot S_\mu$? In this paper, the
authors investigate this question for representations
arising in the context of Hermitian symmetric pairs. It
is shown that the answer is yes in some cases and,
using an earlier result of Ruitenburg, that in the
remaining classical cases, the answer is yes provided
that a conjecture of Stanley on the multiplication of
Jack polynomials is true. It is also shown how the
conjecture connects multiplication in the ring $S$ to
the usual Littlewood--Richardson rule.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{McKee:2009:IOW,
author = "Mark McKee",
title = "An Infinite Order {Whittaker} Function",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "373--381",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-019-x",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "In this paper we construct a flat smooth section of an
induced space $I(s,eta)$ of $SL$_2$ (\mathbb{R})$ so
that the attached Whittaker function is not of finite
order. An asymptotic method of classical analysis is
used.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Miao:2009:UED,
author = "Tianxuan Miao",
title = "Unit Elements in the Double Dual of a Subalgebra of
the {Fourier} Algebra {$A(G)$}",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "382--394",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-020-0",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "Let $mathcal A$ be a Banach algebra with a bounded
right approximate identity and let $mathcal B$ be a
closed ideal of $mathcal A$. We study the relationship
between the right identities of the double duals
${mathcal B}$^{**}$$ and ${mathcal A}$^{**}$$ under the
Arens product. We show that every right identity of
${mathcal B}$^{**}$$ can be extended to a right
identity of ${mathcal A}$^{**}$$ in some sense. As a
consequence, we answer a question of Lau and {\"U}lger,
showing that for the Fourier algebra $A(G)$ of a
locally compact group $G$, an element $phi \in
A(G)$^{**}$$ is in $A(G)$ if and only if $A(G) phi
subseteq A(G)$ and $E phi = phi$ for all right
identities $E$ of $A(G)$^{**}$$. We also prove some
results about the topological centers of ${mathcal
B}$^{**}$$ and ${mathcal A}$^{**}$$.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Moriyama:2009:FAT,
author = "Tomonori Moriyama",
title = "{$L$}-Functions for {$\GSp(2) \times \GL(2)$}:
{Archimedean} Theory and Applications",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "395--426",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-021-x",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "Let $Pi$ be a generic cuspidal automorphic
representation of ${\rm GSp}(2)$ defined over a totally
real algebraic number field $k$ whose archimedean type
is either a (limit of) large discrete series
representation or a certain principal series
representation. Through explicit computation of
archimedean local zeta integrals, we prove the
functional equation of tensor product $L$-functions
$L(s, \Pi \times \sigma)$ for an arbitrary cuspidal
automorphic representation $\sigma$ of $\GL(2)$. We
also give an application to the spinor $L$-function of
$\Pi$.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Tadic:2009:RUC,
author = "Marko Tadi{\'c}",
title = "On Reducibility and Unitarizability for Classical
$p$-Adic Groups, Some General Results",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "427--450",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-022-7",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "The aim of this paper is to prove two general results
on parabolic induction of classical $p$-adic groups
(actually, one of them holds also in the archimedean
case), and to obtain from them some consequences about
irreducible unitarizable representations. One of these
consequences is a reduction of the unitarizability
problem for these groups. This reduction is similar to
the reduction of the unitarizability problem to the
case of real infinitesimal character for real reductive
groups.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Valeriote:2009:SIP,
author = "Matthew A. Valeriote",
title = "A Subalgebra Intersection Property for Congruence
Distributive Varieties",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "451--464",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-023-2",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "We prove that if a finite algebra {\bf A} generates a
congruence distributive variety, then the subalgebras
of the powers of {\bf A} satisfy a certain kind of
intersection property that fails for finite idempotent
algebras that locally exhibit affine or unary
behaviour. We demonstrate a connection between this
property and the constraint satisfaction problem.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Woodford:2009:PPP,
author = "Roger Woodford",
title = "On Partitions into Powers of Primes and Their
Difference Functions",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "465--480",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-024-6",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "In this paper, we extend the approach first outlined
by Hardy and Ramanujan for calculating the asymptotic
formulae for the number of partitions into $r$-th
powers of primes, $p$_{\mathbb{P}$^{(r)}$}$ (n)$, to
include their difference functions. In doing so, we
rectify an oversight of said authors, namely that the
first difference function is perforce positive for all
values of $n$, and include the magnitude of the error
term.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Banks:2009:UDF,
author = "William D. Banks and Moubariz Z. Garaev and Florian
Luca and Igor E. Shparlinski",
title = "Uniform Distribution of Fractional Parts Related to
Pseudoprimes",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "481--502",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-025-2",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "We estimate exponential sums with the Fermat-like
quotients $f$_g$ (n) = {g$^{n-1}$- 1}/n$ and $h$_g$ (n)
= {g$^{{n-1}}$- 1} / {P(n)},$ where $g$ and $n$ are
positive integers, $n$ is composite, and $P(n)$ is the
largest prime factor of $n$. Clearly, both $f$_g$ (n)$
and $h$_g$ (n)$ are integers if $n$ is a Fermat
pseudoprime to base $g$, and if $n$ is a Carmichael
number, this is true for all $g$ coprime to $n$.
Nevertheless, our bounds imply that the fractional
parts ${f$_g$ (n)}$ and ${h$_g$ (n)}$ are uniformly
distributed, on average over $g$ for $f$_g$ (n)$, and
individually for $h$_g$ (n)$. We also obtain similar
results with the functions ${widetilde f}$_g$ (n) =
gf$_g$ (n)$ and ${widetilde h}$_g$ (n) = gh$_g$ (n)$.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Baranov:2009:SBS,
author = "Anton Baranov and Harald Woracek",
title = "Subspaces of de~Branges Spaces Generated by
Majorants",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "503--517",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-026-2",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "For a given de Branges space ${mathcal H}(E)$ we
investigate de Branges subspaces defined in terms of
majorants on the real axis. If $\omega$ is a
nonnegative function on $\mathbb R$, we consider the
subspace ${mathcal R}$_{\omega}$ (E) =$ Clos
$$_{{mathcal H}(E)}$ {F \in {mathcal H}(E):$ there
exists $C > 0: |E$^{-1}$ F| \leq C \omega$ on ${\mathbb
R}}.$ We show that ${mathcal R}$_{\omega}$ (E)$ is a de
Branges subspace and describe all subspaces of this
form. Moreover, we give a criterion for the existence
of positive minimal majorants.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Belliard:2009:GUM,
author = "Jean-Robert Belliard",
title = "Global Units Modulo Circular Units: Descent Without
{Iwasawa}'s Main Conjecture",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "518--533",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-027-0",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "Iwasawa's classical asymptotical formula relates the
orders of the $p$-parts $X$_n$$ of the ideal class
groups along a $\mathbb{Z}$_p$$-extension $F$^\infty$
/F$ of a number field $F$ to Iwasawa structural
invariants $lambda$ and $mu$ attached to the inverse
limit $X$^\infty$ = \varprojlim X$_n$$. It relies on
{``good''} descent properties satisfied by $X$_n$$. If
$F$ is abelian and $F$^\infty$$ is cyclotomic, it is
known that the $p$-parts of the orders of the global
units modulo circular units $U$_n$ /C$_n$$ are
asymptotically equivalent to the $p$-parts of the ideal
class numbers. This suggests that these quotients
$U$_n$ /C$_n$$, so to speak unit class groups, also
satisfy good descent properties. We show this directly,
$i.e.,$ without using Iwasawa's Main Conjecture.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Chen:2009:GTN,
author = "Chuan-Zhong Chen and Wei Sun",
title = "{Girsanov} Transformations for Non-Symmetric
Diffusions",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "534--547",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-028-7",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "Let $X$ be a diffusion process, which is assumed to be
associated with a (non-symmetric) strongly local
Dirichlet form $({mathcal E}, {mathcal D}({mathcal
E}))$ on $L$^2$ (E;m)$. For $u \in {mathcal D}({mathcal
E})$_e$$, the extended Dirichlet space, we investigate
some properties of the Girsanov transformed process $Y$
of $X$. First, let $widehat{X}$ be the dual process of
$X$ and $widehat{Y}$ the Girsanov transformed process
of $widehat{X}$. We give a necessary and sufficient
condition for $(Y, widehat{Y})$ to be in duality with
respect to the measure $e$^{2u}$ m$. We also construct
a counterexample, which shows that this condition may
not be satisfied and hence $(Y, widehat{Y})$ may not be
dual processes. Then we present a sufficient condition
under which $Y$ is associated with a semi-Dirichlet
form. Moreover, we give an explicit representation of
the semi-Dirichlet form.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Girouard:2009:FTC,
author = "Alexandre Girouard",
title = "Fundamental Tone, Concentration of Density, and
Conformal Degeneration on Surfaces",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "548--565",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-029-1",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "We study the effect of two types of degeneration of a
Riemannian metric on the first eigenvalue of the
Laplace operator on surfaces. In both cases we prove
that the first eigenvalue of the round sphere is an
optimal asymptotic upper bound. The first type of
degeneration is concentration of the density to a point
within a conformal class. The second is degeneration of
the conformal class to the boundary of the moduli space
on the torus and on the Klein bottle. In the latter, we
follow the outline proposed by N. Nadirashvili in
1996.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Graham:2009:CSC,
author = "Ian Graham and Hidetaka Hamada and Gabriela Kohr and
John A. Pfaltzgraff",
title = "Convex Subordination Chains in Several Complex
Variables",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "566--582",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-030-x",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "In this paper we study the notion of a convex
subordination chain in several complex variables. We
obtain certain necessary and sufficient conditions for
a mapping to be a convex subordination chain, and we
give various examples of convex subordination chains on
the Euclidean unit ball in $\mathbb{C}$^n$$. We also
obtain a sufficient condition for injectivity of
$f(z/||z||, ||z||)$ on $B$^n$ \setminus {0}$, where
$f(z,t)$ is a convex subordination chain over
$(0,1)$.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Hajir:2009:APF,
author = "Farshid Hajir",
title = "Algebraic Properties of a Family of Generalized
{Laguerre} Polynomials",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "583--603",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-031-6",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "We study the algebraic properties of Generalized
Laguerre Polynomials for negative integral values of
the parameter. For integers $r,n \geq 0$, we conjecture
that $L$_n^{(-1-n-r)}$ (x) = \sum$_{j=0}^n$
\binom{n-j+r}{n-j}x$^j$ /j!$ is a $\mathbb
Q$-irreducible polynomial whose Galois group contains
the alternating group on $n$ letters. That this is so
for $r = n$ was conjectured in the 1950's by Grosswald
and proven recently by Filaseta and Trifonov. It
follows from recent work of Hajir and Wong that the
conjecture is true when $r$ is large with respect to $n
\geq 5$. Here we verify it in three situations: i) when
$n$ is large with respect to $r$, ii) when $r \leq 8$,
and iii) when $n \leq 4$. The main tool is the theory
of $p$-adic Newton Polygons.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Hart:2009:FCC,
author = "Joan E. Hart and Kenneth Kunen",
title = "First Countable Continua and Proper Forcing",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "604--616",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-032-0",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "Assuming the Continuum Hypothesis, there is a compact,
first countable, connected space of weight $aleph$_1$$
with no totally disconnected perfect subsets. Each such
space, however, may be destroyed by some proper forcing
order which does not add reals.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Kim:2009:SIR,
author = "Wook Kim",
title = "Square Integrable Representations and the Standard
Module Conjecture for General Spin Groups",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "617--640",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-033-3",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "In this paper we study square integrable
representations and $L$-functions for quasisplit
general spin groups over a $p$-adic field. In the first
part, the holomorphy of $L$-functions in a half plane
is proved by using a variant form of Casselman's square
integrability criterion and the Langlands--Shahidi
method. The remaining part focuses on the proof of the
standard module conjecture. We generalize Muic's idea
via the Langlands--Shahidi method towards a proof of
the conjecture. It is used in the work of M. Asgari and
F. Shahidi on generic transfer for general spin
groups.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Maeda:2009:CPI,
author = "Sadahiro Maeda and Seiichi Udagawa",
title = "Characterization of Parallel Isometric Immersions of
Space Forms into Space Forms in the Class of Isotropic
Immersions",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "641--655",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-034-4",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "For an isotropic submanifold $M$^n$ (n \geqq 3)$ of a
space form $widetilde{M}$^{n+p}$ (c)$ of constant
sectional curvature $c$, we show that if the mean
curvature vector of $M$^n$$ is parallel and the
sectional curvature $K$ of $M$^n$$ satisfies some
inequality, then the second fundamental form of $M$^n$$
in $widetilde{M}$^{n+p is parallel and our manifold M
n}$$ is a space form.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{McCutcheon:2009:GPM,
author = "Randall McCutcheon and Anthony Quas",
title = "Generalized Polynomials and Mild Mixing",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "656--673",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-035-3",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "An unsettled conjecture of V. Bergelson and I. Haland
proposes that if $(X,{mathcal A},mu,T)$ is an
invertible weak mixing measure preserving system, where
$mu(X) < \infty$, and if $p$_1$, p$_2$, dots, p$_k$$
are generalized polynomials (functions built out of
regular polynomials via iterated use of the greatest
integer or floor function) having the property that no
$p$_i$$, nor any $p$_i$-p$_j$$, $i \neq j$, is constant
on a set of positive density, then for any measurable
sets $A$_0$, A$_1$, \dots, A$_k$$, there exists a
zero-density set $E /subset {\mathbb Z}$ such that
lim$_{{{n \to \infty}/{n \not\in E}}}$ mu(A$_0$ \cap
T$^{{p 1 (n)}}$ A$_1$ \cap \cdots \cap T$^{p k (n)}$
A$_k$) = prod$_{i=0}^k$ mu(A$_i$). We formulate and
prove a faithful version of this conjecture for mildly
mixing systems and partially characterize, in the
degree two case, the set of families ${p_1, p_2, \dots,
p_k}$ satisfying the hypotheses of this theorem.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Pollack:2009:CRA,
author = "David Pollack and Robert Pollack",
title = "A Construction of Rigid Analytic Cohomology Classes
for Congruence Subgroups of {$\SL_3(\mathbb{Z})$}",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "674--690",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-036-0",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "We give a constructive proof, in the special case of
GL $$_3$$, of a theorem of Ash and Stevens which
compares overconvergent cohomology to classical
cohomology. Namely, we show that every ordinary
classical Hecke-eigenclass can be lifted uniquely to a
rigid analytic eigenclass. Our basic method builds on
the ideas of M. Greenberg; we first form an arbitrary
lift of the classical eigenclass to a
distribution-valued cochain. Then, by appropriately
iterating the $U$_p$$-operator, we produce a cocycle
whose image in cohomology is the desired eigenclass.
The constructive nature of this proof makes it possible
to perform computer computations to approximate these
interesting overconvergent eigenclasses.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Yu:2009:PQS,
author = "Xiaoxiang Yu",
title = "Prehomogeneity on Quasi-Split Classical Groups and
Poles of Intertwining Operators",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "691--707",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-037-6",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "Suppose that $P = MN$ is a maximal parabolic subgroup
of a quasisplit, connected, reductive classical group
$G$ defined over a non-Archimedean field and $A$ is the
standard intertwining operator attached to a tempered
representation of $G$ induced from $M$. In this paper
we determine all the cases in which Lie $(N)$ is
prehomogeneous under Ad $(m)$ when $N$ is non-abelian,
and give necessary and sufficient conditions for $A$ to
have a pole at 0.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Zelenyuk:2009:RHF,
author = "Yevhen Zelenyuk",
title = "Regular Homeomorphisms of Finite Order on Countable
Spaces",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "708--720",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-038-x",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "We present a structure theorem for a broad class of
homeomorphisms of finite order on countable zero
dimensional spaces. As applications we show the
following. (a) Every countable nondiscrete topological
group not containing an open Boolean subgroup can be
partitioned into infinitely many dense subsets. (b) If
$G$ is a countably infinite Abelian group with finitely
many elements of order 2 and $\beta G$ is the
Stone--Cech compactification of $G$ as a discrete
semigroup, then for every idempotent $p \in \beta G
\setminus {0}$, the subset ${p,-p} \subset \beta G$
generates algebraically the free product of one-element
semigroups $p$ and $-p$.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Calin:2009:SGS,
author = "Ovidiu Calin and Der-Chen Chang and Irina Markina",
title = "SubRiemannian Geometry on the Sphere
{$\mathbb{S}^3$}",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "721--739",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-039-2",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "We discuss the subRiemannian geometry induced by two
noncommutative vector fields which are left invariant
on the Lie group $\mathbb{S}$^3$$.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Caprace:2009:GFC,
author = "Pierre-Emmanuel Caprace and Fr{\'e}d{\'e}ric Haglund",
title = "On Geometric Flats in the {CAT}(0) Realization of
{Coxeter} Groups and {Tits} Buildings",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "740--761",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-040-8",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "Given a complete CAT(0) space $X$ endowed with a
geometric action of a group $\Gamma$, it is known that
if $\Gamma$ contains a free abelian group of rank $n$,
then $X$ contains a geometric flat of dimension $n$. We
prove the converse of this statement in the special
case where $X$ is a convex subcomplex of the CAT(0)
realization of a Coxeter group $W$, and $\Gamma$ is a
subgroup of $W$. In particular a convex cocompact
subgroup of a Coxeter group is Gromov-hyperbolic if and
only if it does not contain a free abelian group of
rank 2. Our result also provides an explicit control on
geometric flats in the CAT(0) realization of arbitrary
Tits buildings.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{DCruz:2009:HCF,
author = "Clare D'Cruz and Tony J. Puthenpurakal",
title = "The {Hilbert} Coefficients of the Fiber Cone and the
$a$-Invariant of the Associated Graded Ring",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "762--778",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-041-1",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "Let $(A, \m)$ be a Noetherian local ring with infinite
residue field and let $I$ be an ideal in $A$ and let
$F(I) = \bigoplus_{n \geq 0}I$^n$ /m I$^n$ $ be the
fiber cone of $I$. We prove certain relations among the
Hilbert coefficients $f$_0$ (I),f$_1$ (I), f$_2$ (I)$
of $F(I)$ when the $a$-invariant of the associated
graded ring $G(I)$ is negative.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Grbac:2009:RSS,
author = "Neven Grbac",
title = "Residual Spectra of Split Classical Groups and their
Inner Forms",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "779--806",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-042-3",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "This paper is concerned with the residual spectrum of
the hermitian quaternionic classical groups $G$_n$ '$
and $H$_n$ '$ defined as algebraic groups for a
quaternion algebra over an algebraic number field.
Groups $G$_n$ '$ and $H$_n$ '$ are not quasi-split.
They are inner forms of the split groups $\SO_{4n}$ and
$\Sp_{4n}$. Hence, the parts of the residual spectrum
of $G$_n$ '$ and $H$_n$ '$ obtained in this paper are
compared to the corresponding parts for the split
groups $\SO_{4n}$ and $\Sp_{4n}$.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Hong:2009:MOA,
author = "Sunggeum Hong and Joonil Kim and Chan Woo Yang",
title = "Maximal Operators Associated with Vector Polynomials
of Lacunary Coefficients",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "807--827",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-043-3",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "We prove the $L^p (\mathbb{R}$^d$)$ ($1 < ple \infty$)
boundedness of the maximal operators associated with a
family of vector polynomials given by the form
$\{(2^{k$_1$}\mathfrak{p}$_1$ (t),
\dots,2^{k$_d$}\mathfrak{p}$_d$ (t)): t\in\mathbb{R}
\}.$ Furthermore, by using the lifting argument, we
extend this result to a general class of vector
polynomials whose coefficients are of the form constant
times $2$^k$ $.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Howard:2009:TGZ,
author = "Benjamin Howard",
title = "Twisted {Gross--Zagier} Theorems",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "828--887",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-044-1",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "The theorems of Gross--Zagier and Zhang relate the
N{\'e}ron--Tate heights of complex multiplication
points on the modular curve $X$_0$ (N)$ (and on Shimura
curve analogues) with the central derivatives of
automorphic $L$-function. We extend these results to
include certain CM points on modular curves of the form
$X(\Gamma$_0$ (M)\cap\Gamma$_1$ (S))$ (and on Shimura
curve analogues). These results are motivated by
applications to Hida theory that can be found in the
companion article {``Central derivatives of
$L$-functions in Hida families''}, Math.\ Ann.\
\textbf{399}(2007), 803--818.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Novik:2009:FRM,
author = "Isabella Novik and Ed Swartz",
title = "Face Ring Multiplicity via {CM}-Connectivity
Sequences",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "888--903",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-045-8",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "The multiplicity conjecture of Herzog, Huneke, and
Srinivasan is verified for the face rings of the
following classes of simplicial complexes: matroid
complexes, complexes of dimension one and two, and
Gorenstein complexes of dimension at most four. The
lower bound part of this conjecture is also established
for the face rings of all doubly Cohen--Macaulay
complexes whose 1-skeleton's connectivity does not
exceed the codimension plus one as well as for all
$(d-1)$-dimensional $d$-Cohen--Macaulay complexes. The
main ingredient of the proofs is a new interpretation
of the minimal shifts in the resolution of the face
ring $\field[\Delta]$ via the Cohen--Macaulay
connectivity of the skeletons of $\Delta$.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Saliola:2009:FSA,
author = "Franco V. Saliola",
title = "The Face Semigroup Algebra of a Hyperplane
Arrangement",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "904--929",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-046-2",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "This article presents a study of an algebra spanned by
the faces of a hyperplane arrangement. The quiver with
relations of the algebra is computed and the algebra is
shown to be a Koszul algebra. It is shown that the
algebra depends only on the intersection lattice of the
hyperplane arrangement. A complete system of primitive
orthogonal idempotents for the algebra is constructed
and other algebraic structure is determined including:
a description of the projective indecomposable modules,
the Cartan invariants, projective resolutions of the
simple modules, the Hochschild homology and cohomology,
and the Koszul dual algebra. A new cohomology
construction on posets is introduced, and it is shown
that the face semigroup algebra is isomorphic to the
cohomology algebra when this construction is applied to
the intersection lattice of the hyperplane
arrangement.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Sidman:2009:PCA,
author = "Jessica Sidman and Seth Sullivant",
title = "Prolongations and Computational Algebra",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "930--949",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-047-5",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "We explore the geometric notion of prolongations in
the setting of computational algebra, extending results
of Landsberg and Manivel which relate prolongations to
equations for secant varieties. We also develop methods
for computing prolongations that are combinatorial in
nature. As an application, we use prolongations to
derive a new family of secant equations for the binary
symmetric model in phylogenetics.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Tange:2009:IIF,
author = "Rudolf Tange",
title = "Infinitesimal Invariants in a Function Algebra",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "950--960",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-048-6",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "Let $G$ be a reductive connected linear algebraic
group over an algebraically closed field of positive
characteristic and let $\g$ be its Lie algebra. First
we extend a well-known result about the Picard group of
a semi-simple group to reductive groups. Then we prove
that if the derived group is simply connected and $\g$
satisfies a mild condition, the algebra $K[G]^\g$ of
regular functions on $G$ that are invariant under the
action of $\g$ derived from the conjugation action is a
unique factorisation domain.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Bernon:2009:TIO,
author = "Florent Bernon",
title = "Transfert des int{\'e}grales orbitales pour les
alg{\`e}bres de {Lie} classiques. ({French})
[{Transfer} of orbital integrals for classical {Lie}
algebras]",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "961--1049",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-049-x",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "Dans cet article, on consid{\`e}re un groupe
semi-simple G classique r{\'e}el et connexe. On suppose
de plus que G poss{\`e}de un sous-groupe de Cartan
compact. On d{\'e}finit une famille de
sous-alg{\`e}bres de Lie associ{\'e}e {\`a} g = Lie(G),
de m{\^e}me rang que g dont tous les facteurs simples
sont de rang 1 ou~2. Soit g' une telle sous-alg{\`e}bre
de Lie. On construit alors une application de transfert
des int{\'e}grales orbitales de g' dans l'espace des
int{\'e}grales orbitales de g. On montre que cette
application est d{\'e}finie d{\`e}s que g ne
poss{\`e}de pas de facteur simple r{\'e}el de type CI
de rang sup{\'e}rieur ou {\'e}gal {\`a} 3. Si de plus,
g ne poss{\`e}de pas de facteur simple de type BI de
rang sup{\'e}rieur {\`a} 3, on montre la
surjectivit{\'e} de cette application de transfert. On
utilise cette application de transfert pour obtenir une
formule de r{\'e}duction de l'int{\'e}grale de Cauchy
Harish-Chandra pour les paires duales d'alg{\`e}bres de
Lie r{\'e}ductives ( U(p,q),U(r,s)) et (
Sp(p,q),O^*(2n)) avec p+q = r+s = n.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
language = "French",
}
@Article{Bertin:2009:ECY,
author = "Marie-Am{\'e}lie Bertin",
title = "Examples of {Calabi--Yau} 3-Folds of {$\mathbb{P}^7$}
with $\rho = 1$",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "1050--1072",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-050-2",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "We give some examples of Calabi--Yau 3-folds with
$\rho = 1$ and $\rho = 2$, defined over $Q$ and
constructed as 4-codimensional subvarieties of $P^7$
via commutative algebra methods. We explain how to
deduce their Hodge diamond and top Chern classes from
computer based computations over some finite field
$F_p$. Three of our examples (of degree 17 and 20) are
new. The two others (degree 15 and 18) are known, and
we recover their well-known invariants with our method.
These examples are built out of Gulliksen--Neg{\aa}rd
and Kustin--Miller complexes of locally free sheaves.
Finally, we give two new examples of Calabi--Yau
3-folds of $P^6$ of degree 14 and 15 (defined over Q).
We show that they are not deformation equivalent to
Tonoli's examples of the same degree, despite the fact
that they have the same invariants ($H^3$, $c_2$
{\cdot} $H$, $c_3$) and $\rho = 1$.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Griffiths:2009:RHK,
author = "Ross Griffiths and Mika{\"e}l Lescop",
title = "On the $2$-Rank of the {Hilbert} Kernel of Number
Fields",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "1073--1091",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-051-3",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "Let E/F be a quadratic extension of number fields. In
this paper, we show that the genus formula for Hilbert
kernels, proved by M. Kolster and A. Movahhedi, gives
the 2-rank of the Hilbert kernel of $E$ provided that
the 2-primary Hilbert kernel of $F$ is trivial.
However, since the original genus formula is not
explicit enough in a very particular case, we first
develop a refinement of this formula in order to employ
it in the calculation of the 2-rank of $E$ whenever $F$
is totally real with trivial 2-primary Hilbert kernel.
Finally, we apply our results to quadratic,
bi-quadratic, and tri-quadratic fields which include a
complete 2-rank formula for the family of fields
Q(\sqrt{2}, \sqrt{\delta}) where \delta is a squarefree
integer.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Irving:2009:MTF,
author = "John Irving",
title = "Minimal Transitive Factorizations of Permutations into
Cycles",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "1092--1117",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-052-2",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "We introduce a new approach to an enumerative problem
closely linked with the geometry of branched coverings,
that is, we study the number H$_{\alpha}$
{??}(i$_2$,i$_3$, \dots) of ways a given permutation
(with cycles described by the partition \alpha) can be
decomposed into a product of exactly i$_2$ 2-cycles,
i$_3$ 3-cycles, $etc.$, with certain minimality and
transitivity conditions imposed on the factors. The
method is to encode such factorizations as planar maps
with certain $descent structure$ and apply a new
combinatorial decomposition to make their enumeration
more manageable. We apply our technique to determine
H_{\alpha}(i$_2$,i$_3$, \dots) when \alpha has one or
two parts, extending earlier work of Goulden and
Jackson. We also show how these methods are readily
modified to count $inequivalent$ factorizations, where
equivalence is defined by permitting commutations of
adjacent disjoint factors. Our technique permits us to
generalize recent work of Goulden, Jackson, and Latour,
while allowing for a considerable simplification of
their analysis.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Pontreau:2009:PPS,
author = "Corentin Pontreau",
title = "Petits points d'une surface",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "1118--1150",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-053-x",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "Pour toute sous-vari{\'e}t{\'e}
g{\'e}om{\'e}triquement irr{\'e}ductible $V$ du groupe
multiplicatif G$_m^n$, on sait qu'en dehors d'un nombre
fini de translat{\'e}s de tores exceptionnels inclus
dans $V$, tous les points sont de hauteur minor{\'e}e
par une certaine quantit{\'e} q(V)$^{-1}$ > 0. On
conna{\^\i}t de plus une borne sup{\'e}rieure pour la
somme des degr{\'e}s de ces translat{\'e}s de tores
pour des valeurs de q(V) polynomiales en le degr{\'e}
de $V$. Ceci n'est pas le cas si l'on exige une
minoration quasi-optimale pour la hauteur des points de
$V$, essentiellement lin{\'e}aire en l'inverse du
degr{\'e}. Nous apportons ici une r{\'e}ponse partielle
{\`a} ce probl{\`e}me: nous donnons une majoration de
la somme des degr{\'e}s de ces translat{\'e}s de
sous-tores de codimension 1 d'une hypersurface $V$. Les
r{\'e}sultats, obtenus dans le cas de G$_m^3$, mais
compl{\`e}tement explicites, peuvent toutefois
s'{\'e}tendre {\`a} G$_m^n$, moyennant quelques petites
complications inh{\'e}rentes {\`a} la dimension $n$.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Ruan:2009:CMP,
author = "Huo-Jun Ruan and Robert S. Strichartz",
title = "Covering Maps and Periodic Functions on Higher
Dimensional {Sierpinski} Gaskets",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "1151--1181",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-054-5",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "We construct covering maps from infinite blowups of
the $n$-dimensional Sierpinski gasket SG$_n$ to certain
compact fractafolds based on SG$_n$. These maps are
fractal analogs of the usual covering maps from the
line to the circle. The construction extends work of
the second author in the case n=2, but a different
method of proof is needed, which amounts to solving a
Sudoku-type puzzle. We can use the covering maps to
define the notion of periodic function on the blowups.
We give a characterization of these periodic functions
and describe the analog of Fourier series expansions.
We study covering maps onto quotient fractalfolds.
Finally, we show that such covering maps fail to exist
for many other highly symmetric fractals.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Strichartz:2009:PAP,
author = "Robert S. Strichartz",
title = "Periodic and Almost Periodic Functions on Infinite
{Sierpinski} Gaskets",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "1182--1200",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-055-9",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "We define periodic functions on infinite blow-ups of
the Sierpinski gasket as lifts of functions defined on
certain compact fractafolds via covering maps. This is
analogous to defining periodic functions on the line as
lifts of functions on the circle via covering maps. In
our setting there is only a countable set of covering
maps. We give two different characterizations of
periodic functions in terms of repeating patterns.
However, there is no discrete group action that can be
used to characterize periodic functions. We also give a
Fourier series type description in terms of periodic
eigenfunctions of the Laplacian. We define almost
periodic functions as uniform limits of periodic
functions.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Arvanitoyeorgos:2009:IEM,
author = "Andreas Arvanitoyeorgos and V. V. Dzhepko and Yu. G.
Nikonorov",
title = "Invariant {Einstein} Metrics on Some Homogeneous
Spaces of Classical {Lie} Groups",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "1201--1213",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-056-2",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "A Riemannian manifold (M,{\rho}) is called Einstein if
the metric {\rho} satisfies the condition linebreak Ric
({\rho}) = c {\cdot} {\rho} for some constant $c$. This
paper is devoted to the investigation of $G$-invariant
Einstein metrics, with additional symmetries, on some
homogeneous spaces G/H of classical groups. As a
consequence, we obtain new invariant Einstein metrics
on some Stiefel manifolds SO(n)/SO(l) . Furthermore, we
show that for any positive integer $p$ there exists a
Stiefel manifold SO(n)/SO(l) that admits at least $p$
SO(n) -invariant Einstein metrics.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Cilleruelo:2009:CLP,
author = "Javier Cilleruelo and Andrew Granville",
title = "Close Lattice Points on Circles",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "1214--1238",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-057-2",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "We classify the sets of four lattice points that all
lie on a short arc of a circle that has its center at
the origin; specifically on arcs of length t R$^{1/3}$
on a circle of radius $R$, for any given t > 0 . In
particular we prove that any arc of length (40 +
\frac{40}{3} {\surd}{10})$^{1/3}$ R$^{1/3}$ on a circle
of radius $R$, with $R$ > {\surd}{65}, contains at most
three lattice points, whereas we give an explicit
infinite family of 4-tuples of lattice points,
({\nu}$_{1,n}$,{\nu}$_{2,n}$,{\nu}$_{3,n}$,{\nu}$_{4,n}$),
each of which lies on an arc of length (40 +
\frac{40}{3} {\surd}{10})$^{1/3}$ R$_n^{1/3}$ +o(1) on
a circle of radius $R$_n$$.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Davidson:2009:PRG,
author = "Kenneth R. Davidson and Dilian Yang",
title = "Periodicity in Rank 2 Graph Algebras",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "1239--1261",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-058-0",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "Kumjian and Pask introduced an aperiodicity condition
for higher rank graphs. We present a detailed analysis
of when this occurs in certain rank 2 graphs. When the
algebra is aperiodic, we give another proof of the
simplicity of C$^*$ (F$^+_{{\theta}}$) . The periodic
C$^*$-algebras are characterized, and it is shown that
C$^*$ (F$^+_{{\theta}}$) {\SGMLcong} C(T) {\otimes} A
where A is 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{Dong:2009:LLP,
author = "Z. Dong",
title = "On the Local Lifting Properties of Operator Spaces",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "1262--1278",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-059-7",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "In this paper, we mainly study operator spaces which
have the locally lifting property (LLP). The dual of
any ternary ring of operators is shown to satisfy the
strongly local reflexivity, and this is used to prove
that strongly local reflexivity holds also for operator
spaces which have the LLP. Several homological
characterizations of the LLP and weak expectation
property are given. We also prove that for any operator
space $V$, V$^{**}$ has the LLP if and only if $V$ has
the LLP and V$^*$ is exact.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Hoffman:2009:TBS,
author = "Christopher Hoffman and Alexander E. Holroyd and Yuval
Peres",
title = "Tail Bounds for the Stable Marriage of {Poisson} and
{Lebesgue}",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "1279--1324",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-060-7",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "Let {\Xi} be a discrete set in R$^d$. Call the
elements of {\Xi} {\em centers}. The well-known Voronoi
tessellation partitions R$^d$ into polyhedral regions
(of varying volumes) by allocating each site of R$^d$
to the closest center. Here we study allocations of
R$^d$ to {\Xi} in which each center attempts to claim a
region of equal volume {\alpha} . We focus on the case
where {\Xi} arises from a Poisson process of unit
intensity. In an earlier paper by the authors it was
proved that there is a unique allocation which is
$stable$ in the sense of the Gale--Shapley marriage
problem. We study the distance $X$ from a typical site
to its allocated center in the stable allocation. The
model exhibits a phase transition in the appetite
{\alpha} . In the critical case {\alpha}=1 we prove a
power law upper bound on $X$ in dimension d=1 . (Power
law lower bounds were proved earlier for all $d$). In
the non-critical cases {\alpha} < 1 and {\alpha} > 1 we
prove exponential upper bounds on $X$.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Nien:2009:USM,
author = "Chufeng Nien",
title = "Uniqueness of {Shalika} Models",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "1325--1340",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-062-1",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "Let {\bf F}$_q$ be a finite field of $q$ elements, $F$
a $p$-adic field, and $D$ a quaternion division algebra
over $F$. This paper proves uniqueness of Shalika
models for GL$_{2n}$ ( {\bf F}$_q$) and GL$_{2n}$ (D),
and re-obtains uniqueness of Shalika models for
GL$_{2n}$ ( $F$) for any n {\in} N .",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Rivoal:2009:SPA,
author = "Tanguy Rivoal",
title = "Simultaneous Polynomial Approximations of the {Lerch}
Function",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "1341--1356",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-063-6",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "We construct bivariate polynomial approximations of
the Lerch function that for certain specialisations of
the variables and parameters turn out to be
Hermite--Pad{\'e} approximants either of the
polylogarithms or of Hurwitz zeta functions. In the
former case, we recover known results, while in the
latter the results are new and generalise some recent
works of Beukers and Pr{\'e}vost. Finally, we make a
detailed comparison of our work with Beukers'. Such
constructions are useful in the arithmetical study of
the values of the Riemann zeta function at integer
points and of the Kubota--Leopold $p$-adic zeta
function.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Shen:2009:CLM,
author = "Zhongmin Shen",
title = "On a Class of {Landsberg} Metrics in {Finsler}
Geometry",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "1357--1374",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-064-9",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "In this paper, we study a long existing open problem
on Landsberg metrics in Finsler geometry. We consider
Finsler metrics defined by a Riemannian metric and a
1-form on a manifold. We show that a $regular$ Finsler
metric in this form is Landsbergian if and only if it
is Berwaldian. We further show that there is a
two-parameter family of functions, {\phi} = {\phi}(s),
for which there are a Riemannian metric {\alpha} and a
1-form {\beta} on a manifold $M$ such that the scalar
function F = {\alpha} {\phi} ({\beta}/{\alpha}) on TM
is an almost regular Landsberg metric, but not a
Berwald metric.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Spallone:2009:SDS,
author = "Steven Spallone",
title = "Stable Discrete Series Characters at Singular
Elements",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "1375--1382",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-065-x",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "Write {\Theta}$^E$ for the stable discrete series
character associated with an irreducible
finite-dimensional representation $E$ of a connected
real reductive group $G$. Let $M$ be the centralizer of
the split component of a maximal torus $T$, and denote
by {\Phi}$_M$ ({\gamma},{\Theta}$^E$) Arthur's
extension of |D$_M^G$ ({\gamma})|$^{1/2}$ {\Theta}$^E$
({\gamma}) to T(\R) . In this paper we give a simple
explicit expression for {\Phi}$_M$
({\gamma},{\Theta}$^E$) when {\gamma} is elliptic in
$G$. We do not assume {\gamma} is regular.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Wambach:2009:IR,
author = "Eric Wambach",
title = "Integral Representation for {$U_3 \times \GL_2$}",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "1383--1406",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-066-9",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "Gelbart and Piatetskii-Shapiro constructed various
integral representations of Rankin--Selberg type for
groups G \times GL$_n$, where $G$ is of split rank $n$.
Here we show that their method can equally well be
applied to the product U$_3$ \times GL$_2$, where U$_3$
denotes the quasisplit unitary group in three
variables. As an application, we describe which
cuspidal automorphic representations of U$_3$ occur in
the Siegel induced residual spectrum of the quasisplit
U$_4$.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Will:2009:TCR,
author = "Pierre Will",
title = "Traces, Cross-Ratios and 2-Generator Subgroups of
{$\SU(2, 1)$}",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "1407--1436",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-067-6",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib",
abstract = "In this work, we investigate how to decompose a pair
(A,B) of loxodromic isometries of the complex
hyperbolic plane {\bf H}$^2_C$ under the form A=I$_1$
I$_2$ and B=I$_3$ I$_2$, where the I$_k$ 's are
involutions. The main result is a decomposability
criterion, which is expressed in terms of traces of
elements of the group < A,B > .",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Anonymous:2009:AII,
author = "Anonymous",
title = "Author Index --- Index des auteurs --- for 2009 ---
pour 2009",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "1437--??",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/cjm/v61/p1437",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
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{Chiang:2010:EVD,
author = "Yik-Man Chiang and Mourad E. H. Ismail",
title = "Erratum to: {On value distribution theory of second
order periodic ODEs, special functions and orthogonal
polynomials [\refcno 2245272]}",
journal = j-CAN-J-MATH,
volume = "62",
number = "2",
pages = "261--261",
month = apr,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-034-7",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "34M10 (30D35 33C15 33C47)",
MRnumber = "2643042",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
note = "See \cite{Chiang:2006:VDT}.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Bell:2012:CMA,
author = "Jason P. Bell and Kevin G. Hare",
title = "Corrigendum to {``On {$\mathbb{Z}$}-modules of
Algebraic Integers''}",
journal = j-CAN-J-MATH,
volume = "64",
number = "2",
pages = "254--??",
month = apr,
year = "2012",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/http://cms.math.ca/10.4153/CJM-2011-072-5",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Mon Apr 9 15:20:54 MDT 2012",
bibsource = "http://cms.math.ca/cjm/v64/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
note = "See \cite{Bell:2009:MAI}.",
abstract = "We fix a mistake in the proof of Theorem 1.6 in the
paper in the title.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}