Rankin-Selberg Convolutions for $\mathrm {SO}_{2\ell +1}\times \mathrm {GL}_n$ : Local Theory

Rankin-Selberg Convolutions for $\mathrm {SO}_{2\ell +1}\times \mathrm {GL}_n$ : Local Theory PDF Author: David Soudry
Publisher: American Mathematical Soc.
ISBN: 0821825682
Category : Mathematics
Languages : en
Pages : 113

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Book Description
On t.p. "o2olo+o1" and "on" are subscript.

Deformation Theory of Pseudogroup Structures

Deformation Theory of Pseudogroup Structures PDF Author: Victor Guillemin
Publisher: American Mathematical Soc.
ISBN: 0821812645
Category : Geometry, Differential
Languages : en
Pages : 90

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Canadian Journal of Mathematics

Canadian Journal of Mathematics PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 228

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$C^*$-Algebra Extensions of $C(X)$

$C^*$-Algebra Extensions of $C(X)$ PDF Author: Huaxin Lin
Publisher: American Mathematical Soc.
ISBN: 0821826115
Category : Mathematics
Languages : en
Pages : 102

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Book Description
We show that the Weyl-von Neumann theorem for unitaries holds for [lowercase Greek]Sigma-unital [italic capital]A[italic capital]F-algebras and their multiplier algebras.

The $2$-Dimensional Attractor of $x'(t)=-{\mu } x(t) + f(x(t-1))$

The $2$-Dimensional Attractor of $x'(t)=-{\mu } x(t) + f(x(t-1))$ PDF Author: Hans-Otto Walther
Publisher: American Mathematical Soc.
ISBN: 0821826026
Category : Mathematics
Languages : en
Pages : 89

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Book Description
See attachment.

Eisenstein Series and Automorphic $L$-Functions

Eisenstein Series and Automorphic $L$-Functions PDF Author: Freydoon Shahidi
Publisher: American Mathematical Soc.
ISBN: 0821849891
Category : Mathematics
Languages : en
Pages : 218

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Book Description
This book presents a treatment of the theory of $L$-functions developed by means of the theory of Eisenstein series and their Fourier coefficients, a theory which is usually referred to as the Langlands-Shahidi method. The information gathered from this method, when combined with the converse theorems of Cogdell and Piatetski-Shapiro, has been quite sufficient in establishing a number of new cases of Langlands functoriality conjecture; at present, some of these cases cannot be obtained by any other method. These results have led to far-reaching new estimates for Hecke eigenvalues of Maass forms, as well as definitive solutions to certain problems in analytic and algebraic number theory. This book gives a detailed treatment of important parts of this theory, including a rather complete proof of Casselman-Shalika's formula for unramified Whittaker functions as well as a general treatment of the theory of intertwining operators. It also covers in some detail the global aspects of the method as well as some of its applications to group representations and harmonic analysis. This book is addressed to graduate students and researchers who are interested in the Langlands program in automorphic forms and its connections with number theory.

Notices of the American Mathematical Society

Notices of the American Mathematical Society PDF Author: American Mathematical Society
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 998

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Mathematical Reviews

Mathematical Reviews PDF Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 812

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Annales Scientifiques de L'École Normale Supérieure

Annales Scientifiques de L'École Normale Supérieure PDF Author: École normale supérieure (France)
Publisher:
ISBN:
Category : Electronic journals
Languages : en
Pages : 812

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Spectral Methods of Automorphic Forms

Spectral Methods of Automorphic Forms PDF Author: Henryk Iwaniec
Publisher: American Mathematical Society, Revista Matemática Iberoamericana (RMI), Madrid, Spain
ISBN: 1470466228
Category : Mathematics
Languages : en
Pages : 220

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Book Description
Automorphic forms are one of the central topics of analytic number theory. In fact, they sit at the confluence of analysis, algebra, geometry, and number theory. In this book, Henryk Iwaniec once again displays his penetrating insight, powerful analytic techniques, and lucid writing style. The first edition of this book was an underground classic, both as a textbook and as a respected source for results, ideas, and references. Iwaniec treats the spectral theory of automorphic forms as the study of the space of $L^2$ functions on the upper half plane modulo a discrete subgroup. Key topics include Eisenstein series, estimates of Fourier coefficients, Kloosterman sums, the Selberg trace formula and the theory of small eigenvalues. Henryk Iwaniec was awarded the 2002 Cole Prize for his fundamental contributions to number theory.