Automorphic Representations And L Functions For The General Linear Group Volume 1

Author : Dorian Goldfeld,Joseph Hundley
Publisher : Cambridge University Press
Page : 571 pages
File Size : 40,7 Mb
Release : 2011-04-21
Category : Mathematics
ISBN : 9781139500135

Get Book

Automorphic Representations and L-Functions for the General Linear Group: Volume 1 by Dorian Goldfeld,Joseph Hundley Pdf

This graduate-level textbook provides an elementary exposition of the theory of automorphic representations and L-functions for the general linear group in an adelic setting. Definitions are kept to a minimum and repeated when reintroduced so that the book is accessible from any entry point, and with no prior knowledge of representation theory. The book includes concrete examples of global and local representations of GL(n), and presents their associated L-functions. In Volume 1, the theory is developed from first principles for GL(1), then carefully extended to GL(2) with complete detailed proofs of key theorems. Several proofs are presented for the first time, including Jacquet's simple and elegant proof of the tensor product theorem. In Volume 2, the higher rank situation of GL(n) is given a detailed treatment. Containing numerous exercises by Xander Faber, this book will motivate students and researchers to begin working in this fertile field of research.

Author : Dorian Goldfeld,Joseph Hundley
Publisher : Cambridge University Press
Page : 572 pages
File Size : 50,8 Mb
Release : 2011-04-21
Category : Mathematics
ISBN : 052147423X

Get Book

Automorphic Representations and L-Functions for the General Linear Group: by Dorian Goldfeld,Joseph Hundley Pdf

This graduate-level textbook provides an elementary exposition of the theory of automorphic representations and L-functions for the general linear group in an adelic setting. The authors keep definitions to a minimum and repeat them when reintroduced so that the book is accessible from any entry point, and with no prior knowledge of representation theory. They also include concrete examples of both global and local representations of GL(n), and present their associated L-functions. The theory is developed from first principles for GL(1), then carefully extended to GL(2) with complete detailed proofs of key theorems. Several of the proofs are here presented for the first time, including Jacquet's simple and elegant proof of the tensor product theorem. Finally, the higher rank situation of GL(n) is given a detailed treatment. Containing numerous exercises, this book will motivate students and researchers to begin working in this fertile field of research.

Author : D. Goldfeld
Publisher : Unknown
Page : 550 pages
File Size : 42,9 Mb
Release : 2011
Category : Automorphic forms
ISBN : 1139069276

Get Book

Automorphic Representations and L-functions for the General Linear Group by D. Goldfeld Pdf

This modern, graduate-level textbook does not assume prior knowledge of representation theory. Includes numerous concrete examples and over 250 exercises.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 50,7 Mb
Release : 2011
Category : Automorphic forms
ISBN : OCLC:780534844

Get Book

Automorphic Representations and L-functions for the General Linear Group by Anonim Pdf

Author : Dorian Goldfeld,Joseph Hundley
Publisher : Cambridge University Press
Page : 210 pages
File Size : 50,7 Mb
Release : 2011-04-21
Category : Mathematics
ISBN : 1107007992

Get Book

Automorphic Representations and L-Functions for the General Linear Group: by Dorian Goldfeld,Joseph Hundley Pdf

This graduate-level textbook provides an elementary exposition of the theory of automorphic representations and L-functions for the general linear group in an adelic setting. Definitions are kept to a minimum and repeated when reintroduced so that the book is accessible from any entry point, and with no prior knowledge of representation theory. The book includes concrete examples of global and local representations of GL(n), and presents their associated L-functions. In Volume 1, the theory is developed from first principles for GL(1), then carefully extended to GL(2) with complete detailed proofs of key theorems. Several proofs are presented for the first time, including Jacquet's simple and elegant proof of the tensor product theorem. In Volume 2, the higher rank situation of GL(n) is given a detailed treatment. Containing numerous exercises, this book will motivate students and researchers to begin working in this fertile field of research.

Author : D. Goldfeld,Joseph Hundley
Publisher : Unknown
Page : 188 pages
File Size : 49,9 Mb
Release : 2011
Category : Automorphic forms
ISBN : 1107471303

Get Book

Automorphic Representations and L-functions for the General Linear Group by D. Goldfeld,Joseph Hundley Pdf

This graduate-level textbook provides an elementary exposition of the theory of automorphic representations and L-functions for the general linear group in an adelic setting. Definitions are kept to a minimum and repeated when reintroduced so that the book is accessible from any entry point, and with no prior knowledge of representation theory. The book includes concrete examples of global and local representations of GL(n), and presents their associated L-functions. In Volume 1, the theory is developed from first principles for GL(1), then carefully extended to GL(2) with complete detailed proofs of key theorems. Several proofs are presented for the first time, including Jacquet's simple and elegant proof of the tensor product theorem. In Volume 2, the higher rank situation of GL(n) is given a detailed treatment. Containing numerous exercises by Xander Faber, this book will motivate students and researchers to begin working in this fertile field of research.

Author : D. Goldfeld
Publisher : Unknown
Page : 188 pages
File Size : 42,8 Mb
Release : 2011
Category : Automorphic forms
ISBN : 1139070851

Get Book

Automorphic Representations and L-functions for the General Linear Group by D. Goldfeld Pdf

This modern, graduate-level textbook does not assume prior knowledge of representation theory. Includes numerous concrete examples and exercises.

Author : Dorian Goldfeld
Publisher : Cambridge University Press
Page : 65 pages
File Size : 52,9 Mb
Release : 2006-08-03
Category : Mathematics
ISBN : 9781139456203

Get Book

Automorphic Forms and L-Functions for the Group GL(n,R) by Dorian Goldfeld Pdf

L-functions associated to automorphic forms encode all classical number theoretic information. They are akin to elementary particles in physics. This book provides an entirely self-contained introduction to the theory of L-functions in a style accessible to graduate students with a basic knowledge of classical analysis, complex variable theory, and algebra. Also within the volume are many new results not yet found in the literature. The exposition provides complete detailed proofs of results in an easy-to-read format using many examples and without the need to know and remember many complex definitions. The main themes of the book are first worked out for GL(2,R) and GL(3,R), and then for the general case of GL(n,R). In an appendix to the book, a set of Mathematica functions is presented, designed to allow the reader to explore the theory from a computational point of view.

Author : H. Jacquet
Publisher : Springer
Page : 156 pages
File Size : 49,6 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540376125

Get Book

Automorphic Forms on GL (2) by H. Jacquet Pdf

Author : Armand Borel,W. Casselman,American Mathematical Society
Publisher : American Mathematical Soc.
Page : 394 pages
File Size : 44,5 Mb
Release : 1979-06-30
Category : Mathematics
ISBN : 9780821814376

Get Book

Automorphic Forms, Representations and $L$-Functions by Armand Borel,W. Casselman,American Mathematical Society Pdf

Part 2 contains sections on Automorphic representations and $L$-functions, Arithmetical algebraic geometry and $L$-functions

Author : Camil Muscalu,Wilhelm Schlag
Publisher : Cambridge University Press
Page : 389 pages
File Size : 55,8 Mb
Release : 2013-01-31
Category : Mathematics
ISBN : 9781139619165

Get Book

Classical and Multilinear Harmonic Analysis: Volume 1 by Camil Muscalu,Wilhelm Schlag Pdf

This two-volume text in harmonic analysis introduces a wealth of analytical results and techniques. It is largely self-contained and will be useful to graduate students and researchers in both pure and applied analysis. Numerous exercises and problems make the text suitable for self-study and the classroom alike. This first volume starts with classical one-dimensional topics: Fourier series; harmonic functions; Hilbert transform. Then the higher-dimensional Calderón–Zygmund and Littlewood–Paley theories are developed. Probabilistic methods and their applications are discussed, as are applications of harmonic analysis to partial differential equations. The volume concludes with an introduction to the Weyl calculus. The second volume goes beyond the classical to the highly contemporary and focuses on multilinear aspects of harmonic analysis: the bilinear Hilbert transform; Coifman–Meyer theory; Carleson's resolution of the Lusin conjecture; Calderón's commutators and the Cauchy integral on Lipschitz curves. The material in this volume has not previously appeared together in book form.

Author : Richard P. Stanley
Publisher : Cambridge University Press
Page : 641 pages
File Size : 40,7 Mb
Release : 2011-12-12
Category : Mathematics
ISBN : 9781139505369

Get Book

Enumerative Combinatorics: Volume 1 by Richard P. Stanley Pdf

Richard Stanley's two-volume basic introduction to enumerative combinatorics has become the standard guide to the topic for students and experts alike. This thoroughly revised second edition of Volume 1 includes ten new sections and more than 300 new exercises, most with solutions, reflecting numerous new developments since the publication of the first edition in 1986. The author brings the coverage up to date and includes a wide variety of additional applications and examples, as well as updated and expanded chapter bibliographies. Many of the less difficult new exercises have no solutions so that they can more easily be assigned to students. The material on P-partitions has been rearranged and generalized; the treatment of permutation statistics has been greatly enlarged; and there are also new sections on q-analogues of permutations, hyperplane arrangements, the cd-index, promotion and evacuation and differential posets.

Author : Wen-Wei Li
Publisher : Springer
Page : 148 pages
File Size : 55,6 Mb
Release : 2018-11-02
Category : Mathematics
ISBN : 9783030012885

Get Book

Zeta Integrals, Schwartz Spaces and Local Functional Equations by Wen-Wei Li Pdf

This book focuses on a conjectural class of zeta integrals which arose from a program born in the work of Braverman and Kazhdan around the year 2000, the eventual goal being to prove the analytic continuation and functional equation of automorphic L-functions. Developing a general framework that could accommodate Schwartz spaces and the corresponding zeta integrals, the author establishes a formalism, states desiderata and conjectures, draws implications from these assumptions, and shows how known examples fit into this framework, supporting Sakellaridis' vision of the subject. The collected results, both old and new, and the included extensive bibliography, will be valuable to anyone who wishes to understand this program, and to those who are already working on it and want to overcome certain frequently occurring technical difficulties.

Author : Julia Mueller,Freydoon Shahidi
Publisher : Cambridge University Press
Page : 451 pages
File Size : 55,6 Mb
Release : 2021-08-05
Category : Mathematics
ISBN : 9781108710947

Get Book

The Genesis of the Langlands Program by Julia Mueller,Freydoon Shahidi Pdf

A step-by-step guide to Langlands' early work leading up the Langlands Program for mathematicians and advanced students.

Author : Philipp Fleig,Henrik P. A. Gustafsson,Axel Kleinschmidt,Daniel Persson
Publisher : Cambridge Studies in Advanced
Page : 587 pages
File Size : 54,8 Mb
Release : 2018-07-05
Category : Mathematics
ISBN : 9781107189928

Get Book

Eisenstein Series and Automorphic Representations by Philipp Fleig,Henrik P. A. Gustafsson,Axel Kleinschmidt,Daniel Persson Pdf

Detailed exposition of automorphic representations and their relation to string theory, for mathematicians and theoretical physicists.