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

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Automorphic Representations And L Functions For The General Linear Group
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Author : Dorian Goldfeld
language : en
Publisher: Cambridge University Press
Release Date : 2011-04-21
Automorphic Representations And L Functions For The General Linear Group written by Dorian Goldfeld and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-21 with Mathematics categories.
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.
Automorphic Representations And L Functions For The General Linear Group Volume 1
DOWNLOAD
Author : Dorian Goldfeld
language : en
Publisher: Cambridge University Press
Release Date : 2011-04-21
Automorphic Representations And L Functions For The General Linear Group Volume 1 written by Dorian Goldfeld and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-21 with Mathematics categories.
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.
Automorphic Representations And L Functions For The General Linear Group
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Author : D. Goldfeld
language : en
Publisher:
Release Date : 2011
Automorphic Representations And L Functions For The General Linear Group written by D. Goldfeld and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Automorphic forms categories.
This modern, graduate-level textbook does not assume prior knowledge of representation theory. Includes numerous concrete examples and over 250 exercises.
Automorphic Representations And L Functions For The General Linear Group
DOWNLOAD
Author : Dorian Goldfeld
language : en
Publisher: Cambridge University Press
Release Date : 2011-04-21
Automorphic Representations And L Functions For The General Linear Group written by Dorian Goldfeld and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-21 with Mathematics categories.
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.
Automorphic Representations And L Functions For The General Linear Group
DOWNLOAD
Author :
language : en
Publisher:
Release Date : 2011
Automorphic Representations And L Functions For The General Linear Group written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Automorphic forms categories.
Automorphic Representations And L Functions For The General Linear Group
DOWNLOAD
Author : D. Goldfeld
language : en
Publisher:
Release Date : 2011
Automorphic Representations And L Functions For The General Linear Group written by D. Goldfeld and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Automorphic forms categories.
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.
Classical And Multilinear Harmonic Analysis Volume 1
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Author : Camil Muscalu
language : en
Publisher: Cambridge University Press
Release Date : 2013-01-31
Classical And Multilinear Harmonic Analysis Volume 1 written by Camil Muscalu and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-31 with Mathematics categories.
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.
Automorphic Forms On Gl 2
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Author : H. Jacquet
language : en
Publisher: Springer
Release Date : 2006-11-15
Automorphic Forms On Gl 2 written by H. Jacquet and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
Zeta Integrals Schwartz Spaces And Local Functional Equations
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Author : Wen-Wei Li
language : en
Publisher: Springer
Release Date : 2018-11-02
Zeta Integrals Schwartz Spaces And Local Functional Equations written by Wen-Wei Li and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-02 with Mathematics categories.
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.
Automorphic Representations And L Functions For The General Linear Group
DOWNLOAD
Author : Dorian Goldfeld
language : en
Publisher:
Release Date : 2011
Automorphic Representations And L Functions For The General Linear Group written by Dorian Goldfeld and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Automorphic forms categories.
This modern, graduate-level textbook does not assume prior knowledge of representation theory. Includes numerous concrete examples and exercises.