Introduction To Harmonic Analysis On Reductive P Adic Groups Based On Lectures By Harish Chandra At The Institute For Advanced Study 1971 72
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Introduction To Harmonic Analysis On Reductive P Adic Groups
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Author : Allan G. Silberger
language : en
Publisher: Princeton University Press
Release Date : 2015-03-08
Introduction To Harmonic Analysis On Reductive P Adic Groups written by Allan G. Silberger and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-08 with Mathematics categories.
Based on a series of lectures given by Harish-Chandra at the Institute for Advanced Study in 1971-1973, this book provides an introduction to the theory of harmonic analysis on reductive p-adic groups. Originally published in 1979. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Introduction To Harmonic Analysis On Reductive P Adic Groups Based On Lectures By Harish Chandra At The Institute For Advanced Study 1971 72
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Author : Allan J. Silberger
language : en
Publisher:
Release Date : 1979
Introduction To Harmonic Analysis On Reductive P Adic Groups Based On Lectures By Harish Chandra At The Institute For Advanced Study 1971 72 written by Allan J. Silberger and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with categories.
P Adic Banach Space Representations
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Author : Dubravka Ban
language : en
Publisher: Springer Nature
Release Date : 2023-02-11
P Adic Banach Space Representations written by Dubravka Ban and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-11 with Mathematics categories.
This book systematically develops the theory of continuous representations on p-adic Banach spaces. Its purpose is to lay the foundations of the representation theory of reductive p-adic groups on p-adic Banach spaces, explain the duality theory of Schneider and Teitelbaum, and demonstrate its applications to continuous principal series. Written to be accessible to graduate students, the book gives a comprehensive introduction to the necessary tools, including Iwasawa algebras, p-adic measures and distributions, p-adic functional analysis, reductive groups, and smooth and algebraic representations. Part 1 culminates with the duality between Banach space representations and Iwasawa modules. This duality is applied in Part 2 for studying the intertwining operators and reducibility of the continuous principal series on p-adic Banach spaces. This monograph is intended to serve both as a reference book and as an introductory text for graduate students and researchers entering the area.
An Introduction To Automorphic Representations
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Author : Jayce R. Getz
language : en
Publisher: Springer Nature
Release Date : 2024-03-01
An Introduction To Automorphic Representations written by Jayce R. Getz and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-03-01 with Mathematics categories.
The goal of this textbook is to introduce and study automorphic representations, objects at the very core of the Langlands Program. It is designed for use as a primary text for either a semester or a year-long course, for the independent study of advanced topics, or as a reference for researchers. The reader is taken from the beginnings of the subject to the forefront of contemporary research. The journey provides an accessible gateway to one of the most fundamental areas of modern mathematics, with deep connections to arithmetic geometry, representation theory, harmonic analysis, and mathematical physics. The first part of the text is dedicated to developing the notion of automorphic representations. Next, it states a rough version of the Langlands functoriality conjecture, motivated by the description of unramified admissible representations of reductive groups over nonarchimedean local fields. The next chapters develop the theory necessary to make the Langlands functoriality conjecture precise. Thus supercuspidal representations are defined locally, cuspidal representations and Eisenstein series are defined globally, and Rankin-Selberg L-functions are defined to give a link between the global and local settings. This preparation complete, the global Langlands functoriality conjectures are stated and known cases are discussed. This is followed by a treatment of distinguished representations in global and local settings. The link between distinguished representations and geometry is explained in a chapter on the cohomology of locally symmetric spaces (in particular, Shimura varieties). The trace formula, an immensely powerful tool in the Langlands Program, is discussed in the final chapters of the book. Simple versions of the general relative trace formulae are treated for the first time in a textbook, and a wealth of related material on algebraic group actions is included. Outlines for several possible courses are provided in the Preface.
Canadian Journal Of Mathematics
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Author :
language : en
Publisher:
Release Date : 1980-04
Canadian Journal Of Mathematics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980-04 with categories.
On Certain L Functions
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Author : James Arthur
language : en
Publisher: American Mathematical Soc.
Release Date : 2011
On Certain L Functions written by James Arthur and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.
Illuminate various areas of the study of geometric, analytic, and number theoretic aspects of automorphic forms and their $L$-functions, and both local and global theory are addressed. Topics discussed in the articles include Langlands functoriality, the Rankin-Selberg method, the Langlands-Shahidi method, motivic Galois groups, Shimura varieties, orbital integrals, representations of $p$-adic groups, Plancherel formula and its consequences, and the Gross-Prasad conjecture.
Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 1981
Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Mathematics categories.
Annals Of Mathematics
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Author :
language : en
Publisher:
Release Date : 1980
Annals Of Mathematics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Electronic journals categories.
Introduction To Harmonic Analysis On Reductive P Adic Groups
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Author : Allan Joseph Silberger
language : en
Publisher:
Release Date : 1979
Introduction To Harmonic Analysis On Reductive P Adic Groups written by Allan Joseph Silberger and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with categories.
Notices Of The American Mathematical Society
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Author : American Mathematical Society
language : en
Publisher:
Release Date : 1980
Notices Of The American Mathematical Society written by American Mathematical Society and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Electronic journals categories.