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Author : Jan Kohlhaase
Publisher :
ISBN 13 :
Total Pages : 68 pages
Book Rating : 4.:/5 (723 download)
Download or read book Invariant Distributions on P-adic Analytic Groups written by Jan Kohlhaase and published by . This book was released on 2005 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Harish-Chandra
Publisher : American Mathematical Soc.
ISBN 13 : 0821820257
Total Pages : 113 pages
Book Rating : 4.8/5 (218 download)
Download or read book Admissible Invariant Distributions on Reductive $p$-adic Groups written by Harish-Chandra and published by American Mathematical Soc.. This book was released on 1999 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The main purpose of Harish-Chandra's lectures was to show that the character of an irreducible admissible representation of a connected reductive p-adic group G is represented by a locally summable function on G.A key ingredient in this proof is the study of the Fourier transforms of distributions on g, the Lie algebra of G. In particular, Harish-Chandra shows that if the support of a G-invariant distribution on g is compactly generated, then its Fourier transform has an asymptotic expansion about any semisimple point of g."--Jacket.
Author : B. Harish-Chandra
Publisher : Springer
ISBN 13 : 3540363726
Total Pages : 135 pages
Book Rating : 4.5/5 (43 download)
Download or read book Harmonic Analysis on Reductive p-adic Groups written by B. Harish-Chandra and published by Springer. This book was released on 2006-11-15 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alain Escassut
Publisher : World Scientific
ISBN 13 : 9814730122
Total Pages : 559 pages
Book Rating : 4.8/5 (147 download)
Download or read book Value Distribution In P-adic Analysis written by Alain Escassut and published by World Scientific. This book was released on 2015-11-27 with total page 559 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book first explains the main properties of analytic functions in order to use them in the study of various problems in p-adic value distribution. Certain properties of p-adic transcendental numbers are examined such as order and type of transcendence, with problems on p-adic exponentials. Lazard's problem for analytic functions inside a disk is explained. P-adic meromorphics are studied. Sets of range uniqueness in a p-adic field are examined. The ultrametric Corona problem is studied. Injective analytic elements are characterized. The p-adic Nevanlinna theory is described and many applications are given: p-adic Hayman conjecture, Picard's values for derivatives, small functions, branched values, growth of entire functions, problems of uniqueness, URSCM and URSIM, functions of uniqueness, sharing value problems, Nevanlinna theory in characteristic p>0, p-adic Yosida's equation.
Author : Robert S. Doran, Paul J. Sally, Jr., and Loren Spice
Publisher : American Mathematical Soc.
ISBN 13 : 0821874039
Total Pages : 294 pages
Book Rating : 4.8/5 (218 download)
Download or read book Harmonic Analysis on Reductive, $p$-adic Groups written by Robert S. Doran, Paul J. Sally, Jr., and Loren Spice and published by American Mathematical Soc.. This book was released on 2011 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David Jordan
Publisher : Cambridge University Press
ISBN 13 : 1009103474
Total Pages : 408 pages
Book Rating : 4.0/5 (91 download)
Download or read book Modern Trends in Algebra and Representation Theory written by David Jordan and published by Cambridge University Press. This book was released on 2023-07-31 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Expanding upon the material delivered during the LMS Autumn Algebra School 2020, this volume reflects the fruitful connections between different aspects of representation theory. Each survey article addresses a specific subject from a modern angle, beginning with an exploration of the representation theory of associative algebras, followed by the coverage of important developments in Lie theory in the past two decades, before the final sections introduce the reader to three strikingly different aspects of group theory. Written at a level suitable for graduate students and researchers in related fields, this book provides pure mathematicians with a springboard into the vast and growing literature in each area.
Author : Eng-chye Tan
Publisher : World Scientific
ISBN 13 : 9814483087
Total Pages : 426 pages
Book Rating : 4.8/5 (144 download)
Download or read book Representations Of Real And P-adic Groups written by Eng-chye Tan and published by World Scientific. This book was released on 2004-04-15 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Institute for Mathematical Sciences at the National University of Singapore hosted a research program on “Representation Theory of Lie Groups” from July 2002 to January 2003. As part of the program, tutorials for graduate students and junior researchers were given by leading experts in the field.This invaluable volume collects the expanded lecture notes of those tutorials. The topics covered include uncertainty principles for locally compact abelian groups, fundamentals of representations of p-adic groups, the Harish-Chandra-Howe local character expansion, classification of the square-integrable representations modulo cuspidal data, Dirac cohomology and Vogan's conjecture, multiplicity-free actions and Schur-Weyl-Howe duality.The lecturers include Tomasz Przebinda from the University of Oklahoma, USA; Gordan Savin from the University of Utah, USA; Stephen DeBacker from Harvard University, USA; Marko Tadić from the University of Zagreb, Croatia; Jing-Song Huang from The Hong Kong University of Science and Technology, Hong Kong; Pavle Pandǽić from the University of Zagreb, Croatia; Chal Benson and Gail Ratcliff from East Carolina University, USA; and Roe Goodman from Rutgers University, USA.
Author : Allan G. Silberger
Publisher : Princeton University Press
ISBN 13 : 1400871131
Total Pages : 379 pages
Book Rating : 4.4/5 (8 download)
Download or read book Introduction to Harmonic Analysis on Reductive P-adic Groups. (MN-23) written by Allan G. Silberger and published by Princeton University Press. This book was released on 2015-03-08 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : W. Barker
Publisher : Springer Science & Business Media
ISBN 13 : 1461204550
Total Pages : 395 pages
Book Rating : 4.4/5 (612 download)
Download or read book Harmonic Analysis on Reductive Groups written by W. Barker and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: A conference on Harmonic Analysis on Reductive Groups was held at Bowdoin College in Brunswick, Maine from July 31 to August 11, 1989. The stated goal of the conference was to explore recent advances in harmonic analysis on both real and p-adic groups. It was the first conference since the AMS Summer Sym posium on Harmonic Analysis on Homogeneous Spaces, held at Williamstown, Massachusetts in 1972, to cover local harmonic analysis on reductive groups in such detail and to such an extent. While the Williamstown conference was longer (three weeks) and somewhat broader (nilpotent groups, solvable groups, as well as semisimple and reductive groups), the structure and timeliness of the two meetings was remarkably similar. The program of the Bowdoin Conference consisted of two parts. First, there were six major lecture series, each consisting of several talks addressing those topics in harmonic analysis on real and p-adic groups which were the focus of intensive research during the previous decade. These lectures began at an introductory level and advanced to the current state of research. Sec ond, there was a series of single lectures in which the speakers presented an overview of their latest research.
Author : Fiona Anne Murnaghan
Publisher :
ISBN 13 :
Total Pages : 98 pages
Book Rating : 4.:/5 (175 download)
Download or read book Meromorphic Invariant Distributions on P-adic GL(N) written by Fiona Anne Murnaghan and published by . This book was released on 1987 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jonathan David Rogawski
Publisher : Princeton University Press
ISBN 13 : 1400882443
Total Pages : 272 pages
Book Rating : 4.4/5 (8 download)
Download or read book Automorphic Representation of Unitary Groups in Three Variables. (AM-123), Volume 123 written by Jonathan David Rogawski and published by Princeton University Press. This book was released on 2016-03-02 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to develop the stable trace formula for unitary groups in three variables. The stable trace formula is then applied to obtain a classification of automorphic representations. This work represents the first case in which the stable trace formula has been worked out beyond the case of SL (2) and related groups. Many phenomena which will appear in the general case present themselves already for these unitary groups.
Author : Patrick Delorme
Publisher : Springer Science & Business Media
ISBN 13 : 081768204X
Total Pages : 518 pages
Book Rating : 4.8/5 (176 download)
Download or read book Noncommutative Harmonic Analysis written by Patrick Delorme and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dedicated to Jacques Carmona, an expert in noncommutative harmonic analysis, the volume presents excellent invited/refereed articles by top notch mathematicians. Topics cover general Lie theory, reductive Lie groups, harmonic analysis and the Langlands program, automorphic forms, and Kontsevich quantization. Good text for researchers and grad students in representation theory.
Author : Werner Müller
Publisher : Springer
ISBN 13 : 3319414240
Total Pages : 581 pages
Book Rating : 4.3/5 (194 download)
Download or read book Families of Automorphic Forms and the Trace Formula written by Werner Müller and published by Springer. This book was released on 2016-09-20 with total page 581 pages. Available in PDF, EPUB and Kindle. Book excerpt: Featuring the work of twenty-three internationally-recognized experts, this volume explores the trace formula, spectra of locally symmetric spaces, p-adic families, and other recent techniques from harmonic analysis and representation theory. Each peer-reviewed submission in this volume, based on the Simons Foundation symposium on families of automorphic forms and the trace formula held in Puerto Rico in January-February 2014, is the product of intensive research collaboration by the participants over the course of the seven-day workshop. The goal of each session in the symposium was to bring together researchers with diverse specialties in order to identify key difficulties as well as fruitful approaches being explored in the field. The respective themes were counting cohomological forms, p-adic trace formulas, Hecke fields, slopes of modular forms, and orbital integrals.
Author : Garth Warner
Publisher : Springer Science & Business Media
ISBN 13 : 364250275X
Total Pages : 545 pages
Book Rating : 4.6/5 (425 download)
Download or read book Harmonic Analysis on Semi-Simple Lie Groups I written by Garth Warner and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: The representation theory of locally compact groups has been vig orously developed in the past twenty-five years or so; of the various branches of this theory, one of the most attractive (and formidable) is the representation theory of semi-simple Lie groups which, to a great extent, is the creation of a single man: Harish-Chandra. The chief objective of the present volume and its immediate successor is to provide a reasonably self-contained introduction to Harish-Chandra's theory. Granting cer tain basic prerequisites (cf. infra), we have made an effort to give full details and complete proofs of the theorems on which the theory rests. The structure of this volume and its successor is as follows. Each book is divided into chapters; each chapter is divided into sections; each section into numbers. We then use the decimal system of reference; for example, 1. 3. 2 refers to the second number in the third section of the first chapter. Theorems, Propositions, Lemmas, and Corollaries are listed consecutively throughout any given number. Numbers which are set in fine print may be omitted at a first reading. There are a variety of Exam ples scattered throughout the text; the reader, if he is so inclined, can view them as exercises ad libitum. The Appendices to the text collect certain ancillary results which will be used on and off in the systematic exposi tion; a reference of the form A2.
Author : Garth Warner
Publisher : Springer Science & Business Media
ISBN 13 : 3642516408
Total Pages : 501 pages
Book Rating : 4.6/5 (425 download)
Download or read book Harmonic Analysis on Semi-Simple Lie Groups II written by Garth Warner and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Yuval Z. Flicker
Publisher : Birkhäuser
ISBN 13 : 3319315935
Total Pages : 573 pages
Book Rating : 4.3/5 (193 download)
Download or read book Arthur's Invariant Trace Formula and Comparison of Inner Forms written by Yuval Z. Flicker and published by Birkhäuser. This book was released on 2016-09-14 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides an accessible and comprehensive introduction to James Arthur’s invariant trace formula, a crucial tool in the theory of automorphic representations. It synthesizes two decades of Arthur’s research and writing into one volume, treating a highly detailed and often difficult subject in a clearer and more uniform manner without sacrificing any technical details. The book begins with a brief overview of Arthur’s work and a proof of the correspondence between GL(n) and its inner forms in general. Subsequent chapters develop the invariant trace formula in a form fit for applications, starting with Arthur’s proof of the basic, non-invariant trace formula, followed by a study of the non-invariance of the terms in the basic trace formula, and, finally, an in-depth look at the development of the invariant formula. The final chapter illustrates the use of the formula by comparing it for G’ = GL(n) and its inner form G and for functions with matching orbital integrals.bribr/i/idiviiArthur’s Invariant Trace Formula and Comparison of Inner Forms/div
Author : Jayce R. Getz
Publisher : Springer Nature
ISBN 13 : 3031411536
Total Pages : 611 pages
Book Rating : 4.0/5 (314 download)
Download or read book An Introduction to Automorphic Representations written by Jayce R. Getz and published by Springer Nature. This book was released on with total page 611 pages. Available in PDF, EPUB and Kindle. Book excerpt:
