Presented to you through Paradigm Publishing Services
Princeton University Press
Book
Licensed
Unlicensed
Requires Authentication
Introduction to Harmonic Analysis on Reductive P-adic Groups
Based on lectures by Harish-Chandra at The Institute for Advanced Study, 1971-73
-
Language:
English
Published/Copyright:
2015
About this book
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.
Topics
-
Download PDFPublicly Available
Frontmatter
i -
Download PDFRequires Authentication UnlicensedLicensed
FOREWORD. ACKNOWLEDGMENTS
iii -
Download PDFPublicly Available
TABLE OF CONTENTS
iv -
Download PDFRequires Authentication UnlicensedLicensed
Chapter 0. On the Structure of Reductive p-adic Groups
1 -
Download PDFRequires Authentication UnlicensedLicensed
Chapter 1. Generalities Concerning Totally Disconnected Groups and Their Representations
14 -
Download PDFRequires Authentication UnlicensedLicensed
Chapter 2. Jacquet’s Theory, Bruhat’s Theory, the Elementary Theory of the Constant Term
78 -
Download PDFRequires Authentication UnlicensedLicensed
Chapter 3. Exponents and the Maass-Selberg Relations
116 -
Download PDFRequires Authentication UnlicensedLicensed
Chapter 4. The Schwartz Spaces
147 -
Download PDFRequires Authentication UnlicensedLicensed
Chapter 5. The Eisenstein Integral and Applications
221 -
Download PDFRequires Authentication UnlicensedLicensed
References
362 -
Download PDFRequires Authentication UnlicensedLicensed
SELECTED TERMINOLOGY
365 -
Download PDFRequires Authentication UnlicensedLicensed
SELECTED NOTATIONS
370 -
Download PDFRequires Authentication UnlicensedLicensed
Backmatter
372
Publishing information
Pages and Images/Illustrations in book
eBook published on:
May 19, 2015
eBook ISBN:
9781400871131
Pages and Images/Illustrations in book
eBook ISBN:
9781400871131
Keywords for this book
Theorem; Subgroup; Existential quantification; Lie algebra; Vector space; Projection (linear algebra); Dimension (vector space); Admissible representation; G-module; Levi decomposition; Mathematical induction; Semisimple algebra; Trace (linear algebra); Module homomorphism; Class function (algebra); Algebra homomorphism; Representation theorem; Corollary; Square-integrable function; Set (mathematics); Function (mathematics); Characterization (mathematics); Ring homomorphism; Automorphic form; P-adic number; Support (mathematics); Composition series; Sign (mathematics); Maximal compact subgroup; Locally integrable function; Cartan subgroup; Group isomorphism; Holomorphic function; Inner automorphism; Fundamental lemma (Langlands program); Commutative property; Surjective function; Quotient space (topology); Automorphism; Pole (complex analysis); Universal enveloping algebra; Meromorphic function; Hecke algebra; Characteristic function (probability theory); Haar measure; Module (mathematics); Division algebra; Schwartz space; Order of integration (calculus); Analytic function; Variable (mathematics); Fourier series; Reductive group; Discrete series representation; Tempered representation; Eigenvalues and eigenvectors; Harmonic analysis; Bijection; Adjoint representation; Radon measure; Open set; Subset; Compact space; Functional equation; Bilinear form; Tensor product; Lebesgue measure; Induced representation; Conjugacy class; Representation theory
Audience(s) for this book
For an expert adult audience, including professional development and academic research
