The Mathematical Legacy of Harish-Chandra: A Celebration of Representation Theory and Harmonic Analysis

The Mathematical Legacy of Harish-Chandra: A Celebration of Representation Theory and Harmonic Analysis

by Robert S. Doran
     
 

ISBN-10: 0821811975

ISBN-13: 9780821811979

Pub. Date: 04/04/2000

Publisher: American Mathematical Society

Harish-Chandra was a mathematician of great power, vision, and remarkable ingenuity. His profound contributions to the representation theory of Lie groups, harmonic analysis, and related areas left researchers a rich legacy that continues today. This book presents the proceedings of an AMS Special Session entitled, ''Representation Theory and Noncommutative

Overview

Harish-Chandra was a mathematician of great power, vision, and remarkable ingenuity. His profound contributions to the representation theory of Lie groups, harmonic analysis, and related areas left researchers a rich legacy that continues today. This book presents the proceedings of an AMS Special Session entitled, ''Representation Theory and Noncommutative Harmonic Analysis: A Special Session Honoring the Memory of Harish-Chandra'', which marked 75 years since his birth and 15 years since his untimely death at age 60. Contributions to the volume were written by an outstanding group of internationally known mathematicians. Included are expository and historical surveys and original research papers. The book also includes talks given at the IAS Memorial Service in 1983 by colleagues who knew Harish-Chandra well. Also reprinted are two articles entitled, ''Some Recollections of Harish-Chandra'', by A. Borel, and ''Harish-Chandra's c-Function: A Mathematical Jewel'', by S. Helgason. In addition, an expository paper, ''An Elementary Introduction to Harish-Chandra's Work'', gives an overview of some of his most basic mathematical ideas with references for further study. This volume offers a comprehensive retrospective of Harish-Chandra's professional life and work. Personal recollections give the book particular significance. Readers should have an advanced-level background in the representation theory of Lie groups and harmonic analysis. For other wonderful titles written by this author see: Euler through Time: A New Look at Old Themes, Supersymmetry for Mathematicians: An Introduction, The Selected Works of V.S. Varadarajan, and Algebra in Ancient and Modern Times.

Product Details

ISBN-13:
9780821811979
Publisher:
American Mathematical Society
Publication date:
04/04/2000
Series:
Pspum Series, #68
Pages:
549
Product dimensions:
7.09(w) x 10.63(h) x (d)

Table of Contents

Prefacexi
Harish-Chandra, His Work, and its Legacy1
Some Recollections of Harish-Chandra37
Harish-Chandra Memorial Talk43
Harish-Chandra Memorial Talk47
Harish-Chandra Memorial Talk51
Harish-Chandra Memorial Talk55
An Elementary Introduction to Harish-Chandra's Work59
Stabilization of a Family of Differential Equations77
Orbital Integrals of Nilpotent Orbits97
Representation Theory of p-adic Groups: A View from Operator Algebras111
Bruhat Filtrations and Whittaker Vectors for Real Groups151
Germs, Characters, and the Fourier Transforms of Nilpotent Orbits191
Bessel Functions on Boundary Orbits and Singular Holomorphic Representations223
Restriction of Small Discrete Series Representations to Symmetric Subgroups255
Harish-Chandra's c-Function. A Mathematical Jewel273
Two-structures and Discrete Series Character Formulas285
Harish-Chandra Homomorphisms321
Unitary Representations and Osterwalder-Schrader Duality333
Intertwining Operators and Small Unitary Representations403
On Some Problems in Analysis Suggested by Representation Theory433
Distributional Reciprocity and Generalized Gelfand Pairs471
Displacement Functions on the Bruhat-Tits Building483
Germs of Characters of Admissible Representations501
Seiberg-Witten Equations on Locally Symmetric Spaces517
Holomorphic Double Fibration Transforms527

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