The Mathematical Legacy of Harish-Chandra: A Celebration of Representation Theory and Harmonic Analysis : an AMS Special Session Honoring the Memory of Harish-Chandra, January 9-10, 1998, Baltimore, Maryland

Harish-Chandra, Robert S. Doran, V. S. Varadarajan

American Mathematical Soc., 2000 - Mathematics - 551 pages

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.

Contents

• Preface xi: 1
• Some Recollections of HarishChandra: 35
• G DANIEL MOSTOW: 51
• Stabilization of a Family of Differential Equations: 77
• Orbital Integrals of Nilpotent Orbits: 97
• A View from: 111
• Bruhat Filtrations and Whittaker Vectors for Real Groups: 151
• Germs Characters and the Fourier Transforms: 191
• Bessel Functions on Boundary Orbits and Singular: 223
• Restriction of Small Discrete Series Representations: 255
• HarishChandras cFunction A Mathematical Jewel: 273
• HarishChandra Homomorphisms: 321
• S Varadarajan: 331
• Intertwining Operators and Small Unitary Representations: 403
• On Some Problems in Analysis Suggested by Representation: 433
• Distributional Reciprocity and Generalized Gelfand Pairs: 471
• Germs of Characters of Admissible Representations: 501
• SeibergWitten Equations on Locally Symmetric Spaces: 517

Bibliographic information

• Title: The Mathematical Legacy of Harish-Chandra: A Celebration of Representation Theory and Harmonic Analysis : an AMS Special Session Honoring the Memory of Harish-Chandra, January 9-10, 1998, Baltimore, Maryland; Volume 68 of PSPUM Series; Issue 68 of Proceedings of Symposia in Pure Mathematics, ISSN 0082-0717
• Editors: Harish-Chandra, Robert S. Doran, V. S. Varadarajan
• Edition: illustrated
• Publisher: American Mathematical Soc., 2000
• ISBN: 0821868438, 9780821868430
• Length: 551 pages
• Subjects: Mathematics / Algebra / Abstract; Mathematics / Group Theory