**Proceedings of Symposia in Pure Mathematics**

Volume: 68;
2000;
549 pp;
Hardcover

MSC: Primary 05; 11; 15; 17; 19; 22; 32; 44; 46; 47; 58; 81; 43;

Print ISBN: 978-0-8218-1197-9

Product Code: PSPUM/68

List Price: $128.00

Individual Member Price: $102.40

**Electronic ISBN: 978-0-8218-9373-9
Product Code: PSPUM/68.E**

List Price: $128.00

Individual Member Price: $102.40

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

Share this page *Edited by *
*Robert S. Doran; V. S. Varadarajan*

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*.

#### Table of Contents

# Table of Contents

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

- Table of Contents ix10 free
- Preface xi12 free
- Harish-Chandra, His Work, and its Legacy 114 free
- Some Recollections of Harish-Chandra 3750
- Harish-Chandra Memorial Talk 4356
- Harish-Chandra Memorial Talk 4760
- Harish-Chandra Memorial Talk 5164
- Harish-Chandra Memorial Talk 5568
- An Elementary Introduction to Harish-Chandra's Work 5972
- Stabilization of a Family of Differential Equations 7790
- Orbital Integrals of Nilpotent Orbits 97110
- Representation Theory of p-adic Groups: A View from Operator Algebras 111124
- Bruhat Filtrations and Whittaker Vectors for Real Groups 151164
- Germs, Characters, and the Fourier Transforms of Nilpotent Orbits 191204
- Bessel Functions on Boundary Orbits and Singular Holomorphic Representations 223236
- Restriction of Small Discrete Series Representations to Symmetric Subgroups 255268
- Harish-Chandra's c-Function. A Mathematical Jewel 273286
- Two-structures and Discrete Series Character Formulas 285298
- Harish-Chandra Homomorphisms 321334
- Unitary Representations and Osterwalder-Schrader Duality 333346
- Intertwining Operators and Small Unitary Representations 403416
- On Some Problems in Analysis Suggested by Representation Theory 433446
- Distributional Reciprocity and Generalized Gelfand Pairs 471484
- Displacement Functions on the Bruhat-Tits Building 483496
- Germs of Characters of Admissible Representations 501514
- Seiberg-Witten Equations on Locally Symmetric Spaces 517530
- Holomorphic Double Fibration Transforms 527540

#### Readership

Graduate students and research mathematicians interested in representation theory of Lie groups and harmonic analysis; historians of mathematics.