**Contemporary Mathematics**

Volume: 191;
1995;
254 pp;
Softcover

MSC: Primary 22; 43;

Print ISBN: 978-0-8218-0310-3

Product Code: CONM/191

List Price: $71.00

Individual Member Price: $56.80

**Electronic ISBN: 978-0-8218-7782-1
Product Code: CONM/191.E**

List Price: $71.00

Individual Member Price: $56.80

# Representation Theory and Harmonic Analysis

Share this page *Edited by *
*Tuong Ton-That; Kenneth I. Gross; Donald St. P. Richards; Paul J. Sally*

This volume is an outgrowth of the Special Session on Representation Theory and Harmonic Analysis held in honor of Ray Kunze at the 889th meeting of the American Mathematical Society on January 12–15, 1994 (Cincinnati). The mathematicians who gathered together for the special session included many of Kunze's former Ph.D. students, research collaborators, and others whose work has been influenced either directly or indirectly through their associations with Kunze. As the session progressed, it became clear that the papers being presented spanned a wide spectrum of group representations and harmonic analysis and their applications that would be of interest to a more extensive audience.

#### Table of Contents

# Table of Contents

## Representation Theory and Harmonic Analysis

- Table of Contents vii8 free
- Dedication ix10 free
- Preface xi12 free
- Supercuspidal Character Formulas for G Ll 114 free
- Geometric Realizations for Highest Weight Representations 1326
- Hankel Transforms and Holomorphic Discrete Series 3346
- Fonctions Sphériques sur un Espace Symétrique Ordonné de Type Cayley 4154
- On Derived Intertwining Norms for the Lorentz Group 5770
- The Holomorphic Cauchy-Szego Kernel for Nonholomorphic Discrete Series Representations of SU(2, 1) 7588
- Invariant Theory for Boundary Components 8396
- Decomposition of Exterior Algebras 99112
- On a Mean Value Property for Hyperbolic Spaces 107120
- Inversion of an Integral Transform and Ladder Representations of U(1,q) 117130
- Fourier Inversion in Several Variables – A New Look at an Old Problem 139152
- Total Positivity, Harmonic Analysis and Random Walks on Weyl Chambers 153166
- Covariant Differential Operators and Derived Functor Modules 163176
- Dual Representations and Invariant Theory 205218
- On the Barish-Chandra Homomorphism of Invariant Differential Operators on a Reductive Lie Algebra 223236
- Spectral Zeta Series of Rank 1 Space Forms 245258

#### Readership

Graduate students and research mathematicians.