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Representation Theory and Harmonic Analysis
Edited by: Tuong Ton-That, University of Iowa, Iowa City, IA, Kenneth I. Gross, University of Vermont, Burlington, VT, Donald St. P. Richards, University of Virginia, Charlottesville, VA, and Paul J. Sally, Jr., University of Chicago, IL
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Contemporary Mathematics
1995; 254 pp; softcover
Volume: 191
ISBN-10: 0-8218-0310-7
ISBN-13: 978-0-8218-0310-3
List Price: US$67
Member Price: US$53.60
Order Code: CONM/191
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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.

Readership

Graduate students and research mathematicians.

Table of Contents

  • L. Corwin, A. Moy, and P. J. Sally -- Supercuspidal character formulas for \(\operatorname{GL}_\ell\)
  • M. G. Davidson and R. C. Fabec -- Geometric realizations for highest weight representations
  • H. Ding -- Hankel transforms and holomorphic discrete series
  • J. Faraut -- Fonctions sphériques sur un espace symétrique ordonné de type Cayley
  • J. E. Gilbert, R. A. Kunze, and C. Meaney -- On derived intertwining norms for the Lorentz group
  • S. G. Gindikin -- The holomorphic Cauchy-Szegö kernel for nonholomorphic discrete series representations of \(SU(2,1)\)
  • K. I. Gross -- Invariant theory for boundary components
  • K. D. Johnson -- Decomposition of exterior algebras
  • A. Korányi -- On a mean value property for hyperbolic spaces
  • J. D. Lorch and L. A. Mantini -- Inversion of an integral transform and ladder representations of \(U(1,q)\)
  • M. A. Pinsky -- Fourier inversion in several variables--a new look at an old problem
  • D. St. Richards and K. I. Gross -- Total positivity, harmonic analysis and random walks on Weyl chambers
  • R. J. Stanke -- Covariant differential operators and derived functor modules
  • T. Ton-That -- Dual representations and invariant theory
  • N. R. Wallach and M. Hunziker -- On the Harish-Chandra homomorphism of invariant differential operators on a reductive Lie algebra
  • F. L. Williams -- Spectral zeta series of rank 1 space forms
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