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Representation Theory and Automorphic Forms
Edited by: Paul J. Sally, Jr. and Nolan R. Wallach
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Reprints from the Bulletin of the American Mathematical Society
1993; 433 pp; softcover
Volume: 2
ISBN-10: 0-8218-0720-X
ISBN-13: 978-0-8218-0720-0
List Price: US$75
Member Price: US$60
Order Code: BULLRE/2
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The eleven papers collected in this volume appeared in the Bulletin of the AMS during the years 1955 to 1984 and share the theme of the representation theory of locally compact groups and its numerous applications. The papers provide a glimpse at the historical development of a subject which has expanded into many areas of mathematics during the past forty years. In addition, this volume provides easy access to a useful set of references. Chronicling some of the most important developments by some of the field's major figures, this book will appeal to specialists in representation theory as well as to researchers in those areas of mathematics in which representation theory plays an important role.

Readership

Specialists in representation theory and researchers in related areas.

Table of Contents

  • Harish-Chandra -- On the characters of a semisimple Lie group
  • G. W. Mackey -- Infinite-dimensional group representations
  • H. Furstenberg -- Translation-invariant cones of functions on semi-simple Lie groups
  • B. Kostant -- On the existence and irreducibility of certain series of representations
  • J. A. Wolf -- The action of a real semisimple group on a complex flag manifold. I: Orbit structure and holomorphic arc components
  • Harish-Chandra -- Harmonic analysis on semisimple Lie groups
  • N. R. Wallach -- On the Selberg trace formula in the case of compact quotient
  • S. Helgason -- Invariant differential equations on homogeneous manifolds
  • R. Howe -- On the role of the Heisenberg group in harmonic analysis
  • R. J. Zimmer -- Ergodic theory, group representations, and rigidity
  • S. Gelbart -- An elementary introduction to the Langlands program
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