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Item Details
Title: REPRESENTATION THEORY AND ANALYSIS ON HOMOGENEOUS SPACES
By: S. Gindikin (Editor), Roe Goodman (Editor), Frederick P. Greenleaf (Editor)
Format: Paperback

List price: £114.00


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ISBN 10: 082180300X
ISBN 13: 9780821803004
Publisher: AMERICAN MATHEMATICAL SOCIETY
Pub. date: 1 January, 1994
Series: Contemporary Mathematics No. 177
Pages: 256
Description: Focuses on representation theory and harmonic analysis on real and $p$-adic groups. This book presents a survey of harmonic analysis on nilpotent homogeneous spaces, results on multiplicity formulas for induced representations, and methods for constructing unitary representations of real reductive groups.
Synopsis: Combining presentation of new results with in-depth surveys of recent work, this book focuses on representation theory and harmonic analysis on real and $p$-adic groups. The papers are based on lectures presented at a conference dedicated to the memory of Larry Corwin and held at Rutgers University in February 1993. The book presents a survey of harmonic analysis on nilpotent homogeneous spaces, results on multiplicity formulas for induced representations, new methods for constructing unitary representations of real reductive groups, and a unified treatment of trace Paley-Wiener theorems for real and $p$-adic reductive groups.In the representation theory of the general linear group over $p$-adic fields, the book provides a description of Corwin's contributions, a survey of the role of Hecke algebras, and a presentation of the theory of simple types. Other types of reductive $p$-adic groups are also discussed. Among the other topics included are the representation theory of discrete rational nilpotent groups, skew-fields associated to quadratic algebras, and finite models for percolation.A timely publication featuring contributions by some of the top researchers in the field, this book offers a perspective not often found in conference proceedings.
Publication: US
Imprint: American Mathematical Society
Returns: Returnable
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