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Representation Theory and Analysis on Homogeneous Spaces, Paperback / softback Book

Representation Theory and Analysis on Homogeneous Spaces Paperback / softback

Part of the Contemporary Mathematics series

Paperback / softback

Description

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.

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