Semen Grigorʹevich Gindikin

Simon Gindikin

Frederick P. Greenleaf

Roe Goodman

Paul J. Sally

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.

A Conference in Memory of Larry Corwin, February 5-7, 1993, Rutgers University

Representation Theory and Analysis on Homogeneous Spaces

Nolan R. Wallach

Presents an updated version of Weyl's invariant theory of the classical groups, together with many of the important recent developments.

Roe Goodman

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