Contemporary Mathematics 1994; 256 pp; softcover Volume: 177 ISBN10: 082180300X ISBN13: 9780821803004 List Price: US$56 Member Price: US$44.80 Order Code: CONM/177
 Combining presentation of new results with indepth 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 PaleyWiener 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, skewfields 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. Readership Graduate students and researchers in the area of representations and harmonic analysis on real and \(p\)adic Lie groups. Table of Contents  F. P. Greenleaf  Harmonic analysis on nilpotent homogeneous spaces
 R. L. Lipsman  Attributes and applications of the CorwinGreenleaf multiplicity function
 C. PfefferJohnston  On unitary representations of some discrete rational nilpotent groups
 P. J. Sally, Jr.  The work of Lawrence Corwin on the representation theory of reductive \(p\)adic groups
 R. Howe  Hecke algebras and \(p\)adic \(GL_n\)
 D. Barbasch and A. Moy  Whittaker models with an Iwahori fixed vector
 C. J. Bushnell and P. C. Kutzko  Simple types in \(GL(N)\) : Computing conjugacy classes
 T. C. Hales  Hyperelliptic curves and harmonic analysis
 J. Arthur  The trace Paley Wiener theorem for Schwartz functions
 N. R. Wallach  Transfer of unitary representations between real forms
 L. J. Corwin, I. M. Gel'fand, and R. Goodman  Quadratic algebras and skewfields
 R. P. Langlands and M.A. Lafortune  Finite models for percolation
 R. Goodman  Lawrence J. Corwin
 R. Goodman  Conference on representation theory and analysis on homogeneous spaces
