Non-Abelian Harmonic Analysis - Applications of SL (2,?) (Paperback, Softcover reprint of the original 1st ed. 1992)

This book mainly discusses the representation theory of the special linear group 8L(2, 1R), and some applications of this theory. In fact the emphasis is on the applications; the working title of the book while it was being writ ten was "Some Things You Can Do with 8L(2). " Some of the applications are outside representation theory, and some are to representation theory it self. The topics outside representation theory are mostly ones of substantial classical importance (Fourier analysis, Laplace equation, Huyghens' prin ciple, Ergodic theory), while the ones inside representation theory mostly concern themes that have been central to Harish-Chandra's development of harmonic analysis on semisimple groups (his restriction theorem, regularity theorem, character formulas, and asymptotic decay of matrix coefficients and temperedness). We hope this mix of topics appeals to nonspecialists in representation theory by illustrating (without an interminable prolegom ena) how representation theory can offer new perspectives on familiar topics and by offering some insight into some important themes in representation theory itself. Especially, we hope this book popularizes Harish-Chandra's restriction formula, which, besides being basic to his work, is simply a beautiful example of Fourier analysis on Euclidean space. We also hope representation theorists will enjoy seeing examples of how their subject can be used and will be stimulated by some of the viewpoints offered on representation-theoretic issues."

General

Imprint:	Springer-Verlag New York
Country of origin:	United States
Series:	Universitext
Release date:	February 1992
First published:	1992
Authors:	Roger E. Howe • Eng-chye Tan
Dimensions:	235 x 155 x 14mm (L x W x T)
Format:	Paperback
Pages:	259
Edition:	Softcover reprint of the original 1st ed. 1992
ISBN-13:	978-0-387-97768-3
Categories:	Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory
LSN:	0-387-97768-6
Barcode:	9780387977683

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