Non-Abelian Harmonic Analysis: Applications of SL (2,? ) - Couverture souple

Eng Chye Tan, Roger Howe

 
9780387977683: Non-Abelian Harmonic Analysis: Applications of SL (2,? )
Couverture souple
ISBN 10 : 0387977686 ISBN 13 : 9780387977683
Editeur : Springer New York, 1992

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer New York
Date d'édition
1992
Langue
anglais
ISBN 10 
0387977686
ISBN 13 
9780387977683
Reliure
Broché
Nombre de pages
276
Coordonnées du fabricant
non disponible
Personne responsable
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Autres éditions populaires du même titre

9783540977681: Non-Abelian Harmonic Analysis Applications of SL(2, R)

Edition présentée

ISBN 10 :  3540977686 ISBN 13 :  9783540977681
Editeur : Springer-Verlag Berlin and Heide..., 1992
Couverture souple