Non-Abelian Harmonic Analysis

Name: Non-Abelian Harmonic Analysis
Brand: Springer, Berlin
SKU: 9780387977683
Price: 404.46 RON
Availability: InStock

Applications of SL (2,?)

Autor: Roger Howe, Eng Chye Tan

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Editura: Springer, Berlin

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This book mainly discusses the representation theory of the special linear group 8L(2, 1R), and some...

Informații despre carte

Autor

Roger Howe, Eng Chye Tan

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2012

Pagini

257

EAN

9780387977683

ISBN

0387977686

Enbook ID

06793978

Editura

Springer, Berlin

Greutate

422

Dimensiuni

157 x 235 x 14

Descriere completă

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.

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Non-Abelian Harmonic Analysis

Applications of SL (2,?)

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