Spherical Inversion on SLn(R)

Name: Spherical Inversion on SLn(R)
SKU: 8961082
Price: 293.00 NZD
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Format:

Paperback / softback

Series:

Springer Monographs in Mathematics

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Description

Harish-Chandra's general Plancherel inversion theorem admits a much shorter presentation for spherical functions. The authors have taken into account contributions by Helgason, Gangolli, Rosenberg, and Anker from the mid-1960s to 1990. Anker's simplification of spherical inversion on the Harish-Chandra Schwartz space had not yet made it into a book exposition. Previous expositions have dealt with a general, wide class of Lie groups. This has made access to the subject difficult for outsiders, who may wish to connect some aspects with several if not all other parts of mathematics, and do so in specific cases of intrinsic interest. The essential features of Harish-Chandra theory are exhibited on SLn(R), but hundreds of pages of background can be replaced by short direct verifications. The material becomes accessible to graduate students with especially no background in Lie groups and representation theory. Spherical inversion is sufficient to deal with the heat kernel, which is at the center of the authors' current research. The book will serve as a self-contained background for parts of this research.

Release date NZ

December 12th, 2011

Author

Audience

Professional & Vocational

Edition

Softcover reprint of the original 1st ed. 2001

Illustrations

1 Illustrations, black and white; XX, 426 p. 1 illus.

Pages

426

Series

Springer Monographs in Mathematics

Dimensions

155x235x23

ISBN-13

9781441928832

Product ID

8961082

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