Pub. Date:
Springer New York
Spherical Inversion on SLn(R) / Edition 1

Spherical Inversion on SLn(R) / Edition 1

by Jay Jorgenson, Serge Lang
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For the most part the authors are concerned with SLn(R) and with invariant differential operators, the invarinace being with respect to various subgroups. To a large extent, this book carries out the general results of Harish-Chandra.

Product Details

ISBN-13: 9781441928832
Publisher: Springer New York
Publication date: 12/12/2011
Series: Springer Monographs in Mathematics
Edition description: Softcover reprint of the original 1st ed. 2001
Pages: 426
Product dimensions: 6.10(w) x 9.25(h) x 0.04(d)

Table of Contents

* Iwasawa Decomposition and Positivity * Invariant Differential Operators and the Iwasawa Direct Image * Characters, Eigenfunctions, Spherical Kernel and W-Invariance * Convolutions, Spherical Functions and the Mellin Transform * Gelfand-Naimark Decomposition and the Harish-Chandra --Function * Polar Decomposition * The Casimir Operator * The Harish-Chandra Series for Eigenfunctions of Casimir * General Inversion * The Harish-Chandra Schwartz Space (HCS) and Anker's Proof of Inversion * Tube Domains and the L^1 (Even L^p) HCS Spaces * SL_n(C)

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