Spherical Inversion on SLn(R) / Edition 1

Spherical Inversion on SLn(R) / Edition 1

by Jay Jorgenson, Serge Lang
     
 

ISBN-10: 1441928839

ISBN-13: 9781441928832

Pub. Date: 09/12/2014

Publisher: Springer New York

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.  See more details below

Overview

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:
09/12/2014
Series:
Springer Monographs in Mathematics Series
Edition description:
Softcover reprint of hardcover 1st ed. 2001
Pages:
426
Product dimensions:
6.14(w) x 9.21(h) x 0.91(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 Lsub1 (Even Lsubp) HCS Spaces
• SL_n(C)

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