Spherical inversion on SL[n](R)

Bibliographic Information

Spherical inversion on SL[n](R)

Jay Jorgenson, Serge Lang

(Springer monographs in mathematics)

Springer, c2001

Available at  / 38 libraries

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Note

On t.p. "[n]" is subscript

Includes bibliographical references (p. 411-417) and index

Description and Table of Contents

Description

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.

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)

by "Nielsen BookData"

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