Synopsis
* 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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