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. INDICE: * 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)
- ISBN: 978-1-4419-2883-2
- Editorial: Springer
- Encuadernacion: Rústica
- Fecha Publicación: 31/03/2012
- Nº Volúmenes: 1
- Idioma: Inglés
- Inicio /
- MATEMÁTICAS /
- ÁLGEBRA