Harmonic Analysis and Special Functions on Symmetric Spaces - Softcover

Heckman, Gerrit

Softcover

ISBN 10: 0123886228 ISBN 13: 9780123886224

Publisher: Academic Press, 2011

Synopsis

The two parts of this sharply focused book, Hypergeometric and Special Functions and Harmonic Analysis on Semisimple Symmetric Spaces, are derived from lecture notes for the European School of Group Theory, a forum providing high-level courses on recent developments in group theory. The authors provide students and researchers with a thorough and thoughtful overview, elaborating on the topic with clear statements of definitions and theorems and augmenting these withtime-saving examples. An extensive set of notes supplements the text. Heckman and Schlichtkrull extend the ideas of harmonic analysis on semisimple symmetric spaces to embrace the theory of hypergeometric and spherical functions and show that the K-variant Eisenstein integrals for G/H are hypergeometric functions under this theory. They lead readers from the fundamentals of semisimple symmetric spaces of G/H to the frontier, including generalization, to the Riemannian case. This volume will interest harmonic analysts, those working on or applying the theory of symmetric spaces; it will also appeal to those with an interest in special functions.

Edition details

• Publisher: Academic Press
• Publication date: 2011
• ISBN 10: 0123886228
• ISBN 13: 9780123886224
• Binding: Paperback
• Language: English
• Number of pages: 244