Lie Theory Harmonic Analysis on Symmetric Spaces—General Plancherel Theorems /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Anker, Jean-Philippe (Editor), Orsted, Bent (Editor)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Birkhäuser Boston, 2005.
• Series: Progress in Mathematics ; 230
• Subjects: Mathematics.; Group theory.; Topological groups.; Lie groups.; Harmonic analysis.; Functions of complex variables.; Differential geometry.; Topological Groups, Lie Groups.; Abstract Harmonic Analysis.; Differential Geometry.; Several Complex Variables and Analytic Spaces.; Group Theory and Generalizations.

Semisimple Lie groups, and their algebraic analogues over fields other than the reals, are of fundamental importance in geometry, analysis, and mathematical physics. Three independent, self-contained volumes, under the general title Lie Theory, feature survey work and original results by well-establ...

Table of Contents:

• The Plancherel Theorem for a Reductive Symmetric Space
• The Paley—Wiener Theorem for a Reductive Symmetric Space
• The Plancherel Formula on Reductive Symmetric Spaces from the Point of View of the Schwartz Space.