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Harmonic Analysis of Spherical Functions on Real Reductive Groups /

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The purpose of this book is to give a thorough treatment of the harmonic analysis of spherical functions on symmetric spaces. The theory was originally created by Harish-Chandra in the late 1950's and important additional contributions were made by many others in the succeeding years. The book...

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Bibliographic Details
Main Author: Gangolli, Ramesh
Corporate Author: SpringerLink (Online service)
Other Authors: Varadarajan, V. S.
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 1988.
Series:Ergebnisse der Mathematik und ihrer Grenzgebiete, A Series of Modern Surveys in Mathematics ; 101.
Subjects:
Mathematics.
Topological groups.
Differential equations, Partial.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • The Concept of a Spherical Function
  • Structure of Semisimple Lie Groups and Differential Operators on Them
  • The Elementary Spherical Functions
  • The Harish-Chandra Series for and the c-Function
  • Asymptotic Behaviour of Elementary Spherical Functions
  • The L2-Theory. The Harish-Chandra Transform on the Schwartz Space of G//K
  • LP-Theory of Harish-Chandra Transform. Fourier Analysis on the Spaces CP(G//K)
  • Bibliography
  • Subject Index.