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Harmonic Functions on Groups and Fourier Algebras

This research monograph introduces some new aspects to the theory of harmonic functions and related topics. The authors study the analytic algebraic structures of the space of bounded harmonic functions on locally compact groups and its non-commutative analogue, the space of harmonic functionals on...

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Bibliographic Details
Main Authors: Chu, Cho-Ho, Lau, Anthony To-Ming (Author)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2002, 2002
Edition:1st ed. 2002
Series:Lecture Notes in Mathematics
Subjects:
Several Complex Variables And Analytic Spaces
Functional Analysis
Integral Equations
Functions Of Complex Variables
Harmonic Analysis
Topological Groups And Lie Groups
Lie Groups
Topological Groups
Potential Theory (mathematics)
Abstract Harmonic Analysis
Potential Theory
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 1. Introduction
  • 2. Harmonic functions on locally compact groups: 2.1. Preliminaries and notation. 2.2. Poisson representation of harmonic functions. 2.3. Semigroup structures of the Poisson space. 2.4. Almost periodic harmonic functions. 2.5. Distal harmonic functions. 2.6. Transitive group actions on Poisson spaces. 2.7. Examples
  • 3. Harmonic functionals on Fourier algebras: 3.1. Fourier algebras. 3.2. Harmonic functionals and associated ideals. 3.3. Jordan structures of harmonic functionals. 3.4. Classification of harmonic functionals
  • References
  • List of symbols
  • Index

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