Measure and integration theory on infinite-dimensional spaces; abstract harmonic analysis

Measure and integration theory on infinite-dimensional spaces; abstract harmonic analysis

This volume is intended as an introduction to introducing abstract harmonic analysis, as it is related to the topic of integration on infinite-dimensional spaces. It moves from the representation of positive functionals and operator rings to abstract harmonic analysis on pseudo-invariant measure spa...

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Bibliographic Details
Main Author: Xia, Daoxing, 1930 October 20- (Author)
Other Authors: Brody, Elmer J. (Translator)
Format: Book
Language:English
Chinese
Published: New York, Academic Press, 1972.
Series:Pure and applied mathematics (Academic Press) ; 48.
Subjects:
Measure theory.
Integrals.
Generalized spaces.
Théorie de la mesure.
Intégrales.
Espaces généralisés.
Harmonische Analyse
Integrationstheorie
Maßtheorie
Unendlichdimensionaler Raum
Teoria Da Medida.
Generalized spaces
Integrals
Measure theory
Abstrakte Theorie.
Table of Contents:
  • Some supplementary background in measure theory
  • Representation of positive functionals and operator rings
  • Harmonic analysis on groups with quasi-invariant measures
  • Quasi-invariant measures and harmonic analysis on linear topological spaces
  • Gaussian measures
  • Representation of commutation relations in Bose-Einstein fields
  • Appendix I. Background material on topological groups and linear topological spaces
  • Appendix II. Background material on functional analysis in Hilbert spaces.

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