Measure and integration theory on infinite-dimensional spaces: Abstract harmonic analysis

✍ Scribed by Xia Dao-Xing

• Publisher: Academic Press, Elsevier
• Year: 1972
• Leaves: 430
• Series: Pure and Applied Mathematics 48
• Category: Library

✦ Table of Contents

Content:
Editorial Page
Page iii

Copyright Page
Page v

Foreword
Page vii
Elmer J. Brody

Preface
Pages ix-x
Xia Dao-xing

Chapter I Some Supplementary Background in Measure Theory
Pages 1-48

Chapter II Representation of Positive Functionals and Operator Rings
Pages 49-102

Chapter III Harmonic Analysis on Groups with Quasi-Invariant Measures
Pages 103-212

Chapter IV Quasi-Invariant Measures and Harmonic Analysis on Linear Topological Spaces
Pages 213-279

Chapter V Gaussian Measures
Pages 280-334

Chapter VI Representation of Commutation Relations in Bose-Einstein Fields
Pages 335-380

Appendix I Background Material on Topological Groups and Linear Topological Spaces
Pages 381-393

Appendix II Background Material on Functional Analysis in Hilbert Spaces
Pages 394-412

Notes and References to the Literature
Pages 413-416

Bibliography
Pages 417-420

Index
Pages 421-425