Integral operators in the theory of induced Banach representations

Integral operators in the theory of induced Banach representations / Irwin E. Schochetman.

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Bibliographic Details
Main Author: Schochetman, Irwin E., 1939- (Author)
Format: eBook
Language:English
Published: Providence : American Mathematical Society, [1978]
Series:Memoirs of the American Mathematical Society ; no. 207.
Subjects:
Locally compact groups.
Representations of groups.
Integral operators.
Integral operators
Locally compact groups
Representations of groups
Online Access:Click for online access
Table of Contents:
  • TABLE OF CONTENTS
  • 0. INTRODUCTION
  • I. PRELIMINARIES
  • 1. INDUCED BANACH REPRESENTATIONS
  • 2. THE INTEGRATED FORM
  • II. EQUIVALENT INDUCED REPRESENTATIONS
  • 3. FIRST EQUIVALENCE
  • 4. SECOND EQUIVALENCE
  • III. ADMISSIBLE FUNCTION SPACES
  • 5. MOTIVATION
  • 6. TRANSLATION INVARIENCE AND TOPOLOGY
  • 7. ADMISSIBLE SPACES AND CLOSED SUBGROUPS
  • IV. COMPACTNESS FOR INDUCED REPRESENTATIONS
  • 8. KERNEL COMPARISONS
  • 9. COMPACT REPRESENTATIONS
  • 10. HILBERT-SCHMIDT REPRESENTATIONS
  • 11. TRACE-CLASS REPRESENTATIONS
  • REFERENCES.

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