Integral Operators in the Theory of Induced Banach Representations.
- 1st ed.
- 1 online resource (65 pages)
- Memoirs of the American Mathematical Society ; v.16 .
- Memoirs of the American Mathematical Society .
Intro -- 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.
9781470403546
Locally compact groups. Representations of groups. Integral operators.