Schochetman, Irwin E.

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.


Electronic books.

QA387 -- .S36 1978eb

510/.8 s;512/.53