TY - BOOK AU - Schochetman,Irwin E. TI - Integral Operators in the Theory of Induced Banach Representations T2 - Memoirs of the American Mathematical Society SN - 9781470403546 AV - QA387 -- .S36 1978eb U1 - 510/.8 s;512/.53 PY - 1978/// CY - Providence PB - American Mathematical Society KW - Locally compact groups KW - Representations of groups KW - Integral operators KW - Electronic books N1 - 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 UR - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113453 ER -