An Introduction to the Theory of Multipliers
When I first considered writing a book about multipliers, it was my intention to produce a moderate sized monograph which covered the theory as a whole and which would be accessible and readable to anyone with a basic knowledge of functional and harmonic analysis. I soon realized, however, that such...
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Corporate Author:  
Format:  eBook 
Language:  English 
Published: 
Berlin, Heidelberg
Springer Berlin Heidelberg
1971, 1971

Edition:  1st ed. 1971 
Series:  Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics

Subjects:  
Online Access:  
Collection:  Springer Book Archives 2004  Collection details see MPG.ReNa 
Table of Contents:
 0. Prologue: The Multipliers for L1(G)
 0.0. Introduction
 0.1. Multipliers for L1(G)
 0.2. Notation
 0.3. Notes
 1. The General Theory of Multipliers
 1.0. Introduction
 1.1. Elementary Theory of Multipliers
 1.2. Characterizations of Multipliers
 1.3. An Application: Multiplications which Preserve the Regular Maximal Ideals
 1.4. Maximal Ideal Spaces
 1.5. Integral Representations of Multipliers
 1.6. Isometric Multipliers
 1.7. Multipliers and Dual Spaces
 1.8. The Derived Algebra
 1.9. The Derived Algebra for Lp(G), 1? p M(Lp(G), Lq(G)), l?p, q??
 5.5. Some Results Concerning Lp(G) and M(Lp(G), Lq(G))
 5.6. M(Lp(G), Lq(G)) as a Dual Space, 1?p, q??
 5.7. Multipliers with Small Support
 5.8. Notes
 6. The Multipliers for Functions with Fourier Transforms in Lp (?)
 6.0. Introduction
 6.1. The Banach Algebras Ap(G)
 6.2. The Multipliers for Ap(G) as Pseudomeasures
 6.3. The Multipliers for Ap(G): G Noncompact
 6.4. The Multipliers for Ap(G): G Compact
 6.5. Notes
 7. The Multipliers for the Pair (Hp(G), Hq (G)), 1?p, q??
 7.0. Introduction
 7.1. General Properties of M(Hp(G), Hq (G)), 1?p, q??
 7.2. The Multipliers for the Pair (Hp(G), Hq (G)), 1?q?2?p??
 7.3. The Multipliers for the Pair (Hp(G), H?(G)), 1?p??
 7.4. Notes
 Appendices
 Appendix A: Topology
 Appendix B: Topological Groups
 Appendix C: Measure and Integration
 Appendix D: Functional Analysis
 Appendix E: Banach Algebras
 Appendix F: Harmonic Analysis
 Author and Subject Index