Author | Larsen, Ronald. author |
---|---|
Title | An Introduction to the Theory of Multipliers [electronic resource] / by Ronald Larsen |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1971 |
Connect to | http://dx.doi.org/10.1007/978-3-642-65030-7 |
Descript | XXII, 284 p. online resource |
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