抽象调和分析 第2卷 影印本PDF电子书下载

Chapter Seven:Representations and duality of compact groups 1

Section 27．Unitary representations of compact groups 1

Section 28．More about representations of compact groups 60

Section 29．Miscellaneous facts about representations 115

Section 30．The TANNAKA-KREǐN duality theorem 156

Chapter Eight:Fourier transforms 209

Section 31．？2 and？p transforms 209

Section 32．Positive-definite functions and factorization theorems 253

Section 33．BOCHNER's theorem 291

Chapter Nine:Analysis on compact groups 328

Section 34．Absolutely convergent Fourier series on compact groups 328

Section 35．Multipliers over compact groups 367

Section 36．More on multipliers over compact groups 390

Section 37．Lacunarity for compact groups 415

Section 38．Ideal theory for certain convolution algebras on compact groups 449

Chapter Ten:Spectral synthesis 484

Section 39．Ideals in regular commutative Banach algebras 484

Section 40．Preliminaries on spectral sets 522

Section 41．Some special sets 552

Section 42．The failure of spectral synthesis in？1(G) 576

Chapter Eleven:Miscellany 606

Section 43．？p transforms and maximal functions 606

Section 44．Pointwise summability for Fourier transforms 631

Appendix D:Tensor products and yon Neumann norms 680

Appendix E:Miscellaneous facts from functional analysis 710

Addendum to Volume I 726

Bibliography 729

Index of symbols 752

Index of authors and terms 756