抽象调和分析 第2卷（英文影印本）
出版时间：2014年版
丛编项： 经典数学丛书
内容简介
This book is a continuation of Volume I of the same title [Grund-lehren der mathematischen Wissenschaften， Band 115]. We constantly cite definitions and results from Volume l.1 The textbook Real and abstract analysis by E. HEWITT and K. R. STROMBERG [Berlin . Gottingen . Heidelberg: Springer-Verlag 1965]， which appeared between the publication of the two volumes of this work， contains many standaro facts from analysis. We use this book as a convenient reference for such facts， and denote it in the text by RAAA. Most readers will have only occasional need actually to read in RAAA.
目录
Preface
Chapter Seven: Representations and duality of compact groups
Section 27. Unitary representations of compact groups
Section 28. More about representations of compact groups
Section 29. Miscellaneous facts about representations
Section 30. The TANNAK-KEIN duality theorem
Chapter Eight. Fourier transforms
Section 31. □ and □ transforms
Section 32. Positive-definite functions and factorization theorems
Section 33. BOCHNER'S theorem
Chapter Nine: Analysis on compact groups
Section 34. Absolutely convergent Fourier series on compact groups
Section 35. Multipliers over compact groups
Section 36. More on multipliers over compact groups
Section 37. Lacunar/ty for compact groups
Section 38. Ideal theory for certain convolution algebras on compact
groups
Chapter Ten: Spectral synthesis
Section 39. Ideals in regular commutative Banach algebras
Section 40. Preliminaries on spectral sets
Section 41. Some special sets
Section 42. The failure of spectral synthesis in □(G)
Chapter Eleven: Miscellany
Section 43. transforms and maximal functions
Section 44. Pointwise summability for Fourier transforms
Appendix D: Tensor products and yon Neumann norms
Appendix E: Miscellaneous facts from functional analysis
Addendum to Volume I
Bibliography
Index of symbols
Index of authors and terms