抽象调和分析-第2卷-教辅教材-文化科教-太极之巅书单号

书刊介绍

抽象调和分析-第2卷内容简介

本书是Springer专著系列之一，分为上下两卷，这是第二卷，内容上是**卷的延续。这是一部研究抽象调和分析的专著，目前还没有一本可以与之媲美的著作，超乎想象地完整和综合，详细地介绍了紧和局部紧阿贝尔群调和分析这一重要成果。为了使问题处理地更加完美，书中提供了一个多方面的展望，并引出更多现代进展，也很仔细地讲述了这门学科的发展历史和一个扩充参看文献。在很长一段时间内本书在该学科的引领作用仍然不会改变。

抽象调和分析-第2卷本书特色

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-Verlag1965]， 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.

抽象调和分析-第2卷目录

PrefaceChapter 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 theoremChapter Eight. Fourier transforms Section 31. □ and □ transforms Section 32. Positive-definite functions and factorization theorems Section 33. BOCHNER'S theoremChapter 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 groupsChapter 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 functionsSection 44. Pointwise summability for Fourier transformsAppendix D: Tensor products and yon Neumann normsAppendix E: Miscellaneous facts from functional analysisAddendum to Volume IBibliographyIndex of symbolsIndex of authors and terms