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出版社:世界圖書出版公司
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ISBN:9787510070341
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作者:(美)休伊特
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頁數:771
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出版日期:2014-03-01
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印刷日期:2014-03-01
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包裝:平裝
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開本:24開
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版次:1
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印次:1
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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. 《抽像調和分析(第2卷)(英文版)》由休伊特編著,供讀者閱讀參考。
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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
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