抽象調和分析：英文(第2卷)

抽象調和分析：英文(第2卷)
定價：774 元
NT $ 581
 

內容簡介

是Springer專著系列之一，分為上下兩卷，這是第二卷，內容上是第一卷的延續。這是一部研究抽象調和分析的專著，目前還沒有一本可以與之媲美的著作，超乎想象地完整和綜合，詳細地介紹了緊和局部緊阿貝爾群調和分析這一重要成果。為了使問題處理地更加完美，書中提供了一個多方面的展望，並引出更多現代進展，也很仔細地講述了這門學科的發展歷史和一個擴充參看文獻。在很長一段時間內在該學科的引領作用仍然不會改變。
 

目錄

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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