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Integration II : Chapters 7–9 / by N. Bourbaki
版 | 1st ed. 2004. |
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出版者 | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
出版年 | 2004 |
本文言語 | 英語 |
大きさ | VII, 326 p : online resource |
著者標目 | *Bourbaki, N author SpringerLink (Online service) |
件 名 | LCSH:Measure theory FREE:Measure and Integration |
一般注記 | Haar Measure: Construction of a Haar Measure. Quotient of a Space by a Group; Homogeneous Spaces. Applications and Examples -- Convolution and Representations: Convolution. Linear Representations of Groups. Convolution of Measures on Groups. Convolution of Measures and Functions. The Space of Closed Subgroups -- Measures on Hausdorff Topological Spaces: Premeasures and Measures on a Topological Space. Operations on Measures. Measures and Additive Set Functions. Inverse Limits of Measures. Measures on Completely Regular Space. Promeasures and Measures on a Locally Convex Space Integration is the sixth and last of the books that form the core of the Bourbaki series; it draws abundantly on the preceding five Books, especially General Topology and Topological Vector Spaces, making it a culmination of the core six. The power of the tool thus fashioned is strikingly displayed in Chapter II of the author's Théories Spectrales, an exposition, in a mere 38 pages, of abstract harmonic analysis and the structure of locally compact abelian groups. The first volume of the English translation comprises Chapters 1-6; the present volume completes the translation with the remaining Chapters 7-9. Chapters 1-5 received very substantial revisions in a second edition, including changes to some fundamental definitions. Chapters 6-8 are based on the first editions of Chapters 1-5. The English edition has given the author the opportunity to correct misprints, update references, clarify theconcordance of Chapter 6 with the second editions of Chapters 1-5, and revise the definition of a key concept in Chapter 6 (measurable equivalence relations) HTTP:URL=https://doi.org/10.1007/978-3-662-07931-7 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9783662079317 |
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EB00238777 |
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データ種別 | 電子ブック |
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分 類 | LCC:QA312-312.5 DC23:515.42 |
書誌ID | 4000110714 |
ISBN | 9783662079317 |
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