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Integration I : Chapters 1-6 / 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 | XVI, 472 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 | Inequalities of convexity -- Historical Note -- Riesz spaces -- Measures on locally compact spaces -- Extension of a measure. LP spaces -- Integration of measures -- Historical Note -- Vectorial integration -- Historical Note Intégration 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 present volume comprises Chapters 1-6 in English translation (a second volume will contain the remaining Chapters 7-9). The individual fascicles of the original French edition have been extensively reviewed. 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 Chs. 1-5. The English edition has given the author the opportunity tocorrect misprints, update references, clarify the concordance 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/10.1007/978-3-642-59312-3 |
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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 | 9783642593123 |
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EB00237726 |
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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 | 4000110058 |
ISBN | 9783642593123 |
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