Integration
著者
書誌事項
Integration
（Elements of mathematics / Nicolas Bourbaki）
Springer, c2004-
- v. 1
- v. 2
- v. 1 : softcover
- v. 2 : softcover
- タイトル別名
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Intégration
大学図書館所蔵 件 / 全20件
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名古屋大学 理学 図書室理数理
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注記
Includes bibliographical references and index
1. Chapters 1-6 -- 2. Chapters 7-9
内容説明・目次
- 巻冊次
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v. 2 ISBN 9783540205852
内容説明
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 Theories 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 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).
目次
VII. - Haar measure.- VIII. - Convolution and representations.- IX. - Measures on Hausdorff topological spaces.- Index of notations.- Index of terminology.- Principal formulas of Chapter VII.- Conditions sufficient for the existence of the convolution product.
- 巻冊次
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v. 1 ISBN 9783540411291
内容説明
This is the sixth and last of the books that form the core of the Bourbaki series, comprising chapters 1-6 in English translation. One striking feature is its exposition of abstract harmonic analysis and the structure of locally compact Abelian groups. This English edition corrects misprints, updates references, and revises the definition of the concept of measurable equivalence relations.
目次
Inequalities of Convexity.- Riesz Spaces.- Measures on Locally Compact Spaces.- Extension of a Measure. Lp Spaces.- Integration of Measures. Vectorial Integration.
- 巻冊次
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v. 2 : softcover ISBN 9783642058219
内容説明
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 Theories 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 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).
目次
VII. - Haar measure.- VIII. - Convolution and representations.- IX. - Measures on Hausdorff topological spaces.- Index of notations.- Index of terminology.- Principal formulas of Chapter VII.- Conditions sufficient for the existence of the convolution product.
- 巻冊次
-
v. 1 : softcover ISBN 9783642639302
内容説明
This is the sixth and last of the books that form the core of the Bourbaki series, comprising chapters 1-6 in English translation. One striking feature is its exposition of abstract harmonic analysis and the structure of locally compact Abelian groups. This English edition corrects misprints, updates references, and revises the definition of the concept of measurable equivalence relations.
目次
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.
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