Integration  v. 1 ~ v. 2

Nicolas Bourbaki ; translated by Sterling K. Berberian

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).

「Nielsen BookData」より

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.

「Nielsen BookData」より

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.

「Nielsen BookData」より

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).

「Nielsen BookData」より

[目次]

  • Inequalities of Convexity.- Riesz Spaces.- Measures on Locally Compact Spaces.- Extension of a Measure. Lp Spaces.- Integration of Measures. Vectorial Integration.

「Nielsen BookData」より

[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.

「Nielsen BookData」より

[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.

「Nielsen BookData」より

[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.

「Nielsen BookData」より

この本の情報

書名 Integration
著作者等 Berberian, Sterling K.
Bourbaki, Nicolas
書名別名 Intégration
シリーズ名 Elements of mathematics
巻冊次 v. 1
v. 2
出版元 Springer
刊行年月 c2004-
版表示 Softcover reprint of hardcover 1st ed. 2004
ページ数 v.
大きさ 24 cm
ISBN 3540205853
3540411291
9783642058219
9783642639302
NCID BA64945397
※クリックでCiNii Booksを表示
言語 英語
原文言語 フランス語
出版国 ドイツ
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