Integration II: Chapters 7-9 by N. BourbakiIntegration II: Chapters 7-9 by N. Bourbaki

Integration II: Chapters 7-9

byN. BourbakiEditorSterling K. Berberian

Hardcover | January 29, 2007

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Integrationis 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 Topologyand 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 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).

Title:Integration II: Chapters 7-9Format:HardcoverDimensions:326 pagesPublished:January 29, 2007Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3540205853

ISBN - 13:9783540205852


Table of Contents

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.

Editorial Reviews

From the reviews:

"This volume of the new English edition of the famous series of monographs contains chapters . which are devoted to integration theory. . It contains the basic theory on locally compact groups, an abstract theory, applications and examples. . Due to an abstract, general and exact exposition, the textbook may also be of interest for specialists in the topic." (EMS Newsletter, June, 2006)