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Bourbaki

Integration II

Chapters 7–9
1st ed. 2004, Corr. 2nd printing 2017. Buch. vii, 326 S.: Bibliographien. Hardcover
Springer ISBN 978-3-540-20585-2
Format (B x L): 15,5 x 23,5 cm
Gewicht: 1440 g
In englischer Sprache
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 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).

Audience

Research

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Von: link iconN. Bourbaki. Übersetzt von: link iconSterling K. Berberian