UID:
almahu_9947363285002882
Format:
VII, 326 p.
,
online resource.
ISBN:
9783662079317
Content:
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).
Note:
Haar Measure: Construction of a Haar Measure. Quotient of a Space by a Group; Homogeneous Spaces. Applications and Examples -- Convolution and Representations: Convolution. Linear Representations of Groups. Convolution of Measures on Groups. Convolution of Measures and Functions. The Space of Closed Subgroups -- Measures on Hausdorff Topological Spaces: Premeasures and Measures on a Topological Space. Operations on Measures. Measures and Additive Set Functions. Inverse Limits of Measures. Measures on Completely Regular Space. Promeasures and Measures on a Locally Convex Space.
In:
Springer eBooks
Additional Edition:
Printed edition: ISBN 9783642058219
Language:
English
DOI:
10.1007/978-3-662-07931-7
URL:
http://dx.doi.org/10.1007/978-3-662-07931-7
URL:
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