Integration II

Chapters 7-9
2004
ISBN: 978-3-540-20585-2
Verlag: Springer Berlin Heidelberg

Buch, Englisch, 326 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 1440 g

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 theconcordance 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).

Zielgruppe

Research

Autoren/Hrsg.

Bourbaki, N.

Weitere Mitwirkende

Berberian, Sterling K.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Integralrechnungen- und -gleichungen
• Mathematik | Informatik Mathematik Topologie Analytische Topologie

Inhaltsverzeichnis

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.