Elements of Mathematics: Integration II
Chapters 7-9
(Sprache: Englisch)
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...
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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).
Inhaltsverzeichnis zu „Elements of Mathematics: Integration II “
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.
Bibliographische Angaben
- Autor: N. Bourbaki
- 2017, 1st ed. 2004, Corr. 2nd printing 2017., 326 Seiten, Maße: 16 x 24,1 cm, Gebunden, Englisch
- Übersetzung:Berberian, Sterling K.
- Übersetzer: Sterling K. Berberian
- Verlag: Springer
- ISBN-10: 3540205853
- ISBN-13: 9783540205852
- Erscheinungsdatum: 16.02.2017
Sprache:
Englisch
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