An introduction to abstract harmonic analysis / Lynn H. Loomis

Auteur: Loomis, Lynn Harold (1915-1994) - AuteurType de document: Monographie Collection: The university series in higher mathematics Langue: anglaisPays: Etats UnisÉditeur: Princeton : Van Nostrand, 1953Description: 1 vol. (X-190 p.) ; 24 cm ISBN: s.n. ; rel. Note: "The book is an outcome of a course given at Harvard first by G. W. Mackey and later by the author''. It gives a self-contained exposition of Gelfand's theory of (commutative) Banach algebras and its application to harmonic analysis on locally compact abelian groups. No special pre-requisites are assumed in the readers other than elementary modern algebra and Liouville's theorem from the theory of analytic functions. The contents are as follows. I: Topology. II: Banach spaces. III: Integration. IV: Banach algebras. V: Some special Banach algebras. VI: The Haar integral. VII: Locally compact abelian groups. VIII: Compact groups and almost periodic functions. IX: Some further developments... (MathSciNet)Bibliographie: Bibliogr. p. 185-187. Index. Sujets MSC: 43-01 Abstract harmonic analysis -- Instructional exposition (textbooks, tutorial papers, etc.) En-ligne: archive.org | MathSciNet
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"The book is an outcome of a course given at Harvard first by G. W. Mackey and later by the author''. It gives a self-contained exposition of Gelfand's theory of (commutative) Banach algebras and its application to harmonic analysis on locally compact abelian groups. No special pre-requisites are assumed in the readers other than elementary modern algebra and Liouville's theorem from the theory of analytic functions. The contents are as follows. I: Topology. II: Banach spaces. III: Integration. IV: Banach algebras. V: Some special Banach algebras. VI: The Haar integral. VII: Locally compact abelian groups. VIII: Compact groups and almost periodic functions. IX: Some further developments... (MathSciNet)

Bibliogr. p. 185-187. Index

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