Analyse harmonique: séminaire de Villetaneuse / B. Host, J.-F. Méla, F. Parreau

Auteur: Host, Bernard - AuteurCo-auteur: Parreau, François - Auteur ; Méla, Jean-François (1939-) - AuteurType de document: SéminaireCollection: Astérisque ; 135-136Langue: françaisPays: FranceÉditeur: Paris : Société Mathématique de France, 1986Description: 1 vol. (261 p.) ; 24 cmNote: In the book in hand important progresses of Fourier analysis of singular measures are presented. The techniques rest upon properties of L-spaces and semi-topological semigroups. The study uses also idempotent elements, properties at infinity of Fourier-Stieltjes transforms, Gelfand theory, and many concrete investigations with Riesz products. In the theorems many new informations are given on representing measures by simpler ones, on spectra of measures, on group topologies, on L- ideals, on the behaviour of Fourier-Stieltjes transforms at infinity, and on Riesz products. (Zentralblatt)Bibliographie: Bibliogr. en fin de chapitres. Sujets MSC: 43-02 Abstract harmonic analysis -- Research exposition (monographs, survey articles)
43A10 Abstract harmonic analysis -- Abstract harmonic analysis -- Measure algebras on groups, semigroups, etc
43A25 Abstract harmonic analysis -- Abstract harmonic analysis -- Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups
43A05 Abstract harmonic analysis -- Abstract harmonic analysis -- Measures on groups and semigroups, etc
22A30 Topological groups, Lie groups -- Topological and differentiable algebraic systems -- Other topological algebraic systems and their representations
Location Call Number Status Date Due
Couloir 09654-01 / Séries SMF 135/136 (Browse Shelf) Available

In the book in hand important progresses of Fourier analysis of singular measures are presented. The techniques rest upon properties of L-spaces and semi-topological semigroups. The study uses also idempotent elements, properties at infinity of Fourier-Stieltjes transforms, Gelfand theory, and many concrete investigations with Riesz products. In the theorems many new informations are given on representing measures by simpler ones, on spectra of measures, on group topologies, on L- ideals, on the behaviour of Fourier-Stieltjes transforms at infinity, and on Riesz products. (Zentralblatt)

Bibliogr. en fin de chapitres

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