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This research monograph introduces some new aspects to the theory of harmonic functions and related topics. The authors study the analytic algebraic structures of the space of bounded harmonic functions on locally compact groups and its non-commutative analogue, the space of harmonic functionals on Fourier algebras. Both spaces are shown to be the range of a contractive projection on a von Neumann algebra and therefore admit Jordan algebraic structures. This provides a natural setting to apply recent results from non-associative analysis, semigroups and Fourier algebras. Topics discussed include Poisson representations, Poisson spaces, quotients of Fourier algebras and the Murray-von Neumann classification of harmonic functionals.
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Contenuti
1. Introduction.- 2. Harmonic functions on locally compact groups: 2.1. Preliminaries and notation. 2.2. Poisson representation of harmonic functions. 2.3. Semigroup structures of the Poisson space. 2.4. Almost periodic harmonic functions. 2.5. Distal harmonic functions. 2.6. Transitive group actions on Poisson spaces. 2.7. Examples.- 3. Harmonic functionals on Fourier algebras: 3.1. Fourier algebras. 3.2. Harmonic functionals and associated ideals. 3.3. Jordan structures of harmonic functionals. 3.4. Classification of harmonic functionals.- References.- List of symbols.- Index.
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Harmonic functions on groups and Fourier algebras. Lecture notes in mathematics; Bd. 1782.
Da: Antiquariat Bookfarm, Löbnitz, Germania
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Softcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-03139 9783540435952 Sprache: Englisch Gewicht in Gramm: 550. Codice articolo 2489038
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Harmonic Functions on Groups and Fourier Algebras
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Springer Berlin Heidelberg, 2002
ISBN 10: 3540435956
ISBN 13: 9783540435952
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Condizione: Sehr gut. Zustand: Sehr gut | Seiten: 112 | Sprache: Englisch | Produktart: Bücher. Codice articolo 1008710/202
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Harmonic Functions On Groups And Fourier Algebras
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Condizione: Brand New. New. US edition. Expediting shipping for all USA and Europe orders excluding PO Box. Excellent Customer Service. Codice articolo ABEJUNE24-267447
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Harmonic Functions on Groups and Fourier Algebras
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Springer Berlin Heidelberg, 2002
ISBN 10: 3540435956
ISBN 13: 9783540435952
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Kartoniert / Broschiert. Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Includes supplementary material: sn.pub/extrasThis research monograph introduces some new aspects to the theory of harmonic functions and related topics. The authors study the analytic algebraic structures of the space of bounded harmonic functio. Codice articolo 4890533
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Harmonic Functions on Groups and Fourier Algebras
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Springer Berlin Heidelberg Mai 2002, 2002
ISBN 10: 3540435956
ISBN 13: 9783540435952
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Da: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germania
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This research monograph introduces some new aspects to the theory of harmonic functions and related topics. The authors study the analytic algebraic structures of the space of boundedharmonic functions on locally compact groups and its non-commutative analogue, the space of harmonic functionals on Fourier algebras. Both spaces are shown to be the range of a contractive projection on a von Neumann algebra and therefore admit Jordan algebraic structures. This provides a natural setting to apply recent results from non-associative analysis, semigroups and Fourier algebras. Topics discussed include Poisson representations, Poisson spaces, quotients of Fourier algebras and the Murray-von Neumann classification of harmonic functionals. 112 pp. Englisch. Codice articolo 9783540435952
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Harmonic Functions on Groups and Fourier Algebras (Lecture Notes in Mathematics, 1782)
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Harmonic Functions on Groups and Fourier Algebras
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Springer Berlin Heidelberg, 2002
ISBN 10: 3540435956
ISBN 13: 9783540435952
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Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - This research monograph introduces some new aspects to the theory of harmonic functions and related topics. The authors study the analytic algebraic structures of the space of boundedharmonic functions on locally compact groups and its non-commutative analogue, the space of harmonic functionals on Fourier algebras. Both spaces are shown to be the range of a contractive projection on a von Neumann algebra and therefore admit Jordan algebraic structures. This provides a natural setting to apply recent results from non-associative analysis, semigroups and Fourier algebras. Topics discussed include Poisson representations, Poisson spaces, quotients of Fourier algebras and the Murray-von Neumann classification of harmonic functionals. Codice articolo 9783540435952
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Harmonic Functions on Groups and Fourier Algebras
ISBN 10: 3540435956
ISBN 13: 9783540435952
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Taschenbuch. Condizione: Neu. Neuware -This research monograph introduces some new aspects to the theory of harmonic functions and related topics. The authors study the analytic algebraic structures of the space of bounded harmonic functions on locally compact groups and its non-commutative analogue, the space of harmonic functionals on Fourier algebras. Both spaces are shown to be the range of a contractive projection on a von Neumann algebra and therefore admit Jordan algebraic structures. This provides a natural setting to apply recent results from non-associative analysis, semigroups and Fourier algebras. Topics discussed include Poisson representations, Poisson spaces, quotients of Fourier algebras and the Murray-von Neumann classification of harmonic functionals.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 112 pp. Englisch. Codice articolo 9783540435952
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Harmonic Functions on Groups and Fourier Algebras (Lecture Notes in Mathematics, 1782)
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Harmonic Functions on Groups and Fourier Algebras
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