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Synopsis
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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Harmonic Functions on Groups and Fourier Algebras
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Harmonic Functions on Groups and Fourier Algebras (Paperback)
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Paperback. Condition: new. Paperback. 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 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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Harmonic functions on groups and Fourier algebras. Lecture notes in mathematics; Bd. 1782.
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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 (Lecture Notes in Mathematics, 1782)
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Lecture Notes in Mathematics: Harmonic Functions on Groups and Fourier Algebras (Volume 1782)
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Harmonic Functions on Groups and Fourier Algebras
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Harmonic Functions on Groups and Fourier Algebras (Lecture Notes in Mathematics, 1782)
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