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- catalog abstract "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.".
- catalog contributor b12560755.
- catalog contributor b12560756.
- catalog created "c2002.".
- catalog date "2002".
- catalog date "c2002.".
- catalog dateCopyrighted "c2002.".
- catalog description "Harmonic functions on locally compact groups -- Preliminaries and notation -- Poisson representation of harmonic functions -- Semigroup structures of the Poisson space -- Almost periodic harmonic functions -- Distal harmonic functions -- Transitive group actions on Poisson spaces -- Examples -- Harmonic functionals on Fourier algebras -- Fourier algebras -- Harmonic functionals and associated ideals -- Jordan structures of harmonic functionals -- Classification of harmonic functionals.".
- catalog description "Includes bibliographical references (p. [90]-97) and index.".
- catalog description "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.".
- catalog extent "100 p. ;".
- catalog hasFormat "Also available in an electronic version.".
- catalog identifier "3540435956 (acid-free paper)".
- catalog isFormatOf "Also available in an electronic version.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1782.".
- catalog isPartOf "Lecture notes in mathematics, 0075-8434 ; 1782".
- catalog issued "2002".
- catalog issued "c2002.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer,".
- catalog relation "Also available in an electronic version.".
- catalog subject "510 s 515/.53 21".
- catalog subject "Banach algebras.".
- catalog subject "Differential equations, partial.".
- catalog subject "Functional analysis.".
- catalog subject "Harmonic analysis.".
- catalog subject "Harmonic functions.".
- catalog subject "Integral equations.".
- catalog subject "Locally compact groups.".
- catalog subject "Mathematics.".
- catalog subject "Potential theory (Mathematics).".
- catalog subject "QA3 .L28 no. 1782 QA405".
- catalog subject "Topological Groups.".
- catalog tableOfContents "Harmonic functions on locally compact groups -- Preliminaries and notation -- Poisson representation of harmonic functions -- Semigroup structures of the Poisson space -- Almost periodic harmonic functions -- Distal harmonic functions -- Transitive group actions on Poisson spaces -- Examples -- Harmonic functionals on Fourier algebras -- Fourier algebras -- Harmonic functionals and associated ideals -- Jordan structures of harmonic functionals -- Classification of harmonic functionals.".
- catalog title "Harmonic functions on groups and Fourier algebras / Cho-Ho Chu, Anthony To-Ming Lau.".
- catalog type "Computer network resources. local".
- catalog type "Electronic books. lcsh".
- catalog type "text".