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Harmonic Functions on Groups and Fourier Algebras (Lecture Notes in Mathematics, 1782, Band 1782) - Softcover

Lau, Anthony To-Ming; Chu, Cho-Ho

 
9783540435952: Harmonic Functions on Groups and Fourier Algebras (Lecture Notes in Mathematics, 1782, Band 1782)
Softcover
ISBN 10: 3540435956 ISBN 13: 9783540435952
Verlag: Springer, 2008

Inhaltsangabe

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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Verlag
Springer
Erscheinungsdatum
2008
Sprache
Englisch
ISBN 10 
3540435956
ISBN 13 
9783540435952
Einband
Taschenbuch
Anzahl der Seiten
116
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