Harmonic Functions on Groups and Fourier Algebras

Chu, Cho-Ho

ISBN 10: 3540435956 / ISBN 13: 9783540435952

Verlag: Springer 2002-05, 2002

Beschreibung

Bestandsnummer des Verkäufers 6666-IUK-9783540435952

Bibliografische Details

• Titel: Harmonic Functions on Groups and Fourier Algebras
• Verlag: Springer 2002-05
• Erscheinungsjahr: 2002
• Sprache: Englisch
• ISBN-10: 3540435956
• ISBN-13: 9783540435952
• Einband: PF
• Zustand: New

Über diesen Titel

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.