Harmonic Functions on Groups and Fourier Algebras
Cho-Ho Chu, Anthony To-Ming Lau (auth.)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.
Kategorije:
Godina:
2002
Izdanje:
1
Izdavač:
Springer-Verlag Berlin Heidelberg
Jezik:
english
Strane:
100
ISBN 10:
3540435956
ISBN 13:
9783540435952
Serije:
Lecture Notes in Mathematics 1782
Fajl:
PDF, 552 KB
IPFS:
,
english, 2002
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