Harmonic Functions on Groups and Fourier Algebras
1 edition
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Word Count
26,750 words, Guess
Page Count
107 pages
Physical Format
Paperback
Identifiers
- Open LibraryOL9057739M
- ISBN-139783540435952
- ISBN-103540435956
- OCLC Control Number51682295
- OCLC Control Number49531455
and 3 more
- Internet Archiveharmonicfunction00chuc
- Library of Congress Control Number2002021845
- Goodreads4558970
Classifications
- LCCQA3 .L28 no. 1782
- LCCQA405 .L28 no. 1782
- LCCQA405 .C46 2002
and 1 more
- LCCQA1-939
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.
First Sentence
Let G be a Lie group and let be the Laplace operator on G.
Subjects
Topics
Other Editions
- Harmonic Functions on Groups and Fourier Algebras
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