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Item Details
| Title:
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HARMONIC FUNCTIONS ON GROUPS AND FOURIER ALGEBRAS
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| By: |
Cho-Ho Chu, Anthony To-Ming Lau |
| Format: |
Paperback |
| List price:
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£31.99 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
3540435956 |
| ISBN 13: |
9783540435952 |
| Publisher: |
SPRINGER-VERLAG BERLIN AND HEIDELBERG GMBH & CO. KG |
| Pub. date: |
27 May, 2002 |
| Edition: |
2002 ed. |
| Series: |
Lecture Notes in Mathematics 1782 |
| Pages: |
100 |
| Description: |
This research text introduces new aspects to the theory of harmonic functions and related topics, studying 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. |
| Synopsis: |
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. |
| Illustrations: |
VII, 100 p. |
| Publication: |
Germany |
| Imprint: |
Springer-Verlag Berlin and Heidelberg GmbH & Co. K |
| Returns: |
Returnable |
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