| 书目名称 | Harmonic Functions on Groups and Fourier Algebras |
| 编辑 | Cho-Ho Chu,Anthony To-Ming Lau |
| 视频video | |
| 概述 | Includes supplementary material: |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | 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. |
| 出版日期 | Book 2002 |
| 关键词 | Fourier algebra; Harmonic function; Jordan algebra; Locally compact group; Natural; Semigroup; algebra; cla |
| 版次 | 1 |
| doi | https://doi.org/10.1007/b83280 |
| isbn_softcover | 978-3-540-43595-2 |
| isbn_ebook | 978-3-540-47793-8Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer-Verlag Berlin Heidelberg 2002 |
发表于 2025-3-21 19:26:33
