Lecture Notes in Mathematics Harmonic Functions on Groups and Fourier Algebras, Book 1782, (Paperback)

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Management number 238312599 Release Date 2026/07/11 List Price US$18.70 Model Number 238312599
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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.

  • Lecture Notes in Mathematics Harmonic Functions on Groups and Fourier Algebras, Book 1782, (Paperback)
  • Author: Springer
  • ISBN: 9783540435952
  • Format: Paperback
  • Publication Date: 2002-05-27
  • Page Count: 100
Book format Paperback
Fiction/nonfiction Non-Fiction
Genre Textbooks
Publication date May, 2002
Pages 100
Subgenre Calculus
Series title Lecture Notes in Mathematics
Number in series 1782
Edition 2002 Edition
Publisher Springer
Original languages English
Language English
Edu focus Mathematics
Is collectible N
Recording time 0 min
Retail packaging Single Piece
Assembled product dimensions (l x w x h) 6.00 x 0.28 x 9.00 in
Assembled product weight 0.4 lb
Bisac subject heading Mathematics

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