Harmonic Functions on Groups and Fourier Algebras

Harmonic Functions on Groups and Fourier Algebras
Author :
Publisher : Springer
Total Pages : 113
Release :
ISBN-10 : 9783540477938
ISBN-13 : 3540477934
Rating : 4/5 (38 Downloads)

Book Synopsis Harmonic Functions on Groups and Fourier Algebras by : Cho-Ho Chu

Download or read book Harmonic Functions on Groups and Fourier Algebras written by Cho-Ho Chu and published by Springer. This book was released on 2004-10-11 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Harmonic Functions on Groups and Fourier Algebras Related Books

Harmonic Functions on Groups and Fourier Algebras
Language: en
Pages: 113
Authors: Cho-Ho Chu
Categories: Mathematics
Type: BOOK - Published: 2004-10-11 - Publisher: Springer

DOWNLOAD EBOOK

This research monograph introduces some new aspects to the theory of harmonic functions and related topics. The authors study the analytic algebraic structures
Fourier and Fourier-Stieltjes Algebras on Locally Compact Groups
Language: en
Pages: 321
Authors: Eberhard Kaniuth
Categories: Mathematics
Type: BOOK - Published: 2018-07-05 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

The theory of the Fourier algebra lies at the crossroads of several areas of analysis. Its roots are in locally compact groups and group representations, but it
Harmonic Functions on Groups and Fourier Algebras
Language: en
Pages: 116
Authors: Cho-Ho Chu
Categories:
Type: BOOK - Published: 2014-01-15 - Publisher:

DOWNLOAD EBOOK

Fourier Analysis on Finite Abelian Groups
Language: en
Pages: 167
Authors: Bao Luong
Categories: Mathematics
Type: BOOK - Published: 2009-08-14 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

This unified, self-contained book examines the mathematical tools used for decomposing and analyzing functions, specifically, the application of the [discrete]
Harmonic Analysis on the Heisenberg Group
Language: en
Pages: 204
Authors: Sundaram Thangavelu
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

The Heisenberg group plays an important role in several branches of mathematics, such as representation theory, partial differential equations, number theory, s