Harmonic analysis on homogeneous complex bounded domains and noncommutative geometry

We define and study a noncommutative Fourier transform on every homogeneous complex bounded domain. We then give an application in noncommutative differential geometry by defining noncommutative Baumslag-Solitar tori.

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Bibliographic Details
Published in:arXiv.org 2014-02
Main Authors: Bieliavsky, Pierre, Gayral, Victor, de Goursac, Axel, Spinnler, Florian
Format: Article
Language:English
Subjects:
Differential geometry
Domains
Fourier analysis
Fourier transforms
Harmonic analysis
Toruses
Online Access:Get full text
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Description
Summary:We define and study a noncommutative Fourier transform on every homogeneous complex bounded domain. We then give an application in noncommutative differential geometry by defining noncommutative Baumslag-Solitar tori.
ISSN:2331-8422
DOI:10.48550/arxiv.1311.1871