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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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
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creator Bieliavsky, Pierre
Gayral, Victor
de Goursac, Axel
Spinnler, Florian
description 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.
doi_str_mv 10.48550/arxiv.1311.1871
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subjects Differential geometry
Domains
Fourier analysis
Fourier transforms
Harmonic analysis
Toruses
title Harmonic analysis on homogeneous complex bounded domains and noncommutative geometry
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