Harmonic analysis on homogeneous complex bounded domains and noncommutative geometry
Functional Analysis
2016-01-28 v2 Mathematical Physics
math.MP
Quantum Algebra
Representation Theory
Abstract
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.
Keywords
Cite
@article{arxiv.1311.1871,
title = {Harmonic analysis on homogeneous complex bounded domains and noncommutative geometry},
author = {Pierre Bieliavsky and Victor Gayral and Axel de Goursac and Florian Spinnler},
journal= {arXiv preprint arXiv:1311.1871},
year = {2016}
}
Comments
27 pages