Harmonic analysis on homogeneous complex bounded domains and noncommutative geometry

Axel de Goursac; Florian Spinnler; Pierre Bieliavsky; Victor Gayral

arxiv: 1311.1871 · v2 · pith:NS2YEXOPnew · submitted 2013-11-08 · 🧮 math.FA · math-ph· math.MP· math.QA· math.RT

Harmonic analysis on homogeneous complex bounded domains and noncommutative geometry

Pierre Bieliavsky , Victor Gayral , Axel de Goursac , Florian Spinnler This is my paper

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keywords noncommutativeboundedcomplexgeometryhomogeneousanalysisapplicationbaumslag-solitar

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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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Harmonic analysis on homogeneous complex bounded domains and noncommutative geometry

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