Harmonic analysis on homogeneous complex bounded domains and noncommutative geometry

P. Bieliavsky; A. De Goursac; F. Spinnler; V. Gayral

Journal Article

Harmonic analysis on homogeneous complex bounded domains and noncommutative geometry

Bieliavsky P
De Goursac A
Spinnler F
et al.

Developments in Mathematics (2014) 37 41-76

DOI: 10.1007/978-3-319-09934-7_2

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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.

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Exponential
Noncommutative manifolds
Representation
Strict deformation quantization
Symmetric spaces

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Bieliavsky, P., De Goursac, A., Spinnler, F., & Gayral, V. (2014). Harmonic analysis on homogeneous complex bounded domains and noncommutative geometry. Developments in Mathematics, 37, 41–76. https://doi.org/10.1007/978-3-319-09934-7_2

Harmonic analysis on homogeneous complex bounded domains and noncommutative geometry

Abstract

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