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math.QA2013★ 1 cited
Non-formal deformation quantization and star-exponential of the Poincare Group
Pierre Bieliavsky, Axel de Goursac, Florian Spinnler
We recall the construction of non-formal deformation quantization of the Poincare Group ISO(1,1) on its coadjoint orbit and exhibit the associated non-formal star-exponentials.
math.FA2013★ 18 cited
Harmonic analysis on homogeneous complex bounded domains and noncommutative geometry
Pierre Bieliavsky, Victor Gayral, Axel de Goursac +1
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…