18 citations · 19 across the 2 of their papers we have counts for
3 papers
Non-formal star-exponential on contracted one-sheeted hyperboloids
Pierre Bieliavsky, Axel de Goursac, Yoshiaki Maeda +1
In this paper, we exhibit the non-formal star-exponential of the Lie group SL(2,R) realized geometrically on the curvature contraction of its one-sheeted hyperboloid orbits endowed…
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.
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…