49 citations · 92 across the 40 of their papers we have counts for
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Analysis of generalized probability distributions associated with higher Landau levels
Nizar Demni, Zouhair Mouayn
To a higher Landau Level corresponds a generalization of the Poisson distribution arising from generalized coherent states. In this paper, we write down the atomic decomposition of…
A Family of Circular Bargmann Transforms
Zouhair Mouayn
When considering a charged particle evolving in the Poincaré disk under influence of a uniform magnetic field with a strength proportional to +1, we construct for all hyperbolic La…
An index 2F2 hypergeometric transform
Zouhair Mouayn
We construct a new one-parameter family of index hypergeometric transforms associated with the relativistic pseudoharmonic oscillator by using coherent states analysis.
An integral representation for Folland's fundamental solution of the sub-Laplacian on Heisenberg groups
Allal Ghanmi, Zouhaïr Mouayn
We prove that the Folland's fundamental solution for the sub-Laplacian on Heisenberg groups can also be derived form the resolvent kernel of this sub-Laplacian. This provides us wi…
Generalized second Bargmann transforms associated with the hyperbolic Landau levels on the Poincaré disk
Fouzia ElWassouli, Allal Ghanmi, Ahmed Intissar +1
We deal with a family of generalized coherent states associated to the hyperbolic Landau levels of the Schrödinger operator with uniform magnetic field on the Poincaré disk. Their…
A Formula representing magnetic Berezin transforms on the Bergman ball of $\C^n$ as functions of the Laplace-Beltrami operator
Allal Ghanmi, Zouhair Mouayn
We give a formula that represents magnetic Berezin transforms associated with generalized Bergman spaces as functions of the Laplace-Beltrami operator on the Bergman ball. In parti…