73 citations · 176 across the 40 of their papers we have counts for
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A lifting theorem for planar mixed automorphic functions and applications
Aymane El Fardi, Allal Ghanmi, Lahcen Imlal
We deal with the concrete spectral analysis of an invariant magnetic Schrödinger operator acting on one dimensional -mixed automorphic functions with respect to given equivari…
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…
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…
A characterization of planar mixed automorphic forms
Allal Ghanmi
We characterize the space of the so-called planar mixed automorphic forms of type with respect to an equivariant pair as the image, by an appropriate transform, of…
On -eigenfunctions of Twisted Laplacian on curved surfaces and suggested orthogonal polynomials
Allal Ghanmi
We show in a unified manner that the factorization method describes completely the -eigenspaces associated to the discrete part of the spectrum of the twisted Laplacian on con…
On spectral analysis of a magnetic Schrodinger operator on planar mixed automorphic forms
Allal Ghanmi
We characterize the space of the so-called planar mixed automorphic forms of type with respect to an equivariant pair as the image of the usual automorphic forms by…