4 papers
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…
On concrete spectral properties of a twisted-Laplacian associated to a central extension of the real Heisenberg group
Aymane EL Fardi, Allal Ghanmi, Ahmed Intissar
We consider the magnetic Laplacian on given by $$ Δ_{ν,μ}= 4\sum\limits_{j=1}\limits^{n}\frac{\partial^2 }{\partial z_j \partial \overline{…
Analytic and arithmetic properties of the -automorphic reproducing kernel function
A. El Fardi, A. Ghanmi, L. Imlal +1
We consider the reproducing kernel function of the theta Bargmann-Fock Hilbert space associated to given full-rank lattice and pseudo-character, and we deal with some of its analyt…
Weighted Bergman-Dirichlet and Bargmann-Dirichlet spaces of order in high dimensions
Ayman El Fardi, Allal Ghanmi, Ahmed Intissar +1
We introduce and study a generalization of the classical weighted Bergman and Dirichlet spaces on the unit ball in high dimension, the Bergman-Dirichlet spaces. Their counterparts…