3 papers
math.CV2017
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{…
math.CV2017
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…
math.CV2015
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…