16 citations · 50 across the 10 of their papers we have counts for
10 papers
An integral transform connecting spherical analysis on harmonic NA groups to that of odd dimensional real hyperbolic spaces
A. Intissar, M. V. Ould Moustapha, Z. Mouhcine
The main aim of the present paper is to establish an integral transform connecting spherical analysis on harmonic NA groups to that of odd dimensional real hyperbolic spaces. Moreo…
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{…
Generalized Zernike polynomials: Integral representation and Cauchy transform
A. El Hamyani, A. Ghanmi, A. Intissar
The aim of this paper is two fold. We derive an integral representation for the generalized 2D Zernike polynomials which are of independent interest and give the explicit expressio…
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…
On holomorphic theta functions associated to rank isotropic discrete subgroups of a -dimensional complex space
Allal Ghanmi, Ahmed Intissar, Mohammed Souid El Ainin
We are interested in the -holomorphic automorphic functions on a -dimensional complex space endowed with a positive definite hermitian form and associate…
Weighted Bergman-Dirichlet and Bargmann-Dirichlet spaces of order : Explicit formulae for reproducing kernels and asymptotic
A. El Hamyani, A. Ghanmi, A. Intissar +2
We introduce new functional spaces that generalize the weighted Bergman and Dirichlet spaces on the disk D(0,R) in the complex plane and the Bargmann-Fock spaces on the whole compl…