1 citations · 1 across the 6 of their papers we have counts for
6 papers
Bicomplex frames
Aiad El Gourari, Allal Ghanmi, Mohammed Souid El Ainin
The main purpose is to introduce the so-called bicomplex (bc)-frames which is a special extension to bicomplex infinite Hilbert spaces of the classical frames. The crucial result i…
The orthogonal complement of the Hilbert space associated to holomorphic Hermite polynomials
Abdelhadi Benahmadi, Allal Ghanmi, Mohammed Souid El Ainin
We study the orthogonal complement of the Hilbert subspace considered by by van Eijndhoven and Meyers in [J. Math. Anal. Appl. 146 (1990), no. 1, 89--98} and associated to holomorp…
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…
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…
Concrete description for rank one -theta Fock-Bargmann space in high dimension
Mohammed Souid El Ainin
We deal with the -theta Fock-Bargmann space consisting of holomorphic automorphic functions associated to given discrete subgroup in of rank one an…