73 citations · 176 across the 40 of their papers we have counts for
4 papers · 2 filters
Generalized quaternionic Bargmann-Fock spaces and associated Segal-Bargmann transforms
A. El Hamyani, A. Ghanmi
We introduce new classes of right quaternionic Hilbert spaces of Bargmann-Fock type , labeled by nonnegative integer , generalizing the so-call…
Non-trivial 1d and 2d integral transforms of Segal-Bargmann type
Abdelhadi Benahmadi, Allal Ghanmi
Generating functions for the univariate complex Hermite polynomials (UCHP) are employed to introduce some non-trivial one and two-dimensional integral transforms of Segal-Bargmann…
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…