73 citations · 176 across the 40 of their papers we have counts for
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Complex Hermite functions as Fourier-Wigner transform
Fatima Agorram, Arij Benkhadra, Amal El Hamyani +1
We prove that the complex Hermite polynomials H_{m,n} on the complex plane can be realized as the Fourier-Wigner transform of the well-known real Hermite…
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…