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math.CA2020
-complex Itô--Hermite polynomials
Abdelhadi Benahmadi, Allal Ghanmi
We introduce two classes of -Itô--Hermite polynomials, the post-quantum analogs of the -Itô--Hermite polynomials introduced recently by Ismail and Zhang. We study their b…
math.CV2020
Dual of 2D fractional Fourier transform associated to Itô--Hermite polynomials
Abdelhadi Benahmadi, Allal Ghanmi
A class of integral transforms, on the planar Gaussian Hilbert space with range in the weighted Bergman space on the bi-disk, is defined as the dual transforms of the 2d fractional…