73 citations · 176 across the 40 of their papers we have counts for
26 papers · 1 filter
Fractional Zernike functions
Hajar Dkhissi, Allal Ghanmi, Safa Snoun
We consider and provide an accurate study for the fractional Zernike functions on the punctured unit disc, generalizing the classical Zernike polynomials and their associated -r…
Bicomplex polyharmonicity and polyholomorphy
Aiad El Gourari, Allal Ghanmi, Ilham Rouchdi
In this paper, we are concerned with the bicomplex analog of the well-known result asserting that real-valued harmonic functions, on simply connected domains, are the real parts of…
A note on weighted poly-Bergman spaces
R. El Harti, A. ElKachkouri, A. Ghanmi
We introduce à la Vasilevski the weighted poly-Bergman spaces in the unit disc and provide concrete orthonormal basis and give close expression of their reproducing kernel. The mai…
On the range of weighted planar Cauchy transform
Allal Ghanmi
We describe the range of of weighted Cauchy transform and its -Bergman projection when action on weighted true poly-Bargmann spaces constituting an orthogonal Hilbertian decompo…
Weighted quaternionic Cauchy singular integral
Abdellatif Elkachkouri, Allal Ghanmi
We investigate some spectral properties of the weighted quaternionic Cauchy transform when acting on the right quaternionic Hilbert space of Gaussian integrable functions. We study…
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…