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A special orthogonal complement basis for holomorphic-Hermite functions and associated 1d - and 2d-fractional Fourier transforms
Authors:Abdelhadi Benahmadi  Mohammed Souid El Ainin
Affiliation:1. Faculty of Sciences, Department of Mathematics, Analysis, P.D.E. and Specral Geometry, A.G.A., Lab MIA–SI, CeReMAR, Mohammed V University in Rabat, Rabat, Morocco;2. Faculty of Law, Economics and Social Sciences, Ibn Zohr University, Agadir, Morocco
Abstract:
Keywords:Generalized Bargmann spaces  polyanalytic functions  reproducing kernels  holomorphic Hermite polynomials  polyanalytic Hermite polynomials  Segal–Bargmann transform  fractional like-Fourier transform
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