A special orthogonal complement basis for holomorphic-Hermite functions and associated 1d- and 2d-fractional Fourier transforms

DOI10.1080/10652469.2019.1702659zbMath1442.42061OpenAlexW2996738234MaRDI QIDQ5113859

Mohammed Souid El Ainin, Abdelhadi Benahmadi, Allal Ghanmi

Publication date: 18 June 2020

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2019.1702659

zbMATH Keywords

reproducing kernelspolyanalytic functionsSegal-Bargmann transformgeneralized Bargmann spacesfractional like-Fourier transformholomorphic Hermite polynomialspolyanalytic Hermite polynomials

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Numerical methods for integral transforms (65R10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Hilbert spaces of continuous, differentiable or analytic functions (46E20)

Related Items (2)

Two-dimensional \((p, q)\)-heat polynomials of Gould-Hopper type ⋮ On a new characterization of the true-poly-analytic Bargmann spaces

Cites Work

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