Holomorphic Hermite functions and ellipses

DOI10.1080/10652469.2017.1334057zbMath1379.33015arXiv1703.05905OpenAlexW2962946592MaRDI QIDQ4978628

Hiroyuki Chihara

Publication date: 25 August 2017

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

Full work available at URL: https://arxiv.org/abs/1703.05905

zbMATH Keywords

Bargmann transformSegal-Bargmann spacesholomorphic Hermite functions

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) 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) Fourier integral operators applied to PDEs (35S30)

Related Items (3)

Holomorphic Hermite functions in Segal-Bargmann spaces ⋮ On a novel class of polyanalytic Hermite polynomials ⋮ Bargmann-type transforms and modified harmonic oscillators

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