ON A Hermite Transform in Spaces of Generalized Functions On R_{n}

DOI10.1080/10652460213514zbMath1028.46057OpenAlexW2069430856MaRDI QIDQ4782661

Hans-Jürgen Glaeske

Publication date: 2 December 2002

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

Full work available at URL: https://doi.org/10.1080/10652460213514

zbMATH Keywords

generalized functionsHermite transformconvolution structure

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Integral transforms in distribution spaces (46F12) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Hypergeometric functions (33C99)

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Operator properties and Heisenberg uncertainty principles for a un-unitary integral operator ⋮ On a new characterization of the true-poly-analytic Bargmann spaces

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