Remarks on isometric mappings between the Hardy–Szegö and Bergman–Selberg spaces: wavelet transforms and Laguerre functions

DOI10.1080/10652460801939576zbMath1148.42009OpenAlexW2017604822MaRDI QIDQ3534850

Luís Daniel Abreu

Publication date: 5 November 2008

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

Full work available at URL: https://doi.org/10.1080/10652460801939576

zbMATH Keywords

waveletsLaguerre functionsBergman spacesHardy spaces

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Spaces of bounded analytic functions of one complex variable (30H05)

Related Items

Time-frequency transforms of white noises and Gaussian analytic functions, A family of circular Bargmann transforms., Discrete coherent states for higher Landau levels, Phase coherent states with circular Jacobi polynomials for the pseudoharmonic oscillator

Cites Work

• Foundations of time-frequency analysis
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• Isometrical mappings between the szegö and the bergman-selberg spaces
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• A Paley-Wiener theorem for Bergman spaces with application to invariant subspaces
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