Multipliers of Laplace transform type for Laguerre and Hermite expansions

DOI10.4064/sm203-3-4zbMath1227.42007arXiv1009.2518OpenAlexW2963262559MaRDI QIDQ5392183

Irene Drelichman, Ricardo G. Durán, Pablo L. De Nápoli

Publication date: 8 April 2011

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.2518

zbMATH Keywords

multipliersfractional integrationharmonic oscillatorLaguerre expansionsHermite expansions

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Multipliers in one variable harmonic analysis (42A45)

Related Items (5)

Characterization of UMD Banach spaces by imaginary powers of Hermite and Laguerre operators ⋮ Laplace type multipliers for Laguerre expansions of Hermite type ⋮ Potential operators associated with Jacobi and Fourier-Bessel expansions ⋮ MULTIPLIERS OF LAPLACE TRANSFORM TYPE IN CERTAIN DUNKL AND LAGUERRE SETTINGS ⋮ Harmonic analysis operators related to symmetrized Jacobi expansions

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