Pseudo-differential operators associated with Laguerre hypergroups

DOI10.1016/J.CAM.2009.02.028zbMath1179.35356OpenAlexW2019441564MaRDI QIDQ1035604

Miloud Assal

Publication date: 4 November 2009

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2009.02.028

zbMATH Keywords

pseudo-differential operatorsgeneralized Sobolev spacesFourier-Laguerre transformLaguerre hypergroups

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Function spaces arising in harmonic analysis (42B35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Pseudodifferential operators (47G30)

Related Items (4)

Uncertainty inequalities on Laguerre hypergroup ⋮ An improved Hardy's inequality associated with the Laguerre Fourier transform ⋮ Hardy's type inequality associated with the Laguerre Fourier transform ⋮ Hardy's type inequality for the over critical exponent associated with the inverse Fourier Laguerre transform

Cites Work

• Deux cours d'analyse harmonique. École d'Été d'Analyse Harmonique de Tunis, 1984
• Spaces with an abstract convolution of measures
• Inversion of the Radon transform on the Laguerre hypergroup by using generalized wavelets
• Sobolev type spaces on the dual of the Laguerre hypergroup
• Generalized Besov type spaces on the Laguerre hypergroup
• The Addition Formula for Laguerre Polynomials

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