Moduli of smoothness and generalized canonical Fourier-Bessel differential operator on the half-line

DOI10.1007/s11868-023-00515-9zbMath1528.41065OpenAlexW4323832995MaRDI QIDQ6043158

Mhamed Elomari, Ali El Mfadel

Publication date: 4 May 2023

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11868-023-00515-9

zbMATH Keywords

modulus of smoothnessK-functionalscanonical Fourier-Bessel operator

Mathematics Subject Classification ID

Approximation by positive operators (41A36) Relations between ergodic theory and harmonic analysis (37A46) Operator theory and harmonic analysis (47B90)

Cites Work

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• Fourier–Jacobi harmonic analysis and some problems of approximation of functions on the half-axis in L₂ metric: Jackson's type direct theorems
• AnL^pversion of Hardy's theorem for the Jacobi–Dunkl transform
• Harmonic analysis associated to the canonical Fourier Bessel transform
• Fourier-Jacobi harmonic analysis and approximation of functions

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