Laguerre-Bessel transform and generalized Lipschitz classes

DOI10.2478/TMMP-2023-0029zbMath1530.42016OpenAlexW4388772130MaRDI QIDQ6185113

Larbi Rakhimi, Radouan Daher, Abdelmajid Khadari

Publication date: 8 January 2024

Published in: Tatra Mountains Mathematical Publications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/tmmp-2023-0029

zbMATH Keywords

Lipschitz conditiongeneralized translation operatorBoas theoremsLaguerre-Bessel transform

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Trigonometric approximation (42A10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Lipschitz (Hölder) classes (26A16) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Cites Work

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• Absolutely convergent Fourier series and function classes
• Absolutely convergent Fourier integrals and classical function spaces
• Higher order Lipschitz classes of functions and absolutely convergent Fourier series
• Deux cours d'analyse harmonique. École d'Été d'Analyse Harmonique de Tunis, 1984
• On generalized Lipschitz classes and Fourier series
• Boas-type theorems for the \(q\)-Bessel Fourier transform
• Boas-type theorems for the Bessel transform
• Modulus of smoothness and \(K\)-functionals constructed by generalized Laguerre-Bessel operator
• Boas-type theorems for Laguerre type operator
• Fourier transforms and generalized Lipschitz classes in uniform metric
• Multiple Fourier coefficients and generalized Lipschitz classes in uniform metric
• Smoothness conditions and Fourier series
• On the concentration of a function and its Laguerre-Bessel transform
• Lévy-Khintchine formula and dual convolution semigroups associated with Laguerre and Bessel functions

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