Boas-type theorems for Laguerre type operator

DOI10.1007/S11868-022-00472-9zbMath1504.43007OpenAlexW4288702860WikidataQ113899765 ScholiaQ113899765MaRDI QIDQ2160366

Radouan Daher, Larbi Rakhimi

Publication date: 3 August 2022

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

Full work available at URL: https://doi.org/10.1007/s11868-022-00472-9

zbMATH Keywords

Lipschitz conditiongeneralized translation operatorLaguerre transformBoas theorems

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Trigonometric approximation (42A10) Lipschitz (Hölder) classes (26A16) Harmonic analysis on hypergroups (43A62) Other transforms and operators of Fourier type (43A32)

Related Items (4)

Dual Boas type results for the quaternion transform and generalized Lipschitz spaces ⋮ Laguerre-Bessel transform and generalized Lipschitz classes ⋮ Boas type and Titchmarsh type theorems for generalized Fourier-Bessel transform ⋮ Boas type results for two-sided quaternion Fourier transform and uniform Lipschitz spaces

Cites Work

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• Higher order Lipschitz classes of functions and absolutely convergent Fourier series
• Inversion of the Radon transform on the Laguerre hypergroup by using generalized wavelets
• Lipschitz conditions in Laguerre hypergroup
• On generalized Lipschitz classes and Fourier series
• Boas-type theorems for the \(q\)-Bessel Fourier transform
• Boas-type theorems for the Bessel transform
• Equivalence of $K$-functionals and modulus of smoothness for Laguerre type operator
• Fourier transforms and generalized Lipschitz classes in uniform metric
• Smoothness conditions and Fourier series

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