Absolutely convergent Fourier-Bessel series and generalized Lipschitz classes

DOI10.1007/S00009-022-02224-XOpenAlexW4321186884MaRDI QIDQ6040017

Radouan Daher, Faouaz Saadi

Publication date: 24 May 2023

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-022-02224-x

zbMATH Keywords

Fourier-Bessel seriesFourier-Bessel transformgeneralized translation operatorLipschitz classBoas theorems

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) Basic hypergeometric integrals and functions defined by them (33D60) Convergence of Fourier series and of inverse transforms (43A50)

Cites Work

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• Absolutely convergent Fourier series and function classes
• Absolutely convergent Fourier series, classical function classes and Paley's theorem
• Higher order Lipschitz classes of functions and absolutely convergent Fourier series
• On generalized Lipschitz classes and Fourier series
• Fourier transforms and generalized Lipschitz classes in uniform metric
• Multiple Fourier coefficients and generalized Lipschitz classes in uniform metric
• Absolutely convergent Fourier series and function classes. II
• Smoothness conditions and Fourier series
• Fourier-Bessel transforms and generalized uniform Lipschitz classes

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