Fourier-Bessel Dini Lipschitz functions in the space \(L_{\alpha,n}^{2}\)

DOI10.1007/S13370-017-0509-5zbMath1391.46033OpenAlexW2729888368MaRDI QIDQ1693968

Radouan Daher, Salah El Ouadih

Publication date: 1 February 2018

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-017-0509-5

zbMATH Keywords

generalized translation operatorsingular differential operatorgeneralized Fourier-Bessel transform

Mathematics Subject Classification ID

Integral transforms of special functions (44A20) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (2)

Discrete Fourier-Laplace transforms of Lipschitz functions in the spaces \(S^{(p,q)}(\sigma^{m-1})\) ⋮ On spherical analogues of the classical theorems of Titchmarsh

Cites Work

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• An analog of Titchmarsh's theorem for the generalized Fourier-Bessel transform
• Fourier transforms of Dini-Lipschitz functions
• Approximation of functions by the Fourier-Bessel sums
• Generalization of Titchmarsh's theorem for the Fourier transform in the space \(\mathrm {L}^{2}(\mathbb {R}^{n})\)

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