Fourier-Bessel series of Lipschitz functions in weighted spaces \(L_p([0, 1], t^{2\alpha +1}dt)\)

DOI10.1007/s13324-022-00741-2zbMath1502.42021OpenAlexW4306385935MaRDI QIDQ2091403

Radouan Daher, Faouaz Saadi

Publication date: 1 November 2022

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-022-00741-2

zbMATH Keywords

Fourier-Bessel seriesFourier-Bessel transformgeneralized translation operatorLipschitz classTitchmarsh theorem

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Cites Work

• Lipschitz conditions for the generalized discrete Fourier transform associated with the Jacobi operator on \([0, \pi\)]
• Sugli zeri delle funzioni di Bessel
• Generalization of Titchmarsh's theorem for the Fourier transform in the space \(\mathrm {L}^{2}(\mathbb {R}^{n})\)
• A differential equation for the zeros of bessel functions
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