Bessel transform of \((k, \gamma)\)-Bessel Lipschitz functions

DOI10.1155/2013/418546zbMath1276.42009OpenAlexW2013738743WikidataQ59015407 ScholiaQ59015407MaRDI QIDQ355699

Radouan Daher, Mohamed El Hamma

Publication date: 25 July 2013

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

Full work available at URL: https://doi.org/10.1155/2013/418546

zbMATH Keywords

Bessel transform

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Related Items (5)

Titchmarsh's theorems, \(K\)-functional and Jackson's theorems for the free metaplectic transform ⋮ Titchmarsh's theorem and some remarks concerning the right-sided quaternion Fourier transform ⋮ Generalization of Titchmarsh's theorem for the Fourier transform in the space \(\mathrm {L}^{2}(\mathbb {R}^{n})\) ⋮ Dini-Lipschitz functions for the quaternion linear canonical transform ⋮ Dini Lipschitz functions for the Dunkl transform in the space \(\mathrm{L}^{2}(\mathbb{R}^{d},w_{k}(x)dx)\)

Cites Work

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• Equivalence of \(K\)-functionals and modulus of smoothness constructed by generalized Dunkl translations
• Fourier transforms of Dini-Lipschitz functions
• Approximation of functions by the Fourier-Bessel sums
• On estimates for the Fourier-Bessel integral transform in the space L 2(ℝ+)

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