Some new estimates for the Jacobi transform in the space \(L_{2}(\mathbb{R}^{+}, J^{\alpha,\beta}(x)dx)\)

zbMath1356.44003MaRDI QIDQ326909

Salah El Ouadih, Radouan Daher

Publication date: 12 October 2016

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

Full work available at URL: http://apjm.apacific.org/PDFs/2-1-1-8.pdf

zbMATH Keywords

generalized continuity modulusJacobi transformgeneralized translation operator

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15)

Cites Work

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• Growth properties of Fourier transforms via moduli of continuity
• Approximation of functions by the Fourier-Bessel sums
• The convolution structure for Jacobi function expansions

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