Lipschitz conditions for the generalized discrete Fourier transform associated with the Jacobi operator on \([0, \pi]\)

DOI10.1016/j.crma.2017.01.017zbMath1362.42006OpenAlexW2591398903MaRDI QIDQ517500

Radouan Daher, Salah El Ouadih

Publication date: 23 March 2017

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2017.01.017

zbMATH Keywords

Fourier seriesJacobi operatorLipschitz conditions

Mathematics Subject Classification ID

Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Summability and absolute summability of Fourier and trigonometric series (42A24)

Related Items

Generalized distributions and Jacobi-Dunkl approximations, Generalized Lipschitz conditions for absolute convergence of weighted Jacobi-Dunkl series, Lipschitz conditions in Damek-Ricci spaces, 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, Fourier-Bessel series of Lipschitz functions in weighted spaces \(L_p([0, 1, t^{2\alpha +1}dt)\)]

Cites Work

• Generalization of Titchmarsh's theorem for the Fourier transform in the space \(\mathrm {L}^{2}(\mathbb {R}^{n})\)
• Dini Lipschitz functions for the Dunkl transform in the space \(\mathrm{L}^{2}(\mathbb{R}^{d},w_{k}(x)dx)\)
• The convolution structure for Jacobi function expansions
• Fourier-Jacobi harmonic analysis and approximation of functions
• A Convolution Structure for Jacobi Series
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