Fourier series of Jacobi–Sobolev polynomials
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Publication:4622845
DOI10.1080/10652469.2018.1560279zbMath1407.42002arXiv1806.08105OpenAlexW2809056336MaRDI QIDQ4622845
Óscar Ciaurri, Judit Mínguez Ceniceros
Publication date: 18 February 2019
Published in: Integral Transforms and Special Functions (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1806.08105
Convergence and absolute convergence of Fourier and trigonometric series (42A20) Other special orthogonal polynomials and functions (33C47)
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Coherent pairs of measures of the second kind on the real line and Sobolev orthogonal polynomials. An application to a Jacobi case, On convergence of Fourier series in discrete Jacobi–Sobolev spaces, The uniform convergence of Fourier series in a system of polynomials orthogonal in the sense of Sobolev and associated to Jacobi polynomials, Coherent pairs of moment functionals of the second kind and associated orthogonal polynomials and Sobolev orthogonal polynomials, Fourier series for coherent pairs of Jacobi measures, Discrete-continuous Jacobi-Sobolev spaces and Fourier series, Sobolev orthogonal systems with two discrete points and Fourier series
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