The convergence of discrete Fourier-Jacobi series

DOI10.1090/proc/14925zbMath1437.42002arXiv1906.08004OpenAlexW2989650104MaRDI QIDQ4959731

Edgar Labarga, Alberto Arenas, Óscar Ciaurri

Publication date: 7 April 2020

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.08004

zbMATH Keywords

Jacobi polynomialsweighted norm inequalitiesdiscrete harmonic analysis\(\ell^p (\mathbb{N})\)-convergence

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Convergence and absolute convergence of Fourier and trigonometric series (42A20)

Uses Software

• DLMF

Cites Work

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• Discrete harmonic analysis associated with ultraspherical expansions
• Weak behaviour of Fourier-Jacobi series
• A Hardy inequality for ultraspherical expansions with an application to the sphere
• A weighted transplantation theorem for Jacobi coefficients
• Harmonic analysis associated with a discrete Laplacian
• A transplantation theorem for ultraspherical coefficients
• A transplantation theorem for Jacobi coefficients
• The mean convergence of orthogonal series. III
• On the Weak Behaviour of Partial Sums of Legendre Series
• Transplantation theorems and multiplier theorems for Jacobi series
• Weighted Weak Behaviour of Fourier‐Jacobi Series
• Mean Convergence of Jacobi Series
• Weighted Norm Inequalities for the Conjugate Function and Hilbert Transform
• Mean Convergence of Orthogonal Series

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