The surprising almost everywhere convergence of Fourier-Neumann series

DOI10.1016/J.CAM.2009.02.033zbMath1204.42044OpenAlexW2082060099MaRDI QIDQ1035610

Juan Luis Varona, Óscar Ciaurri

Publication date: 4 November 2009

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2009.02.033

zbMATH Keywords

Hankel transformJacobi polynomialsBessel functionsalmost everywhere convergenceFourier-Neumann series

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Completeness of sets of functions in nontrigonometric harmonic analysis (42C30)

Related Items (1)

Almost everywhere convergence of prolate spheroidal series

Cites Work

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• Mean and almost everywhere convergence of Fourier-Neumann series
• Fourier series of functions whose Hankel transform is supported on \([0,1\)]
• Band-Limited Functions: L p -Convergence
• A weighted uniform $L^{p}$--estimate of Bessel functions: A note on a paper of Guo
• Mean Cesàro-type summability of Fourier-Neumann series

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