Mean and almost everywhere convergence of Fourier-Neumann series

DOI10.1006/jmaa.1999.6442zbMath0953.42015OpenAlexW1974840643MaRDI QIDQ1304612

Óscar Ciaurri, José J. Guadalupe Hernandez, Mario Pérez Riera, Juan Luis Varona

Publication date: 28 September 2000

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6442

zbMATH Keywords

Hankel transformFourier seriesBessel functionsNeumann seriesalmost everywhere convergenceorthogonal systemmean convergence

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (5)

A Whittaker-Shannon-Kotel’nikov sampling theorem related to the Dunkl transform ⋮ Discrete Fourier--Neumann series ⋮ Almost everywhere convergence of prolate spheroidal series ⋮ Bilinear biorthogonal expansions and the Dunkl kernel on the real line ⋮ The surprising almost everywhere convergence of Fourier-Neumann series

Cites Work

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• Band-Limited Functions: L p -Convergence
• A weighted uniform $L^{p}$--estimate of Bessel functions: A note on a paper of Guo
• Mean Convergence of Jacobi Series
• ON THE MEAN INVERSION OF FOURIER AND HANKEL TRANSFORMS

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