Discrete Fourier--Neumann series

DOI10.1016/j.jat.2004.01.009zbMath1043.42018OpenAlexW2067615385MaRDI QIDQ596815

Óscar Ciaurri

Publication date: 10 August 2004

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2004.01.009

zbMATH Keywords

Fourier seriesBessel functionsNeumann seriesmean convergencediscrete Hilbert transformdiscrete \(A_p\) weights

Mathematics Subject Classification ID

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

Cites Work

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• The disc multiplier
• Radial weights and mixed norm inequalities for the disc multiplier
• Mean and almost everywhere convergence of Fourier-Neumann series
• Fourier series of functions whose Hankel transform is supported on \([0,1\)]
• Solving dual integral equations on Lebesgue spaces
• Band-Limited Functions: L p -Convergence
• Weighted Norm Inequalities for the Conjugate Function and Hilbert Transform

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