Fourier series of functions whose Hankel transform is supported on \([0,1]\)

DOI10.1007/BF01205166zbMath0803.42015MaRDI QIDQ1322597

Juan Luis Varona

Publication date: 3 January 1995

Published in: Constructive Approximation (Search for Journal in Brave)

zbMATH Keywords

Hankel transformorthogonal systemmean convergence of Fourier series

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 (10)

The multiplier of the interval \([-1,1\) for the Dunkl transform on the real line] ⋮ Discrete Fourier--Neumann series ⋮ Almost everywhere convergence of prolate spheroidal series ⋮ Higher order Riesz transforms for Fourier-Bessel expansions ⋮ Bilinear biorthogonal expansions and the Dunkl kernel on the real line ⋮ The surprising almost everywhere convergence of Fourier-Neumann series ⋮ Mean convergence of prolate spheroidal series and their extensions ⋮ The Bochner-Riesz means for Fourier-Bessel expansions ⋮ Mean and almost everywhere convergence of Fourier-Neumann series ⋮ A weighted uniform $L^{p}$--estimate of Bessel functions: A note on a paper of Guo

Cites Work

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• Weak behaviour of Fourier-Jacobi series
• The disc multiplier
• Band-Limited Functions: L p -Convergence
• Weighted Norm Inequalities for the Conjugate Function and Hilbert Transform
• Neumann Series of Bessel Functions
• The Mean Convergence of Orthogonal Series. I
• Neumann Series of Bessel Functions. II
• Mean Convergence of Orthogonal Series

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