Gibbs' phenomenon for Fourier-Bessel series

zbMath0774.42016MaRDI QIDQ2367282

Mark A. Pinsky, Alfred Gray

Publication date: 8 August 1993

Published in: Expositiones Mathematicae (Search for Journal in Brave)

zbMATH Keywords

Gibbs phenomenonFourier-Bessel series\(p\)-dimensional Fourier series

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Fourier series and coefficients in several variables (42B05)

Related Items (8)

Gibbs-Wilbraham splines ⋮ Fourier Inversion for Piecewise Smooth Functions in Several Variables ⋮ Pointwise Fourier inversion: A wave equation approach ⋮ Extrapolation algorithms for filtering series of functions, and treating the Gibbs phenomenon ⋮ Application of Gegenbauer polynomial expansions to mitigate Gibbs phenomenon in Fourier-Bessel series solutions of a dynamic sphere problem ⋮ Localization and convergence of eigenfunction expansions ⋮ Large-degree asymptotics and exponential asymptotics for Fourier, Chebyshev and Hermite coefficients and Fourier transforms ⋮ Fourier expansions of functions with bounded variation of several variables

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