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Localization of a corner-point Gibbs phenomenon for Fourier series in two dimensions

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Publication:1602274
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DOI10.1007/s00041-002-0002-9zbMath0993.42003OpenAlexW2080892733MaRDI QIDQ1602274

Gilbert Helmberg

Publication date: 25 September 2002

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

Full work available at URL: https://doi.org/10.1007/s00041-002-0002-9


zbMATH Keywords

Fourier seriespartial sumspointwise convergencecorner point Gibbs phenomenon


Mathematics Subject Classification ID

Fourier series and coefficients in several variables (42B05)


Related Items (4)

An averaging method for the Fourier approximation to discontinuous functions ⋮ Gibbs' phenomenon in higher dimensions ⋮ Large-degree asymptotics and exponential asymptotics for Fourier, Chebyshev and Hermite coefficients and Fourier transforms ⋮ Two-dimensional symmetric and antisymmetric generalizations of exponential and cosine functions




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