Gibbs' phenomenon and arclength

DOI10.1007/BF02511544zbMath0967.42002MaRDI QIDQ1588373

Robert S. Strichartz

Publication date: 30 August 2001

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

Full work available at URL: https://eudml.org/doc/59658

zbMATH Keywords

Fourier seriesjump discontinuitiesarclengthGibbs' phenomenonpiecewise \(C^1\) function

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Summability and absolute summability of Fourier and trigonometric series (42A24) Other transformations of harmonic type (42C20)

Related Items (2)

On Gibbs-Wilbraham phenomenon and the arclength of Fourier series ⋮ Gibbs’ phenomenon and surface area

Cites Work

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• The Gibbs- Wilbraham phenomenon: An episode in Fourier analysis
• Gibbs phenomenon for wavelets
• Quantum fractals in boxes

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