Porous Sets and Convergence of Fourier Series

DOI10.2307/2161896zbMath0854.42003OpenAlexW4246765075MaRDI QIDQ4874265

Casper Goffman

Publication date: 29 May 1996

Full work available at URL: https://doi.org/10.2307/2161896

zbMATH Keywords

convergencegraphFourier seriesdivergencecontinuous functionfunctions of bounded variationporous set

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Cites Work

• Continuous functions need not have \(\sigma\)-porous graphs
• How Porous is the Graph of Brownian Motion?
• On convergence of Fourier series of functions of generalized bounded variation
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