Everywhere divergent Fourier series

DOI10.4064/cm-45-1-103-118zbMath0491.42011OpenAlexW1468408081MaRDI QIDQ3952595

Thomas William Körner

Publication date: 1981

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm-45-1-103-118

zbMATH Keywords

Lebesgue integrable functioneverywhere divergent Fourier series

Mathematics Subject Classification ID

Convergence and absolute convergence of Fourier and trigonometric series (42A20)

Related Items (9)

Pointwise convergence of Fourier series. I: On a conjecture of Konyagin ⋮ Pointwise universal consistency of nonparametric density estimators ⋮ On the representation of functions by trigonometric series ⋮ On random variate generation when only moments of Fourier coefficients are known ⋮ Sergei Vladimirovich Konyagin turns 60 ⋮ The polynomial Carleson operator ⋮ On the divergence of linear summation methods of Fourier series ⋮ The pointwise convergence of Fourier series. II: strong \(L^1\) case for the lacunary Carleson operator ⋮ On sets of divergence of series with respect to some orthogonal systems of functions

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