On the Divergence of Fourier Series

DOI10.2307/2033152zbMath0090.28201OpenAlexW4240239187MaRDI QIDQ3264921

Richard P. Gosselin

Publication date: 1958

Full work available at URL: https://doi.org/10.2307/2033152

zbMATH Keywords

approximation and series expansion

Related Items (10)

Pointwise convergence of Fourier series. I: On a conjecture of Konyagin ⋮ Structural and geometric characteristics of sets of convergence and divergence of multiple Fourier series with \(J_k\)-lacunary sequence of rectangular partial sums ⋮ Almost everywhere divergence of Cesàro means with varying parameters of Walsh-Fourier series ⋮ Sergei Vladimirovich Konyagin turns 60 ⋮ Trigonometric Fourier series and Walsh-Fourier series with lacunary sequence of partial sums ⋮ Almost everywhere convergence of subsequence of quadratic partial sums of two-dimensional Walsh-Fourier series ⋮ On the divergence of subsequences of partial Walsh-Fourier sums ⋮ On the pointwise convergence of the sequence of partial Fourier sums along lacunary subsequences ⋮ Almost everywhere divergent subsequences of Fourier sums of functions from \(\varphi (L) \cap H_1^\omega\) ⋮ The pointwise convergence of Fourier series. II: strong \(L^1\) case for the lacunary Carleson operator

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