On the summability of Fourier series with the method of lacunary arithmetic means

DOI10.1007/BF01904777zbMath0564.42004OpenAlexW1569013611MaRDI QIDQ1058089

J. Blot

Publication date: 1984

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01904777

zbMATH Keywords

Fourier serieslacunary arithmetic meansweak lacunarity condition

Mathematics Subject Classification ID

Convergence and absolute convergence of Fourier and trigonometric series (42A20) Lacunary series of trigonometric and other functions; Riesz products (42A55)

Related Items (6)

Cesàro summability of subsequence of the partial sums of Fourier series in operator-valued setting ⋮ Summability of Fourier series with the method of lacunary arithmetical means at the Lebesgue points ⋮ Cesàro means of subsequences of partial sums of trigonometric Fourier series ⋮ Almost everywhere convergence of Fejér and logarithmic means of subsequences of partial sums of the Walsh-Fourier series of integrable functions ⋮ Relation between Fourier series and Wiener algebras ⋮ On summability of subsequences of partial sums of trigonometric Fourier series

Cites Work

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• On linear summation methods of Fourier series
• On the lacunary Fourier series
• On trigonometric Fourier coefficients
• The Brauer-Manin Obstruction and III[2]
• Summability Methods Fail for the 2 n th Partial Sums of Fourier Series
• Sur la sommabilité des séries de Fourier
• On Strong Summability of Fourier Series
• On the central limit theorem for lacunary trigonometric series

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