Convergence and the Fourier character of trigonometric transforms with slowly varying convergence moduli

DOI10.1007/BF01444502zbMath0827.42003OpenAlexW2007910460MaRDI QIDQ1898139

David E. Grow, Ćaslav V. Stanojević

Publication date: 7 December 1995

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165338

zbMATH Keywords

integrabilityFourier seriesFourier coefficientsalmost everywhere convergence\(L^ 1\)-convergenceconvergence modulustrigonometric transform

Mathematics Subject Classification ID

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

Related Items (3)

On \(L_1\)-convergence of Fourier series ⋮ Strong asymptotic equivalence and inversion of functions in the class \(K_c\) ⋮ A theorem of Galambos-Bojanić-Seneta type

Cites Work

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• 0-regularly varying convergence moduli of Fourier and Fourier-Stieltjes series
• Representations of Fourier coefficients in Tauberian \(L^ 1\)-convergence classes
• On convergence and growth of partial sums of Fourier series
• Generalizations of the Sidon-Telyakovskii Theorem
• Structure of Fourier and Fourier-Stieltjes coefficients of series with slowly varying convergence moduli
• Hinreichende Bedingungen fur den Fourier-Charakter Einer Trigonometrischen Reihe*

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