Tauberian Conditions for L 1 -Convergence of Fourier Series

DOI10.2307/1998762zbMath0488.42005OpenAlexW2005569773MaRDI QIDQ3949473

Ćaslav V. Stanojević

Publication date: 1982

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1998762

zbMATH Keywords

Fourier seriesTauberian conditionssequence of Fourier coefficientsL1-convergence classes

Mathematics Subject Classification ID

Convergence and absolute convergence of Fourier and trigonometric series (42A20) Tauberian theorems (40E05) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)

Related Items (3)

0-regularly varying convergence moduli of Fourier and Fourier-Stieltjes series ⋮ Representations of Fourier coefficients in Tauberian \(L^ 1\)-convergence classes ⋮ Convergence of Fourier series with complex quasimonotone coefficients and coefficients of bounded variation of order \(m^*\)

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