Representations of Fourier coefficients in Tauberian \(L^ 1\)-convergence classes

DOI10.1016/0022-247X(91)90288-BzbMath0737.42003MaRDI QIDQ1178466

Vera B. Stanojevic, David E. Grow

Publication date: 26 June 1992

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Fourier coefficientsTauberian condition\(O\)-regularly varying sequences

Mathematics Subject Classification ID

Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Rate of growth of functions, orders of infinity, slowly varying functions (26A12)

Related Items (1)

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

Cites Work

• Unnamed Item
• Tauberian \(L^ 1\)-convergence classes of Fourier series. II
• 0-regularly varying convergence moduli of Fourier and Fourier-Stieltjes series
• Tauberian L 1 -Convergence Classes of Fourier Series. I
• Structure of Fourier and Fourier-Stieltjes coefficients of series with slowly varying convergence moduli
• Tauberian Conditions for L 1 -Convergence of Fourier Series

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