On the Integrability of Complex Trigonometric Series

DOI10.2307/2044552zbMath0562.42006OpenAlexW4251441791MaRDI QIDQ3674936

Vera B. Stanojevic, William O. Bray

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/2044552

zbMATH Keywords

convergence\(L^ 1(T)\)-integrabilityFourier character

Mathematics Subject Classification ID

Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)

Related Items (4)

Some sufficient conditions for uniform convergence of Fourier series ⋮ Ultimate generalization to monotonicity for uniform convergence of trigonometric series ⋮ On integrability and \(L^{1}\)-convergence differentiated trigonometric series. ⋮ Integral representation for Bessel's functions of the first kind and Neumann series

Cites Work

• Unnamed Item
• Tauberian \(L^ 1\)-convergence classes of Fourier series. II
• On a Theorem of P. L. Uljanov
• Tauberian L 1 -Convergence Classes of Fourier Series. I
• On a Theorem of Stanojevic
• L 1 -Convergence of Fourier Series with Complex Quasimonotone Coefficients

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