Unconditional convergence of Fourier series for functions of bounded variation

DOI10.1134/S0037446618010081zbMath1393.42002WikidataQ130133439 ScholiaQ130133439MaRDI QIDQ1642302

L. D. Gogoladze, Vakhtang Tsagareishvili

Publication date: 20 June 2018

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

unconditional convergencefunction of finite variation

Mathematics Subject Classification ID

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

Related Items (7)

On the issue of convergence and summability of general Fourier series ⋮ Problems of unconditional convergence ⋮ Formations and products of \(F(G)\)-subnormal subgroups of finite solvable groups ⋮ Unconditional convergence of general Fourier series ⋮ Some problems of convergence of general Fourier series ⋮ General Fourier coefficients and convergence almost everywhere ⋮ General Fourier coefficients and problems of summability almost everywhere

Cites Work

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• Convergence of Fourier series with respect to general orthonormal systems
• On some properties of orthogonal systems of convergence
• Some classes of functions and Fourier coefficients with respect to general orthonormal systems
• Integrated orthonormal series
• Absolute convergence of Fourier series of functions of class $ \operatorname{Lip}1$ and of functions of bounded variation
• Summability of general orthonormal Fourier series
• Function classes and convergence almost everywhere
• ABSOLUTE CONVERGENCE OF FOURIER SERIES WITH RESPECT TO COMPLETE ORTHONORMAL SYSTEMS

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