Unconditional Convergence of Fourier Series for Functions of Bounded Variation

Unconditional Convergence of Fourier Series for Functions of Bounded Variation

This article concerns the unconditional convergence a.e. of Fourier series with respect to general orthonormal systems. We find certain conditions to be satisfied by the functions in the orthonormal system so that the Fourier series of each function of finite variation unconditionally converge a.e....

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Veröffentlicht in:Siberian mathematical journal 2018, Vol.59 (1), p.65-72
Hauptverfasser: Gogoladze, L. D., Tsagareishvili, V. Sh
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Sprache:eng
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Convergence
Fourier series
Mathematics
Mathematics and Statistics
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container_title Siberian mathematical journal
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creator Gogoladze, L. D.
Tsagareishvili, V. Sh
description This article concerns the unconditional convergence a.e. of Fourier series with respect to general orthonormal systems. We find certain conditions to be satisfied by the functions in the orthonormal system so that the Fourier series of each function of finite variation unconditionally converge a.e. The results are best possible.
doi_str_mv 10.1134/S0037446618010081
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subjects Convergence
Fourier series
Mathematics
Mathematics and Statistics
title Unconditional Convergence of Fourier Series for Functions of Bounded Variation
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