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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2018 Volume 59, Number 1, Pages 86–94 (Mi smj2956)

This article is cited in 8 papers

Unconditional convergence of Fourier series for functions of bounded variation

L. D. Gogoladze, V. Sh. Tsagareishvili

Tbilisi State University, Tbilisi, Georgia

Abstract: 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.

Keywords: Fourier coefficients, function of finite variation, unconditional convergence.

UDC: 517.521

MSC: 35R30

Received: 23.03.2017

DOI: 10.17377/smzh.2018.59.108


 English version:
Siberian Mathematical Journal, 2018, 59:1, 65–72

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© Steklov Math. Inst. of RAS, 2024