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This article is cited in 8 scientific papers (total 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.
Received: 23.03.2017
Citation:
L. D. Gogoladze, V. Sh. Tsagareishvili, “Unconditional convergence of Fourier series for functions of bounded variation”, Sibirsk. Mat. Zh., 59:1 (2018), 86–94; Siberian Math. J., 59:1 (2018), 65–72
Linking options:
https://www.mathnet.ru/eng/smj2956 https://www.mathnet.ru/eng/smj/v59/i1/p86
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Abstract page: | 198 | Full-text PDF : | 51 | References: | 28 | First page: | 3 |
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