Email this article Unconditional Convergence of Fourier Series for Functions of Bounded Variation
- Authors: Gogoladze L.D.1, Tsagareishvili V.S.1
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Affiliations:
- Tbilisi State University
- Issue: Vol 59, No 1 (2018)
- Pages: 65-72
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171656
- DOI: https://doi.org/10.1134/S0037446618010081
- ID: 171656
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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.
About the authors
L. D. Gogoladze
Tbilisi State University
Author for correspondence.
Email: lgogoladze1@hotmail.com
Georgia, Tbilisi
V. Sh. Tsagareishvili
Tbilisi State University
Email: lgogoladze1@hotmail.com
Georgia, Tbilisi
