Abstract
In this work, a universal trigonometric series is constructed such that, after multiplying the terms of this series by some sequence of signs \(\{\delta_{k}=\pm 1\}_{k=0}^{\infty}\), it can be transformed into the Fourier series of some integrable function.
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The study is supported by the Science Committee of the Republic of Armenia, project no. 21AG-1A066.
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Translated by E. Oborin
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Grigoryan, M.G. On Fourier Series Almost Universal in the Class of Measurable Functions. J. Contemp. Mathemat. Anal. 57, 215–221 (2022). https://doi.org/10.3103/S1068362322040069
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DOI: https://doi.org/10.3103/S1068362322040069