Abstract
Conditions for the convergence of Fejér means for functions on the infinite-dimensional torus over cubes and rectangles are obtained, and a generalization of these results to the case of products of abstract measure spaces is proposed.
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Original Russian Text © D. V. Fufaev, 2018, published in Matematicheskie Zametki, 2018, Vol. 103, No. 6, pp. 927–935.
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Fufaev, D.V. Summation of Fourier Series on the Infinite-Dimensional Torus. Math Notes 103, 990–996 (2018). https://doi.org/10.1134/S0001434618050358
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DOI: https://doi.org/10.1134/S0001434618050358