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(C,1)-Summation of Fourier Series over Rearranged Vilenkin System / Polyakov I.V. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2010. № 4. P. 7-15 [Moscow Univ. Math. Bulletin. Vol. 65, No 4, 2010. P. 140-147]. The Cesàro means of a function f with respect to the Vilenkin system in the Kaczmarz rearrangement are considered. We prove that these means of a summable function converge to it almost everywhere.
Key words: Fourier series, Vilenkin system, Kaczmarz system, convergence almost everywhere,
Shipp's rearrangements of Walsh system, (C,1)-summability.
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