)-Summation of Fourier Series over Rearranged Vilenkin System / Polyakov I.V. (C,1 // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2010. № 4. P. 7-15 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. 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.

№ 4/2010