I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2001, VOLUME 7, NUMBER 1, PAGES 105-119
A. N. Pavlikov
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We prove that in case of orthogonal-like decomposition systems with non-negative measure the Abel--Poisson's method of summation is equivalent to positive Cesaro's methods for convergence almost everywhere. A criterion for summability of a sequence of partial integrals almost everywhere is given.
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Last modified: May 10, 2001