Fundamentalʹnaâ i prikladnaâ matematika, Tome 7 (2001) no. 1, pp. 105-119
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A. N. Pavlikov. The Cesaro average for orthogonal-like decomposition systems with non-negative measure. Fundamentalʹnaâ i prikladnaâ matematika, Tome 7 (2001) no. 1, pp. 105-119. http://geodesic.mathdoc.fr/item/FPM_2001_7_1_a6/
@article{FPM_2001_7_1_a6,
author = {A. N. Pavlikov},
title = {The~Cesaro average for orthogonal-like decomposition systems with non-negative measure},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {105--119},
year = {2001},
volume = {7},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2001_7_1_a6/}
}
TY - JOUR
AU - A. N. Pavlikov
TI - The Cesaro average for orthogonal-like decomposition systems with non-negative measure
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 2001
SP - 105
EP - 119
VL - 7
IS - 1
UR - http://geodesic.mathdoc.fr/item/FPM_2001_7_1_a6/
LA - ru
ID - FPM_2001_7_1_a6
ER -
%0 Journal Article
%A A. N. Pavlikov
%T The Cesaro average for orthogonal-like decomposition systems with non-negative measure
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2001
%P 105-119
%V 7
%N 1
%U http://geodesic.mathdoc.fr/item/FPM_2001_7_1_a6/
%G ru
%F FPM_2001_7_1_a6
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.
