Geodesic
The Cesaro average for orthogonal-like decomposition systems with non-negative measure
Fundamentalʹnaâ i prikladnaâ matematika, Tome 7 (2001) no. 1, pp. 105-119
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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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     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/}
}
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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/