Geodesic
On~systems of convergence
Sbornik. Mathematics, Tome 10 (1970) no. 1, pp. 21-36

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In this paper we shall give necessary and sufficient conditions for a system of measurable functions to be a system of convergence, in various senses of this expression. Sharper results will be given for systems $\{\varphi(nx)\}$. Bibliography: 6 titles. 
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     author = {E. M. Nikishin},
     title = {On~systems of convergence},
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E. M. Nikishin. On~systems of convergence. Sbornik. Mathematics, Tome 10 (1970) no. 1, pp. 21-36. http://geodesic.mathdoc.fr/item/SM_1970_10_1_a1/