Geodesic
On systems of convergence
Sbornik. Mathematics, Tome 10 (1970) no. 1, pp. 21-36 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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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/

[1] W. Orlicz, “Über die Divergenz von allgemeinen Orthogonalreihen”, Studia Math., 4 (1933), 27–37

[2] P. P. Khalmosh, Lektsii po ergodicheskoi teorii, IL, Moskva, 1959

[3] E. M. Nikishin, “Rezonansnye teoremy dlya funktsionalnykh ryadov i posledovatelnostei”, DAN SSSR, 186:4 (1969), 773–775 | Zbl

[4] E. M. Nikishin, “O skhodimosti nekotorykh funktsionalnykh ryadov”, Izv. AN SSSR, seriya matem., 31:1 (1967), 15–26 | Zbl

[5] S. Kachmazh, G. Shteingauz, Teoriya ortogonalnykh ryadov, Fizmatgiz, Moskva, 1958

[6] E. M. Nikishin, “O sistemakh absolyutnoi skhodimosti”, Matem. sb., 74(116) (1967), 544–553 | Zbl