This article is cited in 2 papers

On systems of convergence

E. M. Nikishin


Abstract: 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.

UDC: 513.881

MSC: 40A30, 46B45, 28A33

Received: 02.01.1969

 English version: Mathematics of the USSR-Sbornik, 1970, 10:1, 21–36

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