About one of Uljanov's theorems
Fundamentalʹnaâ i prikladnaâ matematika, Tome 5 (1999) no. 4, pp. 1159-1166
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Say that the sequence defined through the function $\alpha(t)$ satisfies the condition (B), if it is a Weyle's factor. The problem of the condition's (B) equivalence to the convergence of integral expressed through the function $\alpha(t)$ and through the fractional symmetric differences has been discussed in the article.