Geodesic
About one of Uljanov's theorems
Fundamentalʹnaâ i prikladnaâ matematika, Tome 5 (1999) no. 4, pp. 1159-1166.

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{FPM_1999_5_4_a10,
     author = {B. V. Simonov},
     title = {About one of {Uljanov's} theorems},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {1159--1166},
     publisher = {mathdoc},
     volume = {5},
     number = {4},
     year = {1999},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_1999_5_4_a10/}
}
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B. V. Simonov. About one of Uljanov's theorems. Fundamentalʹnaâ i prikladnaâ matematika, Tome 5 (1999) no. 4, pp. 1159-1166. http://geodesic.mathdoc.fr/item/FPM_1999_5_4_a10/