Geodesic
Local properties of sums of certain random series
Matematičeskie zametki, Tome 3 (1968) no. 3, pp. 261-269.

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Conditions are given which insure the uniform convergence of random series of the form $S(x)=\sum_{n=0}^\infty\xi_nP_n(x)$ , where $P_n(x)$ is a trigonometric polynomial of degree $n$. Conditions are also given under which $S(x)$ satisfies Hölder's conditions. 
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     author = {Yu. V. Kozachenko},
     title = {Local properties of sums of certain random series},
     journal = {Matemati\v{c}eskie zametki},
     pages = {261--269},
     publisher = {mathdoc},
     volume = {3},
     number = {3},
     year = {1968},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1968_3_3_a3/}
}
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Yu. V. Kozachenko. Local properties of sums of certain random series. Matematičeskie zametki, Tome 3 (1968) no. 3, pp. 261-269. http://geodesic.mathdoc.fr/item/MZM_1968_3_3_a3/