Geodesic
Distribution functions and trigonometric series with monotonically decreasing coefficients
Matematičeskie zametki, Tome 10 (1971) no. 1, pp. 3-10 Cet article a éte moissonné depuis la source Math-Net.Ru

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The order of the distribution function of the sum of a cosine series with monotonically decreasing coefficients is determined. Theorems concerning integrability and convergence are proved for certain integral classes. 
@article{MZM_1971_10_1_a0,
     author = {A. B. Gulisashvili},
     title = {Distribution functions and trigonometric series with monotonically decreasing coefficients},
     journal = {Matemati\v{c}eskie zametki},
     pages = {3--10},
     year = {1971},
     volume = {10},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1971_10_1_a0/}
}
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A. B. Gulisashvili. Distribution functions and trigonometric series with monotonically decreasing coefficients. Matematičeskie zametki, Tome 10 (1971) no. 1, pp. 3-10. http://geodesic.mathdoc.fr/item/MZM_1971_10_1_a0/