Geodesic
The structure of infinitely divisible distributions on a~bicompact Abelian group
Teoriâ veroâtnostej i ee primeneniâ, Tome 20 (1975) no. 4, pp. 712-724

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Any probability distribution can be written in the form $$ F=\alpha_1F_1+\alpha_2F_2+\alpha_3F_3,\quad\alpha_j\ge0,\quad\alpha_1+\alpha_2+\alpha_3=1, $$ where $F_1$ is an absolutely continuous, $F_2$ a singular and $F_3$ a discrete probability distribution. We consider the following problem: what properties of the spectral measure of an infinitely divisible distribution $F$ involve $\alpha_j>0$ ($j=1,2,3$)? 
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     author = {V. M. Zolotarev and V. M. Kruglov},
     title = {The structure of infinitely divisible distributions on a~bicompact {Abelian} group},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
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     volume = {20},
     number = {4},
     year = {1975},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1975_20_4_a1/}
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V. M. Zolotarev; V. M. Kruglov. The structure of infinitely divisible distributions on a~bicompact Abelian group. Teoriâ veroâtnostej i ee primeneniâ, Tome 20 (1975) no. 4, pp. 712-724. http://geodesic.mathdoc.fr/item/TVP_1975_20_4_a1/