Geodesic
On the divisors of infinitely divisible distributions admitting a~Cartesian product representation
Teoriâ veroâtnostej i ee primeneniâ, Tome 27 (1982) no. 4, pp. 772-777

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Let $n$-dimensional ($n\ge 2$) infinitely divisible distribution $P$ admits a representation in the form of Cartesian product of one-dimensional distributions. Let $P$ be also a convolution of two $n$-dimensional distributions $Q$ and $S$. We study the conditions under which the distributions $Q$ and $S$ must be the Cartesian products too. 
@article{TVP_1982_27_4_a11,
     author = {I. V. Ostrovskiǐ},
     title = {On the divisors of infinitely divisible distributions admitting {a~Cartesian} product representation},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {772--777},
     publisher = {mathdoc},
     volume = {27},
     number = {4},
     year = {1982},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1982_27_4_a11/}
}
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I. V. Ostrovskiǐ. On the divisors of infinitely divisible distributions admitting a~Cartesian product representation. Teoriâ veroâtnostej i ee primeneniâ, Tome 27 (1982) no. 4, pp. 772-777. http://geodesic.mathdoc.fr/item/TVP_1982_27_4_a11/