Geodesic
On a~theorem of S.\,N.~Bernshtein
Matematičeskie zametki, Tome 6 (1969) no. 3, pp. 301-307.

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This note contains the proof of a theorem on the characterization of a normal law on locally compact Abelian groups, this theorem being a generalization of S. N. Bernshtein's wellknown characterization of the normal law by the property that sums and differences of two independent random variables are also random variables. 
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     author = {A. L. Rukhin},
     title = {On a~theorem of {S.\,N.~Bernshtein}},
     journal = {Matemati\v{c}eskie zametki},
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     number = {3},
     year = {1969},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1969_6_3_a6/}
}
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A. L. Rukhin. On a~theorem of S.\,N.~Bernshtein. Matematičeskie zametki, Tome 6 (1969) no. 3, pp. 301-307. http://geodesic.mathdoc.fr/item/MZM_1969_6_3_a6/