Geodesic
Some extensions of the Darmois--Skitovich and Kagan Theorems to classes of the generalized random variables
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 2 (1995), pp. 463-488.

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The Darmois–Skitovich Theorem and its generalization that was given by Kagan are transferred on a class of complex-valued random variables. They are also extended on wide classes of generalized random variables for which functions of bounded variation are taken instead of distribution functions. 
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     author = {G. P. Chistyakov and S. Yu. Pergamentsev},
     title = {Some extensions of the {Darmois--Skitovich} and {Kagan} {Theorems} to classes of the generalized random variables},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
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     volume = {2},
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G. P. Chistyakov; S. Yu. Pergamentsev. Some extensions of the Darmois--Skitovich and Kagan Theorems to classes of the generalized random variables. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 2 (1995), pp. 463-488. http://geodesic.mathdoc.fr/item/JMAG_1995_2_a16/