Geodesic
On a Characterization of the Haar Distribution on Compact Abelian Groups
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 10 (2014) no. 1, pp. 126-133
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We prove a theorem which characterizes the Haar distribution on a compact Abelian group by the independence of n linear forms of n independent random variables. The coefficients of the forms are continuous endomorphisms of the group. 
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I. P. Mazur. On a Characterization of the Haar Distribution on Compact Abelian Groups. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 10 (2014) no. 1, pp. 126-133. http://geodesic.mathdoc.fr/item/JMAG_2014_10_1_a3/

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