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On a Characterization of the Haar Distribution on Compact Abelian Groups I. P. Mazur B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, 47 Lenin Ave., Kharkiv 61103, Ukraine Abstract: 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. Key words and phrases: compact Abelian group, linear form. DOI: https://doi.org/10.15407/mag10.01.126   Full text:
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MSC: 39B99, 43A25, 60B15, 62E10 Received: 12.11.2013 Language: Citation: I. P. Mazur, “On a Characterization of the Haar Distribution on Compact Abelian Groups”, Zh. Mat. Fiz. Anal. Geom., 10:1 (2014), 
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