Перегляд за автором "Mazur, I.P."

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  • Mazur, I.P. (Журнал математической физики, анализа, геометрии, 2014)
    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 ...
  • Mazur, I.P. (Журнал математической физики, анализа, геометрии, 2013)
    By the Skitovich-Darmois theorem, the Gaussian distribution on the real line is characterized by the independence of two linear forms of n independent random variables. The theorem is known to fail for a compact connected ...