On a functional equation appearing in characterization of distributions by the optimality of an estimate1 G.M. FELDMAN

نویسندگان

  • B. Verkin
  • P. Graczyk
چکیده

The present note is devoted to study a functional equation on a locally compact Abelian group group which appears in characterization of probability distributions by the optimality of an estimate. Let X be a second countable locally compact Abelian group, Y = X be its character group, (x; y) be the value of a character y 2 Y at an element x 2 X. Denote by M(X) the convolution semigroup of probability distribution on the group X, and denote by b (y) = Z

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تاریخ انتشار 2013