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Journal of Soviet Mathematics

, Volume 49, Issue 6, pp 1298–1301 | Cite as

Unique determination of the convolutions of measures in Rm,m⩾2, by their restriction to a set

  • A. M. Ulanovskii
Article

Abstract

Restrictions are indicated on a complex-valued measure Μ in the spaceR m ,m ⩾ 2., under which the n-fold convolution Μn*,n ⩾ 2, is uniquely determined by its values on any semispacex1<r, rR.

Keywords

Convolution Unique Determination 
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Literature cited

  1. 1.
    I. A. Ibragimov, “On the determination of an infinitely divisible distribution function from its values on a semiline,” Teor. Veroyatn. Primen.,22, No. 2, 393–399 (1977).Google Scholar
  2. 2.
    A. N. Titov, “On the determination of a convolution of identical distribution functions from its values on a half line,” Teor. Veroyatn. Primen.,26, No. 3, 610–611 (1981).Google Scholar
  3. 3.
    M. M. Blank, “On distributions whose convolutions coincide on a semiaxis,” Teor. Funktsional. Anal. i Prilozhen. (Kharkov), No. 41, 17–25 (1984).Google Scholar
  4. 4.
    I. V. Ostrovskii, “Generalization of the Titchmarsh convolution theorem and the complex-valued measures uniquely determined by their restrictions to a half-line,” Lecture Notes in Math., No. 1155, Springer, Berlin (1985).Google Scholar
  5. 5.
    A. I. Il'inskii, “The normality of a multidimensional infinitely divisible distribution which coincides with a normal distribution in a cone,” Lect. Notes in Math., No. 1155, Springer, Berlin (1985).Google Scholar
  6. 6.
    Yu. V. Linnik (Ju. V. Linnik) and I. V. Ostrovskii, Decomposition of Random Variables and Vectors, Am. Math. Soc., Providence (1977).Google Scholar

Copyright information

© Plenum Publishing Corporation 1990

Authors and Affiliations

  • A. M. Ulanovskii

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