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Characterizing the Gaussian distribution on groups by the uniform distribution of a monomial and linear statistics

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Ukrainian Mathematical Journal Aims and scope

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Literature cited

  1. A. M. Kagan, J. V. Linnik, and C. R. Rao, Characterization Problems in Mathematical Statistics, Wiley, New York (1973).

    Google Scholar 

  2. K. R. Parthasarathy, R. Ranga Rao, and S. R. S. Varadhan, “Probability distributions on locally compact Abelian groups,” Matematika,9, No. 2, 115–146 (1965).

    Google Scholar 

  3. E. Hewitt and K. A. Ross, Abstract Harmonic Analysis, Vol. I, Springer, New York (1963).

    Google Scholar 

  4. E. Hewitt and K. A. Ross, Abstract Harmonic Analysis, Vol. II, Springer, New York (1970).

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  5. J. V. Linnik and I. V. Ostrovskii, Decomposition of Random Variables and Vectors, Am. Math. Soc, Providence (1977).

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Authors and Affiliations

  1. Low-Temperature Physicotechnical Institute, Academy of Sciences of the Ukrainian SSR, Khar'kov

    G. M. Fel'dman

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  1. G. M. Fel'dman
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 41, No. 8, pp. 1112–1118, August, 1989.

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Fel'dman, G.M. Characterizing the Gaussian distribution on groups by the uniform distribution of a monomial and linear statistics. Ukr Math J 41, 959–963 (1989). https://doi.org/10.1007/BF01058315

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  • DOI: https://doi.org/10.1007/BF01058315

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