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On unboundedly divisible distributions in Hilbert space

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Abstract

We establish a connection between the existence of integrals with respect to unboundedly divisible probability distributions in Hilbert space and the existence of integrals of functions from a certain class of functions with respect to their spectral measures. The results obtained in the present note constitute a strengthening of the propositions advanced by the author in [1].

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Literature cited

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Authors and Affiliations

  1. M. V. Lomonosov Moscow State University, USSR

    V. M. Kruglov

Authors
  1. V. M. Kruglov
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Translated from Matematicheskie Zametki, Vol. 16, No. 4, pp. 585–594, October, 1974.

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Kruglov, V.M. On unboundedly divisible distributions in Hilbert space. Mathematical Notes of the Academy of Sciences of the USSR 16, 940–946 (1974). https://doi.org/10.1007/BF01104260

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  • DOI: https://doi.org/10.1007/BF01104260

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