This article is cited in 4 papers

On unboundedly divisible distributions in Hilbert space

V. M. Kruglov

M. V. Lomonosov Moscow State University

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].

UDC: 513.88

Received: 15.11.1972

 English version: Mathematical Notes, 1974, 16:4, 940–946

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