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Teoriya Veroyatnostei i ee Primeneniya, 1966, Volume 11, Issue 1, Pages 170–179
(Mi tvp577)
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This article is cited in 6 scientific papers (total in 6 papers)
Short Communications
On the densities of Gaussian measures and Wiener–Hopf's integral equations
Yu. A. Rozanov Moscow
Abstract:
In this paper we solve the problem about equivalence of Gaussian stationary measures $P(d\omega)$ and $P_1(d\omega)$ with correlation functions $B(t)$ and $B_1(t)$ respectively (theorem 1). We also consider the integral equations (1) and (6) and give conditions for the existence of solution of these equations (theorem 2).
Received: 16.09.1965
Citation:
Yu. A. Rozanov, “On the densities of Gaussian measures and Wiener–Hopf's integral equations”, Teor. Veroyatnost. i Primenen., 11:1 (1966), 170–179; Theory Probab. Appl., 11:1 (1966), 152–160
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