Geodesic
On conditions of equivalence and perpendicularity of measures corresponding to homogeneous Gaussian fields
Teoriâ veroâtnostej i ee primeneniâ, Tome 18 (1973) no. 3, pp. 615-621

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Let $t=(t_1,\dots,t_n)\in T\subset\mathbf R^n$, $\mathbf R^n$ be an n-dimensional Euclidean space and let $\xi_1(t)$, $\xi_2(t)$ be homogenous Gaussian fields, $\nu_1$, $\nu_2$ be measures induced by $\xi_1(t)$, $\xi_2(t)$. In the paper, some conditions of equivalence and perpendicularity of $\nu_1$ and $\nu_2$ are obtained. 
@article{TVP_1973_18_3_a18,
     author = {S. M. Krasnits'kiǐ},
     title = {On conditions of equivalence and perpendicularity of measures corresponding to homogeneous {Gaussian} fields},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {615--621},
     publisher = {mathdoc},
     volume = {18},
     number = {3},
     year = {1973},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1973_18_3_a18/}
}
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S. M. Krasnits'kiǐ. On conditions of equivalence and perpendicularity of measures corresponding to homogeneous Gaussian fields. Teoriâ veroâtnostej i ee primeneniâ, Tome 18 (1973) no. 3, pp. 615-621. http://geodesic.mathdoc.fr/item/TVP_1973_18_3_a18/