Teoriâ veroâtnostej i ee primeneniâ, Tome 18 (1973) no. 3, pp. 615-621
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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/
@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},
year = {1973},
volume = {18},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1973_18_3_a18/}
}
TY - JOUR
AU - S. M. Krasnits'kiǐ
TI - On conditions of equivalence and perpendicularity of measures corresponding to homogeneous Gaussian fields
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1973
SP - 615
EP - 621
VL - 18
IS - 3
UR - http://geodesic.mathdoc.fr/item/TVP_1973_18_3_a18/
LA - ru
ID - TVP_1973_18_3_a18
ER -
%0 Journal Article
%A S. M. Krasnits'kiǐ
%T On conditions of equivalence and perpendicularity of measures corresponding to homogeneous Gaussian fields
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1973
%P 615-621
%V 18
%N 3
%U http://geodesic.mathdoc.fr/item/TVP_1973_18_3_a18/
%G ru
%F TVP_1973_18_3_a18
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.