Many-dimensional covariant random fields on commutative topological groups. (Russian) Zbl 0699.60009

Malyarenko, A. A.

Teor. Veroyatn. Mat. Stat., Kiev 41, 43-50 (1989).

The paper determines the general expression of the correlation operator B(\(\cdot)\) of a homogeneous covariant random field, continuous in quadratic mean, and defined on a topological group and having values in a Hilbert space.

Reviewer: I.Vladimirescu

MSC:

60B15	Probability measures on groups or semigroups, Fourier transforms, factorization
60G60	Random fields

Keywords:

correlation operator; homogeneous covariant random field