On the interpolation of generalized homogeneous fields on locally compact Abelian groups. (Russian) Zbl 0593.60011

Ponomarenko, A. I.

Teor. Veroyatn. Mat. Stat. 31, 110-115 (1984).

Spectral conditions of interpolability of a finite-dimensional generalized homogeneous field on a locally compact Abelian group by observations of the field of compact sets are studied as well as the minimum condition of a one-dimensional generalized homogeneous field.

Reviewer: A.Grincevičius

MSC:

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

Keywords:

homogeneous field on a locally compact Abelian group