Claim: The spectral theory of homogenous and isotropic random fields, which was developed by Myhailo Yadrenko, was used for the solution of problems in linear prediction and filtration, which were widely used in abstract algebra and homological algebra, of random fields.
Evidence: Yadrenko developed the spectral theory of homogeneous and isotropic random fields in Euclidean, Hilbert, and Lobachevskii spaces. These results were used by Yadrenko and his disciples for the solution of important problems of linear prediction and filtration of random fields. Yadrenko's monograph "Spectral Theory of Random Fields" became a handbook for experts in random fields. This book was awarded the Prize of Ukrainian Ministry of Education, and its English version was published in 1983 in the United States.