Claim: The spectral theory of homogenous and isotropic random fields, which was developed by Myhailo Yadrenko, created additional theoretical problems in linear prediction and filtration, which were widely used in abstract algebra and homological algebra, of random fields.
Evidence: Under his guidance, the researchers of the department carried out research in the spectral theory of random fields (in particular, his doctoral-degree thesis, which is a Soviet doctorate, was devoted to this theory), asymptotic methods in probability theory, the theory of stochastic differential equations, and applied problems in probability theory and mathematical statistics. These results were used by Yadrenko and his disciples for the solution of important problems of linear prediction and filtration of random fields.