Abstract
Abstract
Generalizations and refinements are given for results of Kozlov and Treschev on non-uniform averagings in the ergodic theorem in the case of operator semigroups on spaces of integrable functions and semigroups of measure-preserving transformations. Conditions on the averaging measures are studied under which the averages converge for broad classes of integrable functions.
Bibliography: 96 items.
Funder
Russian Foundation for Basic Research
Foundation for the Advancement of Theoretical Physics and Mathematics BASIS
Moscow Center of Fundamental and Applied Mathematics
Cited by
2 articles.
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