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Russian Mathematical Surveys, 2020, Volume 75, Issue 3, Pages 393–425
DOI: https://doi.org/10.1070/RM9940 (Mi rm9940) 		 
This article is cited in 4 scientific papers (total in 5 papers)

Non-uniform Kozlov–Treschev averagings in the ergodic theorem

V. I. Bogachevab

a Lomonosov Moscow State University
b National Research University Higher School of Economics
English version PDF (727 kB) Citations (5)
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DOI: https://doi.org/10.1070/RM9940
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.
Keywords: ergodic theorem, operator semigroup, averaging of a semigroup.
Funding agency Grant number
Russian Foundation for Basic Research 18-31-20008
20-01-00432
Foundation for the Advancement of Theoretical Physics and Mathematics BASIS 18-1-6-83-1
Moscow Center of Fundamental and Applied Mathematics
This research was supported by the Russian Foundation for Basic Research (grants nos. 18-31-20008 and 20-01-00432), Moscow Center of Fundamental and Applied Mathematics, and the Foundation for the Advancement of Theoretical Physics and Mathematics BASIS (grant no. 18-1-6-83-1).
Received: 02.03.2020
Russian version:
Uspekhi Matematicheskikh Nauk, 2020, Volume 75, Issue 3(453), Pages 3–36
DOI: https://doi.org/10.4213/rm9940
Bibliographic databases:
Document Type: Article
UDC: 517.5+519.2
MSC: Primary 37A30; Secondary 28D10
Language: English
Original paper language: Russian
Citation: V. I. Bogachev, “Non-uniform Kozlov–Treschev averagings in the ergodic theorem”, Uspekhi Mat. Nauk, 75:3(453) (2020), 3–36; Russian Math. Surveys, 75:3 (2020), 393–425
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
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    English version PDF:22
    References:79
    First page:58
     
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