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Matematicheskie Zametki, 1971, Volume 10, Issue 2, Pages 219–228 (Mi mzm9706)  
The relation between lebesgue integrable and Birkhoff–Khinchin summable functions

V. S. Shul'man

Institute of Mathematics and Mechanics, Academy of Sciences of the Azerbaidzhan SSR
Full-text PDF (786 kB)
Abstract: A necessary and sufficient condition is obtained for a transformation to satisfy the converse to the ergodic theorem.
Received: 21.08.1969
English version:
Mathematical Notes, 1971, Volume 10, Issue 2, Pages 553–558
DOI: https://doi.org/10.1007/BF01822881
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: V. S. Shul'man, “The relation between lebesgue integrable and Birkhoff–Khinchin summable functions”, Mat. Zametki, 10:2 (1971), 219–228; Math. Notes, 10:2 (1971), 553–558
Citation in format AMSBIB
\Bibitem{Shu71}
\by V.~S.~Shul'man
\paper The relation between lebesgue integrable and Birkhoff--Khinchin summable functions
\jour Mat. Zametki
\yr 1971
\vol 10
\issue 2
\pages 219--228
\mathnet{http://mi.mathnet.ru/mzm9706}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=289751}
\zmath{https://zbmath.org/?q=an:0217.38003}
\transl
\jour Math. Notes
\yr 1971
\vol 10
\issue 2
\pages 553--558
\crossref{https://doi.org/10.1007/BF01822881}
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