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A necessary and sufficient condition for the validity of the local ergodic theorem

Part of the Lecture Notes in Mathematics book series (LNM,volume 89)

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References

  1. Doob, J. L.: One parameter families of transformations, Duke Math. J. 4, (1938), 752–774.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. Dynkin, E. B.: Markov Processes I, Grundlehren, Springer, Heidelberg (1965).

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  3. Krengel, U.: Darstellungssätze für Strömungen und Halbströmungen II, Math. Annalen, to appear.

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  4. v. Neumann, J.: Über einen Satz von Herrn M.H. Stone, Annals of Math., 33, (1932), 568–569.

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  5. Wiener, N.: The ergodic theorem, Duke Math. J., 5, (1939), 1–18.

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© 1969 Springer-Verlag

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Krengel, U. (1969). A necessary and sufficient condition for the validity of the local ergodic theorem. In: Behara, M., Krickeberg, K., Wolfowitz, J. (eds) Probability and Information Theory. Lecture Notes in Mathematics, vol 89. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0079124

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  • DOI: https://doi.org/10.1007/BFb0079124

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-04608-0

  • Online ISBN: 978-3-540-36098-8

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