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An approach to pointwise ergodic theorems

Part of the Lecture Notes in Mathematics book series (LNM,volume 1317)

Keywords

  • Maximal Function
  • Ergodic Theorem
  • Maximal Inequality
  • Pointwise Ergodic Theorem
  • Multiplicative Number Theory

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References

  1. J. Bourgain, On pointwise ergodic theorems for arithmetic sets, CRA Sc. Paris, t305, Ser 1, 397–402, 1987.

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  2. J. Bourgain, On the maximal ergodic theorems for certain subsets of the integers, Israel J. Math. 61 (1988).

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  3. J. Bourgain, On the pointwise ergodic theorems on L p for arithmetic sets, Israel J. Math. 61 (1988).

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  4. J. Bourgain, On high dimensional maximal functions associated to convex sets. American J. Math. 108, 1986, 1467–1476.

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  5. A. Bellow, V. Losert, On sequences of desity zero in Ergodic Theory, Contemporary Math. 26, 1984, 49–60.

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  6. A. Bellow, V. Losert, The weighted pointwise ergodic theorem and the individual ergodic theorems along subsequences. TAMS 288, 1985, 307–355.

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  7. H. Davenport, Multiplicative number theory, Springer-Verlag 1980.

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  8. Y. Katznelson, B. Weiss, A simple proof of some ergodic theorems, Israel J. Math., 42, N4, 1982.

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  9. B. Weiss, private communications.

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© 1988 Springer-Verlag

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Bourgain, J. (1988). An approach to pointwise ergodic theorems. In: Lindenstrauss, J., Milman, V.D. (eds) Geometric Aspects of Functional Analysis. Lecture Notes in Mathematics, vol 1317. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0081742

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  • DOI: https://doi.org/10.1007/BFb0081742

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-19353-1

  • Online ISBN: 978-3-540-39235-4

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