A weighted pointwise ergodic theorem

I. Assani

Annales de l'I.H.P. Probabilités et statistiques (1998)

  • Volume: 34, Issue: 1, page 139-150
  • ISSN: 0246-0203

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Assani, I.. "A weighted pointwise ergodic theorem." Annales de l'I.H.P. Probabilités et statistiques 34.1 (1998): 139-150. <http://eudml.org/doc/77591>.

@article{Assani1998,
author = {Assani, I.},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {weighted pointwise ergodic theorem; spectral measure; measure-preserving transformation; pointwise convergence; weighted averages},
language = {eng},
number = {1},
pages = {139-150},
publisher = {Gauthier-Villars},
title = {A weighted pointwise ergodic theorem},
url = {http://eudml.org/doc/77591},
volume = {34},
year = {1998},
}

TY - JOUR
AU - Assani, I.
TI - A weighted pointwise ergodic theorem
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1998
PB - Gauthier-Villars
VL - 34
IS - 1
SP - 139
EP - 150
LA - eng
KW - weighted pointwise ergodic theorem; spectral measure; measure-preserving transformation; pointwise convergence; weighted averages
UR - http://eudml.org/doc/77591
ER -

References

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  1. [1] I. Assani, Strong laws for weighted sums of independently identically distributed random variables, Duke Mathematical Journal, Vol. 88, 1997, pp. 217-246. Zbl0883.60023MR1455518
  2. [2] J. Bourgain, H. Furstenberg, Y. Katznelson and D. Ornstein, Return times of dynamical systems Appendix to J. Bourgain, Pointwise Ergodic Theorems for Arithmetic Sets, I.H.E.S., Vol. 69, 1989, pp. 5-45. Zbl0705.28008MR1019960
  3. [3] A. Bellow, R. Jones and J. Rosenblatt, Convergence for moving averages, Ergod. Th. & Dynam. Sys., Vol. 10, 1990, pp. 43-62. Zbl0674.60035
  4. [4] A. Bellow and V. Losert, The weighted pointwise ergodic theorem and the individual ergodic theorem along subsequences, Trans. Amer. Math. Soc., Vol. 288, 1985, pp. 307-345. Zbl0619.47004MR773063
  5. [5] R. Salem and A. Zygmund, Some properties of trigonometric series whose terms have random signs, Acta. Math., Vol. 91, 1954, pp. 245-301. Zbl0056.29001MR65679

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