Skip to main content
SpringerLink
Log in

The ergodic theorem with time compression

  • Published:
Journal d’Analyse Mathématique Aims and scope

An Erratum to this article was published on 01 December 1990

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. A. Bellow and V. Losert,The weighted Pointwise Ergodic Theorem and the Individual Ergodic Theorem along subsequences, Trans. Am. Math. Soc. 288 (1985), 307–345.

    Article  MATH  MathSciNet  Google Scholar 

  2. V. Bergelson,Weakly mixing PET, to appear.

  3. V. Bergelson, H. Furstenberg and B. Weiss, to appear.

  4. M. Cotlar,A unified theory of Hilbert transforms and ergodic theorems, Rev. Mat. Cuyana1 (1955), 105–167.

    MathSciNet  Google Scholar 

  5. M. A. Krasnosel’skiî and Ya. B. Rutickiî,Convex Functions and Orlicz Spaces (transl. by L. Boron), P. Noordhoff Ltd., Groningen, 1961.

    Google Scholar 

  6. U. Krengel,Ergodic Theorems, de Gruyter, Berlin and New York, 1985.

    MATH  Google Scholar 

  7. A. Kufner, O. John and S. Fučik,Function Spaces, Noordhoff International Publishing, Leyden, 1977.

    MATH  Google Scholar 

  8. L. Kuipers and H. Niederreiter,Uniform Distribution of Sequences, John Wiley & Sons, New York, 1974.

    MATH  Google Scholar 

  9. J. Lindenstrauss and L. Tzafriri,Classical Banach Spaces I, Springer-Verlag, Berlin, 1977.

    MATH  Google Scholar 

  10. E. Parzen, ed.,Time Series Analysis of Irregularly Observed Data, Lecture Notes in Statistics25, Springer-Verlag, New York, 1984.

    MATH  Google Scholar 

  11. K. Petersen,Ergodic Theory, Cambridge University Press, Cambridge and New York, 1983.

    MATH  Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of North Carolina, 27599, Chapel Hill, NC, USA

    Karl Petersen

Authors
  1. Karl Petersen
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Research supported in part by NSF Grants DMS-8400730 and DMS-8620132.

While this paper was in preparation, this question was answered affirmatively by J. Bourgain.

An erratum to this article is available at http://dx.doi.org/10.1007/BF02789207.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Petersen, K. The ergodic theorem with time compression. J. Anal. Math. 51, 228–244 (1988). https://doi.org/10.1007/BF02791124

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02791124

Keywords

Search

Navigation