Skip to main content
SpringerLink
Log in

Un principe de sous-suites dans la théorie des probabilités

  • Conference paper
  • First Online:
Séminaire de Probabilités VI Université de Strasbourg

Part of the book series: Lecture Notes in Mathematics ((SEMPROBAB,volume 258))

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

Access this chapter

Log in via an institution

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Banach, S. et Saks, S. (1930) Sur la convergence forte dans les champs LP Studia Math. 2, 51–67.

    MATH  Google Scholar 

  2. Burkholder, D. L. (1966) Martingales transforms. Ann. Math. Statist. 37, 1494–1504.

    MATH  MathSciNet  Google Scholar 

  3. Burkholder, D. L. et Gundy R. F. (1970) Extrapolation and interpolation of quasi-linear operators on martingales. Acta Math. 124, 249–304.

    Article  MATH  MathSciNet  Google Scholar 

  4. Chatterji, S. D. (1969) An LP — convergence theorem. Ann. Math. Statist. 40, 1068–1070.

    MATH  MathSciNet  Google Scholar 

  5. Chatterji, S. D. (1969) Un théorème général de type ergodique. Colloque C.N.R.S. Probabilités sur les structures algébriques.

    Google Scholar 

  6. Chatterji, S. D. (1970) A général strong law. Inventiones Math. 9, 235–245.

    Article  MATH  MathSciNet  Google Scholar 

  7. Davis, B. (1970) On the integrability of the martingale square function. Israel J. Math. 8, 187–190.

    MATH  MathSciNet  Google Scholar 

  8. Hartman, P. et Wintner, A. (1941) On the law of the iterated logarithm. Amer. J. Math. 63, 169–176.

    Article  MATH  MathSciNet  Google Scholar 

  9. Komlòs, J. (1967) A generalization of a problem of Steinhaus. Acta Math. Acad. Sci. Hung. 18, 217–229.

    Article  MATH  Google Scholar 

  10. Morgenthaler, G. (1955) A central limit theorem for uniformly bounded orthonormal systems. Trans. Amer. Math. Soc. 79, 281–311.

    Article  MATH  MathSciNet  Google Scholar 

  11. Révész, P. (1965) On a problem of Steinhaus. Acta Math. Acad. Sci. Hung. 16, 310–318.

    Google Scholar 

  12. Salem, R. et Zygmund, A. (1947) On lacunary trigonometric series I. Proc. Nat. Acad. Sci. 33, 333–33

    Article  MATH  MathSciNet  Google Scholar 

  13. Salem, R. et Zygmund, A. (1954) Some properties of trigonometric series whose terms have random signs. Acta Math. 91, 245–301.

    Article  MATH  MathSciNet  Google Scholar 

  14. Stout, W. F. (1970) A martingale analogue of Kolmogorov’s law of the iterated logarithm. Z. Wahr. verw. Gab. 15, 279–290.

    Article  MATH  MathSciNet  Google Scholar 

  15. Strassen, V. (1966) A converse to the law of the iterated logarithm. Z. Wahr. verw. Geb. 4, 265–268.

    Article  MATH  MathSciNet  Google Scholar 

  16. Weiss, Mary (1959) On the law of the iterated logarith for uniformly bounded orthonormal systems. Trans. Amer. Math. Soc. 92, 531–553.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Départment de mathématiques Ecole polytechnique fédérale de Lausanne, Av. de Cour 26, 1007, Lausanne, Suisse

    S. D. Chatterji

Authors
  1. S. D. Chatterji
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

Copyright information

© 1972 Springer-Verlag

About this paper

Cite this paper

Chatterji, S.D. (1972). Un principe de sous-suites dans la théorie des probabilités. In: Séminaire de Probabilités VI Université de Strasbourg. Lecture Notes in Mathematics, vol 258. Springer, Berlin, Heidelberg . https://doi.org/10.1007/BFb0059462

Download citation

  • DOI: https://doi.org/10.1007/BFb0059462

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05773-4

  • Online ISBN: 978-3-540-37183-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation