Skip to main content

Part of the book series: Mathematics and Its Applications ((MAIA,volume 19))

Abstract

The infinite dimensional filtering theory is today well developped and important theoretical and practical problems in this aera have been solved: see for example the present volume and [4], [6], [11].

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

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 16.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. S. Albeverio and R. Høegh-Krohn, Z. Wahrsch-Verw. Gebiete 40 (1977) pp.1–57.

    Article  MATH  Google Scholar 

  2. P. Bernard, M. Fogli et C. Wagner. Actes des journées (Juin 1984) de mécanique aléatoire appliquées à la construction. Edited by AFREM and the Lab. Cent, des Ponts et Ch. (Paris) pp.157–165.

    Google Scholar 

  3. P. Bernard, P. Fogli, M. Bressolette, P. Lemaire To appear in Journal de Méc. Théor. et Appl.

    Google Scholar 

  4. R.F. Curtain and A.J. Pritchard Lect. Notes in Control and Inf. Science vol.8 (1978) Springer Verlag.

    Google Scholar 

  5. J. Diebolt. CR. Acad. Sc. Paris t.296 (Juin 1983) Serie I, PP.837–840.

    MathSciNet  Google Scholar 

  6. W.H. Fleming and L.G. Gorostiza Editors: Lecture Notes in Control and Information Sciences n°42. Springer Verlag 1982.

    Google Scholar 

  7. B. Gaveau. GR. Acad. Sc. Paris t.293 (Novembre 1981) Serie I. pp.469–472.

    MathSciNet  Google Scholar 

  8. I.M. Gelfand and N.Y. Vilenkin. Les distributions, tome 4. Dunod Paris (1967).

    Google Scholar 

  9. J.L. Guilkman et A. Skorokhod. Introduction à la théorie des processus aléatoires. Ed. MIR Moscou. 1977–1980.

    Google Scholar 

  10. R.Z. Hasminskii. Stochastic stability of differential equations. Sijthoff and Noordhoff (1980).

    Google Scholar 

  11. M. Hazewinkel and J.C. Willems. Editors: Stochastic Systems ... Reidel (1981).

    Google Scholar 

  12. K. Ito in Stochastic Analysis. North Holland 1984, pp.197–224.

    MATH  Google Scholar 

  13. P. Krée and C. Soize. Mécanique aléatoire. Dunod Paris (1983) English translation in course by D. Reidel.

    MATH  Google Scholar 

  14. P. Krée. Journ. of Math. Phys. 24(11) Novembre 1983. pp.2573–2580.

    Article  MATH  Google Scholar 

  15. M. and P. Krée. CR. Acad. Sc. Paris t296 (Juin 1983) Serie I. pp.833–836.

    Google Scholar 

  16. P. Krée. CR. Acad. Sc. Paris, t.296 (Janvier 1983) Serie I. pp.223–225.

    Google Scholar 

  17. P. Krée in Sem. P. Lelong I Lecture Notes in Mathematics (Springer Verlag) n°410 (1973).

    Google Scholar 

  18. P. Krée in Sem. P. Lelong II Lecture Notes in Mathematics n°474 (1974) pp.2.47

    Google Scholar 

  19. P. Krée Journ. of Funct. Anal. Vol.31 n°2 (1979) pp.150–186

    Article  MATH  Google Scholar 

  20. P. Krée.Séminaire sur les ed.p en dim. infinie 1974–1975. Edited by Secrétariat math, of the H. Poincaré Institute (Paris)

    Google Scholar 

  21. S. Kusuoka. J. Fac. Sci. Univ. Tokyo 29 (1982) pp.79–85.

    MathSciNet  MATH  Google Scholar 

  22. J.T. Lewis and L.C. Thomas. Wahrsch. Verw. Geb. 30, pp.45–55 (1974).

    Article  MathSciNet  MATH  Google Scholar 

  23. P. Malliavin in Proc. Int. Symp. on SDE (1976) Kyoto ed. bt K. Ito Konokoniya, Tokyo (1978)

    Google Scholar 

  24. P. Malliavin in Stochastic Analysis ed. by K. Ito North Holland (1984) pp.369–386.

    Google Scholar 

  25. P.A. Meyer. Manuscript received by P. Malliavin in may 1983 and published in Sem. of Probability XVIII Lecture Notes n° 1059 pp. 179–193. Springer Verlag (1984).

    Google Scholar 

  26. P.A. Meyer. The “Malliavin Calculus” and some pedagogy. to appear in Sem of Probability (Lect. Notes).

    Google Scholar 

  27. P. Paclet. Expose 5 in Sém. P. Krée. 1977–1978. Edited by Secrétariat Math, of the H. Poincaré Institute (Paris).

    Google Scholar 

  28. C. Soize. Actes des journées (Juin 1984, Paris) de mécanique aléatoire appliquée à la Construction. Edited by AFREM and the Lab. Cent, des Ponts et Ch. (Paris) pp.24–31.

    Google Scholar 

  29. S. Watanabe. In Lect. Notes in Control and Inf. Science n°49 (1983) p.284–290, Springer Verlag. Berlin

    Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1985 D. Reidel Publishing Company

About this chapter

Cite this chapter

Krée, P. (1985). Markovianization of Random Vibrations. In: Arnold, L., Kotelenez, P. (eds) Stochastic Space—Time Models and Limit Theorems. Mathematics and Its Applications, vol 19. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-5390-1_7

Download citation

  • DOI: https://doi.org/10.1007/978-94-009-5390-1_7

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8879-4

  • Online ISBN: 978-94-009-5390-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics