Skip to main content

A new class of distributions on Wiener spaces

  • Conference paper
  • First Online:
Stochastic Analysis and Related Topics II

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1444))

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 69.99
Price excludes VAT (USA)
  • Compact, lightweight 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. T.Hida:Stationary Processes. Princeton Univ.Press, 1970.

    Google Scholar 

  2. P. Krée: "La théorie des distributions en dimension quelconque et l’intégration stochastique". In Stochastic Analysis and Related Topics,Silivri 1986. Lect. Notes in Math., Vol.1316,p.131–170.Springer,1988.

    MATH  Google Scholar 

  3. I.Kubo and Y.Yokoi: "A remark on the space of testing random variables in the white noise calculus". Preprint.

    Google Scholar 

  4. H.H. Kuo:"Brownian motion, diffusions and infinite dimensional calculus". In Stochastic Analysis and Related Topics, Silivri 1986. Lect.Notes in Math., Vol.1316,p.81–130.Springer,1988.

    MathSciNet  MATH  Google Scholar 

  5. P.Malliavin: "Stochastic calculus of variations and hypoelliptic operators". Proc.Inter.Symp.SDE, Kyoto, p.195–263(1976).

    Google Scholar 

  6. P.A. Meyer: "transformation de Riesz pour les lois gaussiennes". Sém.de Proba. XVIII, p.179–193. Lect.Notes in Math. Vol.1059. Springer,1983.

    Google Scholar 

  7. P.A. Meyer and J.A. Yan: "A propos des distributions sur l’espace de Wiener". Sém.de proba.XXI.p.8–26. Lect. Notes in Math. Vol.1247. Springer, 1987.

    MathSciNet  MATH  Google Scholar 

  8. P.A.Meyer and J.A.Yan: "Distributions sur l’espace de Wiener(suite) d’après I.Kubo et Y.Yokoi". Preprint, to appear in Sém. de Probabilités.

    Google Scholar 

  9. D.Nualart and A.S.Ustunel: "Mesures cylindriques et distributions sur l’espace de Wiener". To appear in the Proceedings of SPDE of Trento, Lect.Notes in Math. Springer.

    Google Scholar 

  10. D. Nualart and M. Zakai: "Generalized multiple stochastic integrals and the representation of Wiener functionals". Stochastics, Vol. 23, p.311–330 (1988).

    Article  MathSciNet  MATH  Google Scholar 

  11. D.Nualart,A.S.Ustunel and M.Zakai: "Some relations among classes of sigma fields on Wiener space". Preprint.

    Google Scholar 

  12. B.Simon: The P(φ)2 Euclidean (Quantum) Field Theory. Princeton University Press,1974.

    Google Scholar 

  13. A.S. Ustunel: "Construction du calcul stochastique sur un espace de Wiener abstrait". C.R.Acad.Sci.Paris, t.305,Sér.I, p.279–282 (1987).

    MathSciNet  MATH  Google Scholar 

  14. A.S. Ustunel: "Representation of the distributions on Wiener space and Stochastic Calculus of Variations". Jour.ofFunc.Analysis. Vol.70,p.126–139(1987).

    Article  MathSciNet  MATH  Google Scholar 

  15. A.S. Ustunel: "The Ito formula for anticipative processes with nonmonotonous time via the Malliavin Calculus". Proba.Th. and Rel.Fields, vol.79, p.249–269(1988).

    Article  MathSciNet  MATH  Google Scholar 

  16. A.S.Ustunel and M.Zakai:"On the structure of independence on Wiener space".Preprint,to appear in Jour.of Funct. Analysis.

    Google Scholar 

  17. S.Watanabe: Stochastic Differential Equations and Malliavin Calculus. Tata Inst.of Fund. Research.Bombay,1984.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Hayri Korezlioglu Ali Suleyman Ustunel

Rights and permissions

Reprints and permissions

Copyright information

© 1990 Springer-Verlag

About this paper

Cite this paper

Korezlioglu, H., Ustunel, A.S. (1990). A new class of distributions on Wiener spaces. In: Korezlioglu, H., Ustunel, A.S. (eds) Stochastic Analysis and Related Topics II. Lecture Notes in Mathematics, vol 1444. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083611

Download citation

  • DOI: https://doi.org/10.1007/BFb0083611

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53064-0

  • Online ISBN: 978-3-540-46596-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics