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Linear extrapolation concerning Hilbert valued planar functions

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Stochastic Analysis and Related Topics II

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

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References

  1. R. Cairoli, J.B. Walsh: Stochastic Integrals in the Plane, Acta Math. 134, no. 1–2 (1975), p. 11–183.

    MathSciNet  MATH  Google Scholar 

  2. E. Carnal: Markov Properties for certain Random Fields, unpublished (1981).

    Google Scholar 

  3. L. Carraro: Problèmes de prédiction pour le processus de Wiener à plusieurs paramètres, Probab. Th. Rel. Fields, no. 72 (1986), p. 619–635.

    Google Scholar 

  4. L. Carraro: Etude de la covariance de quelques processus gaussiens en liaison avec la propriété de Markov. Preprint.

    Google Scholar 

  5. R.C. Dalang, F. Russo: A Prediction Problem for the Brownian Sheet, J. of Multiv. Analysis, 26, no. 1, (1988), p. 16–47.

    Article  MathSciNet  MATH  Google Scholar 

  6. P.R. Halmos: Introduction to Hilbert Spaces and the Theory of Spectral Multiplicity, Chelsea Publishing, N.Y. (1951).

    MATH  Google Scholar 

  7. V. Mandrekar: Germ-Field Markov Property for Multiparameter Processes, Sém. de Prob. X, Lect. N. in Math. 511, Springer Verlag (1976), p. 78–85

    Google Scholar 

  8. H.P. McKean: Brownian Motion with a Several-dimensional time, Th. Prob. Appl. 8 (1963), p. 335–354.

    Article  MathSciNet  MATH  Google Scholar 

  9. D. Nualart: Propriedad de Markov para funciones aleatorias gaussianas, Cuadernos de Estadistica Matematica de la Universidad de Granada, Serie A, Probabilidad, no. 5, (1980), p. 30–43.

    Google Scholar 

  10. M. Röckner: Generalized Markov Fields and Dirichlet Forms, Acta Applic. Math. 3 (1985), p. 285–311.

    Article  MathSciNet  MATH  Google Scholar 

  11. Ju. Rozanov: Markov Random Fields, Springer Verlag (1982).

    Google Scholar 

  12. Ju. Rozanov: Boundary Problems for Stochastic Partial Differential Equations, BIBOS preprint no. 108.

    Google Scholar 

  13. F. Russo: Etude de la propriété de Markov étroite en relation avec les processus planaires à accroissements indépendants, Sém. de Prob. XVIII, Lect. N. in Math. 1059, Springer Verlag (1984), p. 353–387.

    Google Scholar 

  14. F. Russo: A Prediction Problem for Gaussian Planar Processes which are Markovian with respect to Increasing and Decreasing Paths, Lect. N. in Control and Information Science 96 (1987), p. 88–98.

    Article  MATH  Google Scholar 

  15. F. Russo: Champs markoviens et prédiction, Thèse de doctorat ès sciences, no. 707, EPFL Lausanne, (1987).

    Google Scholar 

  16. J.B. Walsh: Cours de troisième cycle, Univ. de Paris 6, 1976–77

    Google Scholar 

  17. J.B. Walsh: An Introduction to Stochastic Partial Differential Equations, Ecole d’été de Saint-Flour XIV-1984, Lect. N. in Math., Springer Verlag (1986).

    Google Scholar 

  18. E. Wong, M. Zakai: Markov Processes in the Plane, Stochastics 15, no. 4 (1985), p. 311–333.

    Article  MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Département Réseaux, Ecole Nationale Supérieure des Télécommunications, 46, Rue Barrault, F - 75634, Paris Cedex 13

    Francesco Russo

  2. Universität Bielefeld, Forschungszentrum BIBOS, D - 4800, Bielefeld 1

    Francesco Russo

Authors
  1. Francesco Russo
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Hayri Korezlioglu Ali Suleyman Ustunel

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© 1990 Springer-Verlag

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Russo, F. (1990). Linear extrapolation concerning Hilbert valued planar functions. 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/BFb0083619

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  • DOI: https://doi.org/10.1007/BFb0083619

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53064-0

  • Online ISBN: 978-3-540-46596-6

  • eBook Packages: Springer Book Archive

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