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Generalized Gaussian random solutions of certain evolution equations

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Advances in Filtering and Optimal Stochastic Control

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 42))

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References

  1. Dawson, D. and Gorostiza, L.G. Limit theorems for supercritical branching random fields. In preparation.

    Google Scholar 

  2. Dudley, R.M. (1967). The sizes of compact subsets of Hilbert space and continuity of Gaussian processes, J. Functional Analysis, Vol. 1, 290–330.

    Google Scholar 

  3. Gelfand, I.M. and Vilenkin, N.J. (1966). Generalized Functions, Vol. 4, Academic Press, New York.

    Google Scholar 

  4. Gorostiza, L.G. (1981). Limites gaussiennes pour les champs aléatoires ramifiés supercritiques, in "Aspects Statistiques et Aspects Physiques des Processus Gaussiens", Colloque International du C.N.R.S., Saint-Flour, France, 1980. Editions du C.N.R.S. No. 307, 385–398.

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  5. Mitoma, I. (1981). On the norm-continuity of S'valued Gaussian processes, Nagoya Math. J., Vol. 82, 209–220.

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  6. Stroock, D.W. and Varadhan, S.R.S. (1979). Multidimensional Diffusion Processes, Springer-Verlag, Berlin.

    Google Scholar 

  7. Wong, E. and Zakai, M. (1974). Martingales and stochastic integrals for processes with a multi-dimensional parameter. Z. Wahrscheinlichkeitstheorie verw. Gebiete, Vol. 29, 109–122.

    Google Scholar 

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Authors and Affiliations

  1. Centro de Investigación y de Estudios Avanzados, IPN, México

    Luis G. Gorostiza

  2. Instituto de Investigación en Matemáticas Aplicadas y Sistemas, UNAM, México

    Luis G. Gorostiza

Authors
  1. Luis G. Gorostiza
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Wendell H. Fleming Luis G. Gorostiza

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© 1982 Springer-Verlag

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Gorostiza, L.G. (1982). Generalized Gaussian random solutions of certain evolution equations. In: Fleming, W.H., Gorostiza, L.G. (eds) Advances in Filtering and Optimal Stochastic Control. Lecture Notes in Control and Information Sciences, vol 42. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0004533

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  • DOI: https://doi.org/10.1007/BFb0004533

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11936-4

  • Online ISBN: 978-3-540-39517-1

  • eBook Packages: Springer Book Archive

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