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Analytic functionals of Wiener process and absolute continuity

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Functional Analysis in Markov Processes

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 923))

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References

  1. Fukushima, M., Dirichlet forms and Markov processes, North-Holland/Kodansha, Tokyo, 1980.

    MATH  Google Scholar 

  2. Gunning, R.C., and Rossi, H., Analytic functions of several complex variables, Prentice-Hall Inc., London, 1965.

    MATH  Google Scholar 

  3. Ikeda, N., and Watanabe, S., Stochastic differential equations and diffusion processes, North-Holland/Kodansha, Tokyo, 1981.

    MATH  Google Scholar 

  4. Kusuoka, S., Dirichlet forms and diffusion processes on Banach spaces, to appear.

    Google Scholar 

  5. Kusuoka, S., The nonlinear transformation of Gaussian measure on Banach space and its absolute continuity (I), to appear.

    Google Scholar 

  6. Malliavin, P., Stochastic calculus of variation and hypoelliptic operators, Proc. Intern. Symp. SDE Kyoto 1976 (ed. by K. Ito), 195–263, Kinokuniya, Tokyo, 1978.

    Google Scholar 

  7. Meyer, P.A., Probability and potentials, Ginn Blaisdell, Massachusetts, 1966.

    MATH  Google Scholar 

  8. Nelson, E., The free Markoff field, J. Funct. Anal. 12 (1973), 211–227.

    Article  MathSciNet  MATH  Google Scholar 

  9. Sato, Y., Derivative of functional of white noise and its application (in Japanese), Master Thesis, University of Tokyo, 1977.

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  10. Shigekawa, I., Derivatives of Wiener functionals and and absolute continuity of induced measures, J. Math. Kyoto Univ. 20(1980), 263–289.

    MathSciNet  MATH  Google Scholar 

  11. Stroock, D.W., The Malliavin calculus and its application to second order parabolic differential equations.

    Google Scholar 

  12. Stroock, D.W., and Varadhan, S.R.S., On the support of diffusion processes with applications to the strong maximum principle, Proc. Sixth Berkeley Symp. Math. Statist. Prob. III, 333–359, Univ. California Press, Berkeley, 1972.

    MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics Faculty of Science, University of Tokyo, Tokyo, Japan

    Shigeo Kusuoka

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  1. Shigeo Kusuoka
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M. Fukushima

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© 1982 Springer-Verlag

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Kusuoka, S. (1982). Analytic functionals of Wiener process and absolute continuity. In: Fukushima, M. (eds) Functional Analysis in Markov Processes. Lecture Notes in Mathematics, vol 923. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0093035

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  • DOI: https://doi.org/10.1007/BFb0093035

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11484-0

  • Online ISBN: 978-3-540-39155-5

  • eBook Packages: Springer Book Archive

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