On absolute continuity of multidimensional symmetrizable diffusions

J. Deny and J. L. Lions, Les espaces du type de Beppo Levi, Ann. Inst. Fourier, 5 (1953/54), 305–370.
Article MathSciNet MATH Google Scholar
M. Fukushima, Dirichlet forms and Markov Processes, Kodansha and North Holland, 1980.
Google Scholar
M. Fukushima, On a representation of local martingal additive functionals of symmetric diffusions, Proc. of the LMS Durham Symp. on Stochastic Integrals, Lecture Notes in Math., 851. Springer, 1981.
Google Scholar
M. Fukushima, On a stochstic calculus related to Dirichlet forms and distorted Brownian motions, Physics Reprots 502 (New Stochastic Methods in Physics), North Holland, 1981.
Google Scholar
M. Fukushima, Markov processes and functional analysis, Proceedings of International Mathematical Conference, Singapore, North Holland, to appear.
Google Scholar
N. Ikeda and S. Watanabe, Stochastic differential equations and diffusion processes, Kodansha and North Holland, 1981.
Google Scholar
K. Ito and H. P. McKean, Diffusion processes and their sample paths, Springer, 1965.
Google Scholar
T. Kailath and M. Zakai, Absolute continuity and Radon-Nikodym derivatives for certain measures relative to Wiener measure, Ann. Math. Statist. 42 (1971), 130–140.
Article MathSciNet MATH Google Scholar
S. Orey, Conditions for the absolute continuity of two diffusions, Trans. Amer. Math. Soc. 193 (1974), 413–426.
Article MathSciNet MATH Google Scholar
S. Orey, Radon-Nikodym derivatives of probability measures: martingale methods, Tokyo Univ. of Education, 1974.
Google Scholar
D. Stroock, The Malliavin calculus and its application to second order parabolic differential equations (I), Math. Systems Theory, 14 (1981), 25–65.
Article MathSciNet MATH Google Scholar

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Fukushima, M. (1982). On absolute continuity of multidimensional symmetrizable diffusions. In: Fukushima, M. (eds) Functional Analysis in Markov Processes. Lecture Notes in Mathematics, vol 923. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0093040

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DOI: https://doi.org/10.1007/BFb0093040
Published: 12 October 2006
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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