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References
W. Feller: The parabolic differential equations and the associated semigroups, Ann. Math. 55 (1952), 468–519.
Kôsaku Yosida Collected Papers, Springer-Verlag, to be published.
P. A. Meyer: Probability and potentials, Ginn (Blaisdell), Boston, 1966.
M. Fukushima: Dirichlet forms and Markov processes, Kodansha and North Holland, 1980.
J. L. Doob: Stochastic processes, John Wiley, 1953.
E. B. Dynkin: Markov processes I,II, Springer-Verlag, 1965.
D. W. Stroock-S. R. S. Varadhan: Multidimensional diffusion processes, Springer-Verlag, 1979.
W. Feller: The general diffusion operator and positivity preserving semi-groups in one-dimension, Ann. Math. 60 (1954), 417–436.
K. Itô and H. P. Mckean: Diffusion processes and their sample paths, Springer-Verlag, 1965.
E. Hille and R. Phillips: Functional analysis and semi-groups, Colloq. Publ. Amer. Math. Soc. 1948 (1st. ed.), 1957 (2nd ed.).
A. D. Wentzell: On boundary conditions for multi-dimensional diffusion processes, Th. Prob. and Appl. 4 (1959), 164–177.
K. Itô and H. P. McKean: Brownian motions on a half-line, Illinois Journ. Math. 7 (1963), 181–231.
K. Itô: Poisson point processes attached to Markov processes, Proc. Sixth Berkeley Symp. Math. Statist. Prob. III (1970), 225–239.
S. Watanabe: Construction of diffusion processes with Wentzell's boundary conditions by means of Poisson point processes of Brownian excursions, Prob. Th., Banach Center Publications Vol. 5, 255–271, Polish Scientific Publishers, Warsaw, 1979.
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© 1993 Springer-Verlag
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Itô, K. (1993). Semigroups in probability theory. In: Komatsu, H. (eds) Functional Analysis and Related Topics, 1991. Lecture Notes in Mathematics, vol 1540. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0085475
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DOI: https://doi.org/10.1007/BFb0085475
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