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Local property of Dirichlet forms and continuity of sample paths. (English) Zbl 0283.60067


MSC:

60Jxx Markov processes
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[1] Beurling, A.; Deny, J., Dirichlet spaces, Proc. Nat. Acad. Sci., 45, 208-215 (1959) · Zbl 0089.08201
[2] Blumenthal, R. M.; Getoor, R. K., Markov processes and potential theory (1968), New York: Academic Press, New York · Zbl 0169.49204
[3] Fukushima, M., On Dirichlet spaces and Dirichlet rings, Proc. Japan Acad., 45, 433-436 (1969) · Zbl 0183.13802
[4] Fukushima, M., Regular representations of Dirichlet spaces, Trans. Amer. Math. Soc., 155, 455-473 (1971) · Zbl 0248.31007
[5] Fukushima, M., Dirichlet spaces and strong Markov processes, Trans. Amer. Math. Soc., 162, 185-224 (1971) · Zbl 0254.60055
[6] Fukushima, M., On the generation of Markov processes by symmetric forms, Lecture Notes in Math., Vol. 330 (1973), Berlin-Heidelberg-New York: Springer, Berlin-Heidelberg-New York · Zbl 0262.60054
[7] Ikeda, N.; Watanabe, S., The local structure of a class of diffusions and related problems, Lecture Notes in Math., Vol. 330 (1973), Berlin-Heidelberg-New York: Springer, Berlin-Heidelberg-New York · Zbl 0264.60052
[8] Kato, T., Perturbation theory for linear operators (1966), Berlin-Heidelberg-New York: Springer, Berlin-Heidelberg-New York · Zbl 0148.12601
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