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A characterization of fine domains for a certain class of Markov processes with applications to Brelot harmonic spaces. (English) Zbl 0221.60043


MSC:

60J25 Continuous-time Markov processes on general state spaces
60J60 Diffusion processes
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[1] Bauer, H.: Harmonische RÄume und ihre Potentialtheorie. Lecture Notes in Math., vol.22. Berlin-Heidelberg-New York: Springer 1966. · Zbl 0142.38402
[2] - Harmonic spaces and associated Markov processes, p. 24-67 of Potential theory (ed. by M. Brelot). C.I.M.E. (1970).
[3] Blumenthal, R.M., Getoor, R.K.: Markov processes and potential theory. New York: Academic Press 1968. · Zbl 0169.49204
[4] Brelot, M.: Lectures on potential theory. Tata Institute, Bombay, 1960. · Zbl 0098.06903
[5] Courrège, P., Priouret, P.: Axiomatique de problème de Dirichlet et processus de Markov. Séminaire Brelot-Choquet-Deny. Théorie du Potentiel, 8, n? 8, 48 pages (1963/64).
[6] Fuglede, B.: Proprietés de connexion en topologie fine. Preprint, Copenhagen Univ., 1969.
[7] - Fine connectivity and finely harmonic functions. To appear in Proc. Nice Congress. · Zbl 0223.31016
[8] Hansen, W.: Konstruktion von Halbgruppen und Markoffschen Prozessen. Inventiones math. 3, 179-214 (1967). · Zbl 0158.12803 · doi:10.1007/BF01425400
[9] Meyer, P.A.: Probability and potentials. Boston: Blaisdell 1966. · Zbl 0138.10401
[10] ?: Processus de Markov. Lecture Notes in Math., vol. 26. Berlin-Heidelberg-New York: Springer 1967. · Zbl 0189.51403
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