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References

  1. Albeverio, S. and Ma, Z.M., A general correspondence between Dirichlet forms and right processes. Bull. Amer. Math. Soc. 26 (1992) 245-252 Math. Review 92h:31010
  2. Blumenthal, R.M. and Getoor,R.K., Markov processes and potential theory. Academic Press, New York and London 1968 Math. Review 41:9348
  3. Chen, Z. Q., Fitzsimmons P. J. and Williams, R. J., Reflecting Brownian motions: quasimartingales and strong Caccioppoli sets. Potential Analysis 2 (1993) 219-243 Math. Review 95d:60134
  4. Chen, Z. Q., Ma, Z.-M. and Röckner, M., Quasi-homeomorphisms of Dirichlet forms. Nagoya Math. J. 136 (1994) 1-15 Math. Review 95m:31020
  5. Çinlar, E., Jacod,. J., Protter, Ph. and Sharpe, M. J., Semimartingale and Markov processes. Z. Wahrscheinlichkietstheorie verw. Gebiete 54 (1980) 161-219 Math. Review 82h:60084
  6. Evans, L. C. and Gariepy, R. F., Measure theory and fine properties of functions. CRC Press, Boca Raton, New York, Tokyo 1992 Math. Review 93f:28001
  7. Fitzsimmons, P. J., On the quasi-regularity of semi-Dirichlet forms. Potential Analysis, to appear Math. Review number not available.
  8. Fitzsimmons, P. J. and Getoor, R. K., Smooth measures and continuous additive functionals of right Markov processes. Itô's Stochastic Calculus and Probability Theory, N. Ikeda, S. Wantanabe, M. Fukushima, H. Kunita, eds., Springer 1996 31-50 Math. Review 98g:60137
  9. Fukushima,M., A construction of reflecting barrier Brownian motions for bounded domains. Osaka J. Math. 4 (1967) 183-215 Math. Review 38:5291
  10. Fukushima, M., Regular representations of Dirichlet spaces. Trans. Amer. Math. Soc. 155 (1971) 455-473 Math. Review 43:6975
  11. Fukushima, M., Dirichlet spaces and strong Markov processes. Trans. Amer. Math. Soc. 162 (1971) 185-224 Math. Review 45:4501
  12. Fukushima, M., Dirichlet forms and Markov processes. Kodansha and North Holland 1980 Math. Review 81f:60105
  13. Fukushima, M., Dirichlet forms, Caccioppoli sets and the Skorohod equations. Stochastic Differential and Difference Equations, Csiszar, Michaletzky, eds., Birkhäuser 1997 59-66 Math. Review number not available.
  14. Fukushima, M., Distorted Brownian motions and BV functions. Trends in Probability and Analysis N. Kôno, N-R. Shieh, eds., World Scientific 1997 143-150 Math. Review number not available
  15. Fukushima, M., On decomposition of symmetric diffusion processes and related topics in analysis. Sugaku 50 (1998) 56-67 (in Japanese) English translation to appear from AMS Math. Review number not available
  16. Fukushima,M., Oshima, Y. and Takeda, M., Dirichlet forms and symmetric Markov processes. Walter de Gruyter 1994 Math. Review 96f:60126
  17. Kunita, H. and Watanabe, T., Some theorems concerning resolvents over locally compact spaces. Proc. Fifth Berkely Sympos. Math. Statist. and Probability, vol. II, part 2, Univ. of Calfornia Press, Berkeley, Calif. 1967, 131-164 Math. Review 35:4999
  18. Ma, Z.-M., Overbeck, L. and Röckner, M., Markov processes asscoiated with semi-Dirichlet forms. Osaka J. Math. 47 (1995) 97-119 Math. Review 96k:31016
  19. Ma, Z.M. and Röckner, M., Introduction to the theory of (non-symmetric) Dirichlet forms. Springer-Verlag 1992 Math. Review 94d:60119
  20. Maz'ja, V.G., Sobolev spaces. Springer-Verlag 1985 Math. Review 87g:46056
  21. Ray, D., Resolvents, transition functions, and strongly Markovian processes. Ann. of Math. 70 (1959) 43-72 Math. Review 21:6027
  22. Röckner, M. and Wielens, N., Dirichlet forms-closability and change of speed measure. Infinite dimensional analysis and stochastic processes, Research Notes in Math. S. Albeverio, ed., Pitman 124 (1985) 119-144 Math. Review 88a:31016
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