Download this PDF file Fullscreen Fullscreen Off
References
- S. Albeverio, J. Brasche and M. Röckner, Dirichlet forms and generalized Schr"odinger operators, Lecture Notes in Physics 345, Springer, 1989, pp. 1-42. Math. Review MR91c:47103
- J. Azéma, Théorie générale des processus et retournement du temps, Ann. Sci. de l'Ecole Norm. Sup. 6 (1973), 459-519. Math. Review MR51:1977
- R. M. Blumenthal and R. K. Getoor, Markov Processes and Potential Theory, Academic Press, New York, 1968. Math. Review MR41:9348
- A. Boukricha, W. Hansen and H. Hueber, Continuous solutions of the generalized Schrödinger equation and perturbation of harmonic spaces, Expo. Math. 5 (1987), 97-135. Math. Review MR88g:31019
- K. L. Chung and Z. Zhao, From Brownian Motion to Schrödinger's Equation, Springer, Berlin, Heidelberg, New York, 1995. Math. Review MR96f:60140
- E. Çinlar, J. Jacod, P. Protter and M. J. Sharpe, Semimartingales and Markov processes, Z. Wahrsheinlichkeitstheorie 54, (1980), 161-219. Math. Review MR82h:60084
- C. Dellacherie and P.-A. Meyer, Probabilités et Potentiel, Ch. I-IV (1975), Ch. V-VIII (1980), Ch. IX-XI (1983), Ch. XII-XVI (1987) Hermann, Paris. Math. Review MR58:7757
- E. B. Dynkin, Markov Processes, Vol. 1, Springer, Berlin, Heidelberg, New York, 1965. Math. Review MR33:1887
- D. Feyel and A. de La Pradelle,
Étude de l'équation
où $mu$ est une mesure positive, Ann. Inst. Fourier, Grenoble 38 (1988), 199-218. Math. Review MR90j:35074
- P. J. Fitzsimmons and R. K. Getoor, Revuz measures and time changes, Math. Z. 199 (1988), 233-256. Math. Review MR89h:60124
- P. J. Fitzsimmons and R. K. Getoor, Smooth measures and continuous additive functionals of right Markov processes, Itò's Stochastic Calculus and Probability Theory, Springer, Berlin, Heidelberg, New York, 1996, pp. 31-49. Math. Review MR98g:60137
- R. K. Getoor, Excessive Measures, Birkhauser, Boston, 1990. Math. Review MR92i:60135
- R. K. Getoor, Measure perturbations of Markovian semigroups, Potential Analysis 11 (1999), 101-133. Math. Review 1 703 827
- R. K. Getoor and M. J. Sharpe, Naturality, standardness and weak duality, Z. Wahrsheinlichkeitstheorie verw. Geb. 67 (1984), 1-62. Math. Review MR86f:60093
- R. K. Getoor and J. Steffens, The energy functional, balayage and capacity, Ann. Inst. Henri Poincaré 23 (1987), 321-357. Math. Review MR89b:60178
- W. Hansen, A note on continuous solutions of the Schrödinger equation, Proc. AMS 117 (1993), 381-384. Math. Review MR93d:35032
- H. Kunita, Absolute continuity of Markov processes and generators, Nagoya Math. J. 36 (1969), 1-26. Math. Review MR40:3626
- Z. Ma, Some new results concerning Dirichlet forms, Feynman-Kac semigroups and Schrödinger equations, Contemporary Math. 118 (1991), 239-254. Math. Review MR93d:31008
- D. Revuz, Mesures associées aux fonctionnelles additive de Markov I, Trans. AMS 148 (1970), 501-531. Math. Review MR43:5611
- M. J. Sharpe, General Theory of Markov Processes, Academic Press, Boston, San Diego, New York, 1988. Math. Review MR89m:60169
- P. Stollmann and J. Voigt, Perturbations of Dirichlet forms by measures, Potential Analysis 5 (1996), 109-139. Math. Review MR97e:47065

This work is licensed under a Creative Commons Attribution 3.0 License.