Representation of Excessive Functions as Potentials of Additive Functionals for Regular Markov Processes
Mioara Buiculescu · Theory of Probability and Its Applications · 1982
Previous article Next article Representation of Excessive Functions as Potentials of Additive Functionals for Regular Markov ProcessesM. BuiculescuM. Buiculescuhttps://doi.org/10.1137/1126039PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] R. M. Blumenthal and , R. K. Getoor, Markov processes and potential theory, Pure and Applied Mathematics, Vol. 29, Academic Press, New York, 1968x+313, London 41:9348 0169.49204 Google Scholar[2] Claude Dellacherie, Capacités et processus stochastiques, Springer-Verlag, Berlin, 1972ix+155 56:6810 0246.60032 CrossrefGoogle Scholar[3] E. B. Dynkin, Markov processes, Academic Press, New York, 1965 CrossrefGoogle Scholar[4] E. B. Dynkin, Regular Markov processes, Uspehi Mat. Nauk, 28 (1973), 35–64, (In Russian.) 53:4244 0385.60059 Google Scholar[5] E. B. Dynkin, Additive functionals of Markov processes and stochastic systems, Ann. Inst. Fourier (Grenoble), 25 (1975), xv, 177–200 55:9294 CrossrefGoogle Scholar[6] P. A. Meyer, Processus de Markov, Lecture Notes in Mathematics, No. 26, Springer-Verlag, Berlin, 1967iv+189 36:2219 0189.51403 CrossrefGoogle Scholar[7] M. G. Shur, Elements of potential theory for nonhomogeneous Markov processes, Theory Prob. Appl., 22 (1975), 261–284 0356.60020 Google Scholar[8] M. G. Shur, Continuous additive functionals of Markov processes and excessive functions, Doklady Akad Nauk, SSSR, 137 (1961), 800–803, (In Russian.) 0111.33204 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Volume 26, Issue 2| 1982Theory of Probability & Its Applications History Submitted:15 September 1978Published online:17 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1126039Article page range:pp. 385-388ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics