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 Teor. Veroyatnost. i Primenen., 1962, Volume 7, Issue 2, Pages 191–196 (Mi tvp4713)

Short Communications

Localization of the Concept of an Excessive Function Connected with a Markov Process

M. G. Šur

Moscow

Abstract: The concept of an excessive function connected with a Markov process has been introduced by G. A. Hunt in [3]. Afterwards this class of functions was studied by E. B. Dynkin [2] and other authors.
The purpose of this paper is to give a local criterion for excessive functions connected with a process. The class of processes we consider is the same as in [2] and [3].

Full text: PDF file (707 kB)

English version:
Theory of Probability and its Applications, 1962, 7:2, 185–189

Citation: M. G. Šur, “Localization of the Concept of an Excessive Function Connected with a Markov Process”, Teor. Veroyatnost. i Primenen., 7:2 (1962), 191–196; Theory Probab. Appl., 7:2 (1962), 185–189

Citation in format AMSBIB
\Bibitem{Shu62} \by M.~G.~{\v S}ur \paper Localization of the Concept of an Excessive Function Connected with a Markov Process \jour Teor. Veroyatnost. i Primenen. \yr 1962 \vol 7 \issue 2 \pages 191--196 \mathnet{http://mi.mathnet.ru/tvp4713} \transl \jour Theory Probab. Appl. \yr 1962 \vol 7 \issue 2 \pages 185--189 \crossref{https://doi.org/10.1137/1107017}