Riesz decompositions in Markov process theory-Reference-Cited by-同舟云学术

Riesz decompositions in Markov process theory

Published:1984 Issue:1 Volume:285 Page:107-132
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Getoor R. K.,Glover J.

Abstract

Riesz decompositions of excessive measures and excessive functions are obtained by probabilistic methods without regularity assumptions. The decomposition of excessive measures is given for Borel right processes. The results for excessive functions are formulated within the framework of weak duality. These results extend and generalize the pioneering work of Hunt in this area.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1984-285-01/S0002-9947-1984-0748833-1/S0002-9947-1984-0748833-1.pdf

Reference11 articles.

1. Pure and Applied Mathematics, Vol. 29;Blumenthal, R. M.,1968

2. Lecture Notes in Mathematics, Vol. 440;Getoor, Ronald K.,1975

3. Transience and recurrence of Markov processes;Getoor, R. K.,1980

4. Markov processes with identical excessive measures;Getoor, Ronald K.;Math. Z.,1983

5. Naturality, standardness, and weak duality for Markov processes;Getoor, R. K.;Z. Wahrsch. Verw. Gebiete,1984

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