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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Riesz decompositions in Markov process theory


Authors: R. K. Getoor and J. Glover
Journal: Trans. Amer. Math. Soc. 285 (1984), 107-132
MSC: Primary 60J45; Secondary 60J40
DOI: https://doi.org/10.1090/S0002-9947-1984-0748833-1
MathSciNet review: 748833
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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.


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DOI: https://doi.org/10.1090/S0002-9947-1984-0748833-1
Article copyright: © Copyright 1984 American Mathematical Society