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Standard balayage spaces and standard Markov processes

Part of the Lecture Notes in Mathematics book series (LNM,volume 787)

Abstract

Let X be a standard Markov process with state space E and cone S of excessive functions in the sense of [2]. We characterize those processes for which (E, S) is a standard balayage space in the sense of [1], and we apply the theory of Markov processes to obtain some results for general standard balayage spaces.

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References

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© 1980 Springer-Verlag

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Dembinski, V., Janßen, K. (1980). Standard balayage spaces and standard Markov processes. In: Berg, C., Forst, G., Fuglede, B. (eds) Potential Theory Copenhagen 1979. Lecture Notes in Mathematics, vol 787. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086327

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  • DOI: https://doi.org/10.1007/BFb0086327

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09967-3

  • Online ISBN: 978-3-540-39183-8

  • eBook Packages: Springer Book Archive