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Smooth measures and regular strongly supermedian kernels generating sub-Markovian resolvents - MaRDI portal

Smooth measures and regular strongly supermedian kernels generating sub-Markovian resolvents (Q5951878)

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scientific article; zbMATH DE number 1687378
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Smooth measures and regular strongly supermedian kernels generating sub-Markovian resolvents
scientific article; zbMATH DE number 1687378

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    Smooth measures and regular strongly supermedian kernels generating sub-Markovian resolvents (English)
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    23 October 2002
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    The authors present, in the context of a transient Borel right process with a fixed excessive measure \(\xi\), characterizations of regular strongly supermedian kernels and Revuz measures associated with these kernels. In the case of the measures charging no \(\xi\)-semipolar sets, the characterizations of this paper are the analytic counterparts of the probabilistic characterizations of Revuz, Fukushima, and Fitzsimmons and Getoor.
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    smooth measures
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    strongly supermedian kernel
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    sub-Markovian resolvent
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    homogeneous random measure
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    continuous additive functional
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