Construction of markov process with markov resolvent onL
P (E, m) |
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Authors: | Zhao Dong |
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Institution: | (1) Institute of Applied Mathematics, Chinese Academy of Sciences, 100080 Beijing, China |
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Abstract: | LetE be a Hausdorff topological space and let β(E) be its Borel σ-field. Letm be a σ-finite measure on (E, β(E)). A necessary and sufficient condition for a Markov resolvent onL
P
(E,m) to be associated with anm-tightm-special standard process (with state spaceE) is given. Furthermore some new examples which do not belong to the framework of Dirichlet space are also given.
Project supported by the Youth Foundation of Chinese Academy of Sciences. |
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Keywords: | Markov resolvent quasi-regularity m-tightm-special standard process |
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