A remark on the uniqueness of Silverstein extensions of symmetric Dirichlet forms |
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| Authors: | Yuichi Shiozawa |
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| Institution: | Department of Environmental and Mathematical Sciences, Graduate School of Natural Science and Technology, Okayama University, Okayama, Japan |
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| Abstract: | We prove the uniqueness of the Silverstein extension of symmetric Dirichlet forms under some condition on intrinsic metrics. As its application, we present some non‐local Dirichlet forms which possess the uniqueness of the Silverstein extension and generate non‐conservative Hunt processes. |
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| Keywords: | Dirichlet form Silverstein extension symmetric Markov process intrinsic metric Primary: 31C25 60J50 Secondary: 60J25 60J75 |
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