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arXiv · 1711.08746

A note on reflected Dirichlet forms

Marcel Schmidt
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Abstract

In this paper we give an algebraic construction of the (active) reflected Dirich- let form. We prove that it is the maximal Silverstein extension whenever the given form does not possess a killing part and we prove that Dirichlet forms need not have a maximal Silverstein extension if a killing is present. For regular Dirichlet forms we provide an alternative construction of the reflected process on a compactification (minus one point) of the underlying space.

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Marcel Schmidt. 2017-11-23. A note on reflected Dirichlet forms. https://doi.org/10.1007/s11118-018-9745-z

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