A note on reflected Dirichlet forms
Probability
2025-04-01 v1 Functional Analysis
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.
Keywords
Cite
@article{arxiv.1711.08746,
title = {A note on reflected Dirichlet forms},
author = {Marcel Schmidt},
journal= {arXiv preprint arXiv:1711.08746},
year = {2025}
}