Abstract
We will give a complete characterization of all regular Dirichlet subspaces of $H^1(I)$ for a finite open interval $I$ by a certain family of scale functions. Each associated diffusion will be constructed from a reflecting Brownian motion on a closed interval by a time change and a transformation of the state space.
Citation
Xing Fang. Masatoshi Fukushima. Jiangang Ying. "On regular Dirichlet subspaces of $H^{1}(I)$ and associated linear diffusions." Osaka J. Math. 42 (1) 27 - 41, March 2005.
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