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Time changes of symmetric diffusions and Feller measures

Masatoshi Fukushima, Ping He, Jiangang Ying

math.PRarXiv:math/0503588

Abstract

We extend the classical Douglas integral, which expresses the Dirichlet integral of a harmonic function on the unit disk in terms of its value on boundary, to the case of conservative symmetric diffusion in terms of Feller measure, by using the approach of time change of Markov processes.

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