Time changes of symmetric diffusions and Feller measures

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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.
Published at http://dx.doi.org/10.1214/009117904000000649 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)

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Probability, 60J45, 60J50 (Primary)

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http://salesiana.dossiersoluciones.com/handle/123456789/74669

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0503588
 http://arxiv.org/abs/math/0503588
 Annals of Probability 2004, Vol. 32, No. 4, 3138-3166
 doi:10.1214/009117904000000649

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arXiv