Geodesic
Functions harmonic for a Markov process
Matematičeskie zametki, Tome 13 (1973) no. 4, pp. 587-596 
M. G. Shur. Functions harmonic for a Markov process. Matematičeskie zametki, Tome 13 (1973) no. 4, pp. 587-596. http://geodesic.mathdoc.fr/item/MZM_1973_13_4_a14/
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     author = {M. G. Shur},
     title = {Functions harmonic for {a~Markov} process},
     journal = {Matemati\v{c}eskie zametki},
     pages = {587--596},
     year = {1973},
     volume = {13},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1973_13_4_a14/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The compactness property of a family of functions harmonic for a Markov process is studied and, in particular, an inequality of Harnack type is derived. It is shown that under broad conditions the property that a function be locally harmonic implies that it is harmonic.