Probability and a Dirichlet problem for multiply superharmonic functions
Annales de l'Institut Fourier, Tome 18 (1968) no. 2, pp. 221-279.

Soit un préfaisceau complet de fonctions “harmoniques” définies sur W. Un critère de régularité pour les points des frontières idéales de W est donné. Pour chaque sous-treillis banachique de ℬℋ W , il existe une frontière idéale qui compactifie W et qui contient une “frontière harmonique” Γ qui est l’ensemble des points réguliers ; est isométriquement isomorphe à 𝒞(Γ ) Parmi des applications se trouvent les théories frontières de Wiener et Royden et aussi les classes comparables harmoniques.

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     author = {Walsh, John B.},
     title = {Probability and a {Dirichlet} problem for multiply superharmonic functions},
     journal = {Annales de l'Institut Fourier},
     pages = {221--279},
     publisher = {Institut Fourier},
     address = {Grenoble},
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     number = {2},
     year = {1968},
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     zbl = {0172.38702},
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     url = {http://archive.numdam.org/articles/10.5802/aif.299/}
}
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Walsh, John B. Probability and a Dirichlet problem for multiply superharmonic functions. Annales de l'Institut Fourier, Tome 18 (1968) no. 2, pp. 221-279. doi : 10.5802/aif.299. http://archive.numdam.org/articles/10.5802/aif.299/

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