Soit un préfaisceau complet de fonctions “harmoniques” définies sur . Un critère de régularité pour les points des frontières idéales de est donné. Pour chaque sous-treillis banachique de , il existe une frontière idéale qui compactifie et qui contient une “frontière harmonique” qui est l’ensemble des points réguliers ; est isométriquement isomorphe à Parmi des applications se trouvent les théories frontières de Wiener et Royden et aussi les classes comparables harmoniques.
@article{AIF_1968__18_2_221_0,
author = {Walsh, John B.},
title = {Probability and a {Dirichlet} problem for multiply superharmonic functions},
journal = {Annales de l'Institut Fourier},
pages = {221--279},
year = {1968},
publisher = {Institut Fourier},
address = {Grenoble},
volume = {18},
number = {2},
doi = {10.5802/aif.299},
zbl = {0172.38702},
language = {en},
url = {https://aif.centre-mersenne.org/articles/10.5802/aif.299/}
}
TY - JOUR AU - Walsh, John B. TI - Probability and a Dirichlet problem for multiply superharmonic functions JO - Annales de l'Institut Fourier PY - 1968 SP - 221 EP - 279 VL - 18 IS - 2 PB - Institut Fourier PP - Grenoble UR - https://aif.centre-mersenne.org/articles/10.5802/aif.299/ DO - 10.5802/aif.299 LA - en ID - AIF_1968__18_2_221_0 ER -
%0 Journal Article %A Walsh, John B. %T Probability and a Dirichlet problem for multiply superharmonic functions %J Annales de l'Institut Fourier %D 1968 %P 221-279 %V 18 %N 2 %I Institut Fourier %C Grenoble %U https://aif.centre-mersenne.org/articles/10.5802/aif.299/ %R 10.5802/aif.299 %G en %F AIF_1968__18_2_221_0
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
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