An Elementary Probabilistic Computation of the Poisson Kernel for the n = 2 and 3 Euclidean Ball
Canadian mathematical bulletin, Tome 27 (1984) no. 2, pp. 241-246
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Direct and elementary derivation of the classical Poisson kernel for the ball in n = 2 or n = 3 dimensions starting with the usual expression involving the brownian motion b ω, the stopping time T on the boundary, and E x the conditional expectation on paths starting at x.
Mots-clés :
kw, 60J45, 60J65, Poisson kernels, Brownian motion, Martingale
Vauthier, Jacques. An Elementary Probabilistic Computation of the Poisson Kernel for the n = 2 and 3 Euclidean Ball. Canadian mathematical bulletin, Tome 27 (1984) no. 2, pp. 241-246. doi: 10.4153/CMB-1984-035-3
@article{10_4153_CMB_1984_035_3,
author = {Vauthier, Jacques},
title = {An {Elementary} {Probabilistic} {Computation} of the {Poisson} {Kernel} for the n = 2 and 3 {Euclidean} {Ball}},
journal = {Canadian mathematical bulletin},
pages = {241--246},
year = {1984},
volume = {27},
number = {2},
doi = {10.4153/CMB-1984-035-3},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1984-035-3/}
}
TY - JOUR AU - Vauthier, Jacques TI - An Elementary Probabilistic Computation of the Poisson Kernel for the n = 2 and 3 Euclidean Ball JO - Canadian mathematical bulletin PY - 1984 SP - 241 EP - 246 VL - 27 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1984-035-3/ DO - 10.4153/CMB-1984-035-3 ID - 10_4153_CMB_1984_035_3 ER -
%0 Journal Article %A Vauthier, Jacques %T An Elementary Probabilistic Computation of the Poisson Kernel for the n = 2 and 3 Euclidean Ball %J Canadian mathematical bulletin %D 1984 %P 241-246 %V 27 %N 2 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1984-035-3/ %R 10.4153/CMB-1984-035-3 %F 10_4153_CMB_1984_035_3
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