Poisson kernel and Green function of balls
for complex hyperbolic Brownian motion
Studia Mathematica, Tome 183 (2007) no. 2, pp. 161-193
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
The aim of this paper is to give a description of the Poisson kernel and the Green function of balls
in the complex hyperbolic space. The description is in terms of the hypergeometric function
and unitary spherical harmonics in $\mathbb{C}^n$.
Keywords:
paper description poisson kernel green function balls complex hyperbolic space description terms hypergeometric function unitary spherical harmonics mathbb
Affiliations des auteurs :
Tomasz /Zak 1
@article{10_4064_sm183_2_5,
author = {Tomasz /Zak},
title = {Poisson kernel and {Green} function of balls
for complex hyperbolic {Brownian} motion},
journal = {Studia Mathematica},
pages = {161--193},
publisher = {mathdoc},
volume = {183},
number = {2},
year = {2007},
doi = {10.4064/sm183-2-5},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm183-2-5/}
}
TY - JOUR AU - Tomasz /Zak TI - Poisson kernel and Green function of balls for complex hyperbolic Brownian motion JO - Studia Mathematica PY - 2007 SP - 161 EP - 193 VL - 183 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/sm183-2-5/ DO - 10.4064/sm183-2-5 LA - en ID - 10_4064_sm183_2_5 ER -
Tomasz /Zak. Poisson kernel and Green function of balls for complex hyperbolic Brownian motion. Studia Mathematica, Tome 183 (2007) no. 2, pp. 161-193. doi: 10.4064/sm183-2-5
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