Poisson kernel and Green function of balls for complex hyperbolic Brownian motion
Volume 183 / 2007
Studia Mathematica 183 (2007), 161-193
MSC: Primary 60J45, 31C12, 60G15; Secondary 60J65.
DOI: 10.4064/sm183-2-5
Abstract
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 $\mathbb{C}^n$.
