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 ℂⁿ.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm183-2-5, author = {Tomasz \.Zak}, title = {Poisson kernel and Green function of balls for complex hyperbolic Brownian motion}, journal = {Studia Mathematica}, volume = {178}, year = {2007}, pages = {161-193}, zbl = {1139.60337}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm183-2-5} }
Tomasz Żak. Poisson kernel and Green function of balls for complex hyperbolic Brownian motion. Studia Mathematica, Tome 178 (2007) pp. 161-193. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm183-2-5/