Feynman-Kac formula, λ-Poisson kernels and λ-Green functions of half-spaces and balls in hyperbolic spaces

Tomasz Byczkowski, Jacek Małecki, and Tomasz Żak. "Feynman-Kac formula, λ-Poisson kernels and λ-Green functions of half-spaces and balls in hyperbolic spaces." Colloquium Mathematicae 118.1 (2010): 201-222. <http://eudml.org/doc/283553>.

@article{TomaszByczkowski2010,
abstract = {We apply the Feynman-Kac formula to compute the λ-Poisson kernels and λ-Green functions for half-spaces or balls in hyperbolic spaces. We present known results in a unified way and also provide new formulas for the λ-Poisson kernels and λ-Green functions of half-spaces in ℍⁿ and for balls in real and complex hyperbolic spaces.},
author = {Tomasz Byczkowski, Jacek Małecki, Tomasz Żak},
journal = {Colloquium Mathematicae},
keywords = {-Poisson kernel; -Green function; Feynman–Kac formula; hyperbolic Brownian motion},
language = {eng},
number = {1},
pages = {201-222},
title = {Feynman-Kac formula, λ-Poisson kernels and λ-Green functions of half-spaces and balls in hyperbolic spaces},
url = {http://eudml.org/doc/283553},
volume = {118},
year = {2010},
}

TY - JOUR
AU - Tomasz Byczkowski
AU - Jacek Małecki
AU - Tomasz Żak
TI - Feynman-Kac formula, λ-Poisson kernels and λ-Green functions of half-spaces and balls in hyperbolic spaces
JO - Colloquium Mathematicae
PY - 2010
VL - 118
IS - 1
SP - 201
EP - 222
AB - We apply the Feynman-Kac formula to compute the λ-Poisson kernels and λ-Green functions for half-spaces or balls in hyperbolic spaces. We present known results in a unified way and also provide new formulas for the λ-Poisson kernels and λ-Green functions of half-spaces in ℍⁿ and for balls in real and complex hyperbolic spaces.
LA - eng
KW - -Poisson kernel; -Green function; Feynman–Kac formula; hyperbolic Brownian motion
UR - http://eudml.org/doc/283553
ER -