The Poisson integral for a ball in spaces of constant curvature

Eleutherius Symeonidis

Commentationes Mathematicae Universitatis Carolinae (2003)

  • Volume: 44, Issue: 3, page 437-460
  • ISSN: 0010-2628

Abstract

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We present explicit expressions of the Poisson kernels for geodesic balls in the higher dimensional spheres and real hyperbolic spaces. As a consequence, the Dirichlet problem for the projective space is explicitly solved. Comparison of different expressions for the same Poisson kernel lead to interesting identities concerning special functions.

How to cite

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Symeonidis, Eleutherius. "The Poisson integral for a ball in spaces of constant curvature." Commentationes Mathematicae Universitatis Carolinae 44.3 (2003): 437-460. <http://eudml.org/doc/249170>.

@article{Symeonidis2003,
abstract = {We present explicit expressions of the Poisson kernels for geodesic balls in the higher dimensional spheres and real hyperbolic spaces. As a consequence, the Dirichlet problem for the projective space is explicitly solved. Comparison of different expressions for the same Poisson kernel lead to interesting identities concerning special functions.},
author = {Symeonidis, Eleutherius},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Poisson integral; Poisson kernel; Dirichlet problem; harmonic function; Riemannian manifold; hypergeometric function; biharmonic Green functions},
language = {eng},
number = {3},
pages = {437-460},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {The Poisson integral for a ball in spaces of constant curvature},
url = {http://eudml.org/doc/249170},
volume = {44},
year = {2003},
}

TY - JOUR
AU - Symeonidis, Eleutherius
TI - The Poisson integral for a ball in spaces of constant curvature
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2003
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 44
IS - 3
SP - 437
EP - 460
AB - We present explicit expressions of the Poisson kernels for geodesic balls in the higher dimensional spheres and real hyperbolic spaces. As a consequence, the Dirichlet problem for the projective space is explicitly solved. Comparison of different expressions for the same Poisson kernel lead to interesting identities concerning special functions.
LA - eng
KW - Poisson integral; Poisson kernel; Dirichlet problem; harmonic function; Riemannian manifold; hypergeometric function; biharmonic Green functions
UR - http://eudml.org/doc/249170
ER -

References

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