The Poisson integral for a ball in spaces of constant curvature
Eleutherius Symeonidis (2003)
Commentationes Mathematicae Universitatis Carolinae
Similarity:
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.