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The Poisson integral for a ball in spaces of constant curvature

Eleutherius Symeonidis (2003)

Commentationes Mathematicae Universitatis Carolinae

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.

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