The Poisson integral for a ball in spaces of constant curvature
Symeonidis, Eleutherius
Commentationes Mathematicae Universitatis Carolinae, Tome 44 (2003), p. 437-460 / Harvested from Czech Digital Mathematics Library
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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.

Publié le : 2003-01-01
Classification:  31C12,  33C90,  35J25 
@article{119400,
     author = {Eleutherius Symeonidis},
     title = {The Poisson integral for a ball in spaces of constant curvature},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {44},
     year = {2003},
     pages = {437-460},
     zbl = {1127.31302},
     mrnumber = {2025812},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119400}
}

Symeonidis, Eleutherius. The Poisson integral for a ball in spaces of constant curvature. Commentationes Mathematicae Universitatis Carolinae, Tome 44 (2003) pp. 437-460. http://gdmltest.u-ga.fr/item/119400/

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