| Title:
|
The Poisson integral for a ball in spaces of constant curvature (English) |
| Author:
|
Symeonidis, Eleutherius |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
44 |
| Issue:
|
3 |
| Year:
|
2003 |
| Pages:
|
437-460 |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
Poisson integral |
| Keyword:
|
Poisson kernel |
| Keyword:
|
Dirichlet problem |
| Keyword:
|
harmonic function |
| Keyword:
|
Riemannian manifold |
| Keyword:
|
hypergeometric function |
| MSC:
|
31C12 |
| MSC:
|
33C90 |
| MSC:
|
35J25 |
| idZBL:
|
Zbl 1127.31302 |
| idMR:
|
MR2025812 |
| . |
| Date available:
|
2009-01-08T19:30:24Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119400 |
| . |
| Reference:
|
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| . |
