On the boundary behaviour of generalized poisson integrals on symmetric spaces
Research output: Contribution to journal › Journal article › Research › peer-review
On a Riemannian symmetric space X of the noncompact type we introduce a generalized Poisson transformation from functions on the minimal boundary to functions on the maximal compactification whose restrictions to X are eigenfunctions of the invariant differential operators. Some continuity- and “Fatou”-theorems are proved.
| Original language | English |
|---|---|
| Journal | Transactions of the American Mathematical Society |
| Volume | 290 |
| Issue number | 1 |
| Pages (from-to) | 273-280 |
| Number of pages | 8 |
| ISSN | 0002-9947 |
| DOIs | |
| Publication status | Published - Jul 1985 |
- Boundary, Compactification, Fatou theorem, Poisson integral, Symmetric space
Research areas
ID: 304299234