Support theorems for totally geodesic Radon transforms on constant curvature spaces
We prove a relation between the $k$-dimensional totally geodesic Radon transforms on the various constant curvature spaces using the geodesic correspondence between the spaces. Then we use this relation to obtain improved support theorems for these transforms.
Elmentve itt :
| Szerző: | |
|---|---|
| Dokumentumtípus: | Cikk |
| Megjelent: |
1994
|
| Sorozat: | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
122 No. 2 |
| doi: | 10.2307/2161033 |
| mtmt: | 1118118 |
| Online Access: | http://publicatio.bibl.u-szeged.hu/15958 |
| Tartalmi kivonat: | We prove a relation between the $k$-dimensional totally geodesic Radon transforms on the various constant curvature spaces using the geodesic correspondence between the spaces. Then we use this relation to obtain improved support theorems for these transforms. |
|---|---|
| Terjedelem/Fizikai jellemzők: | 429-435 |
| ISSN: | 0002-9939 |