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 :
Bibliográfiai részletek
Szerző: Kurusa Árpád
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
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490 0 |a PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY  |v 122 No. 2 
520 3 |a 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. 
856 4 0 |u http://publicatio.bibl.u-szeged.hu/15958/1/suponcon.pdf  |z Dokumentum-elérés