A Support Theorem for the Geodesic Ray Transform of Functions
| dc.creator | Krishnan, V. | |
| dc.date | 2007-11-26 | |
| dc.date | 2008-03-29 | |
| dc.date.accessioned | 2026-07-07T09:28:54Z | |
| dc.date.available | 2026-07-07T09:28:54Z | |
| dc.description | Let $(M,g)$ be a simple Riemannian manifold. Under the assumption that the metric $g$ is real-analytic, it is shown that if the geodesic ray transform of a function $f\in L^{2}(M)$ vanishes on an appropriate open set of geodesics, then $f=0$ on the set of points lying on these geodesics. The approach is based on a microlocal version of unique continuation of analytic functions. | |
| dc.description | 6 pages, errors corrected, paper revised | |
| dc.identifier | https://arxiv.org/abs/0711.3936 | |
| dc.identifier | http://arxiv.org/abs/0711.3936 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/157591 | |
| dc.subject | Differential Geometry | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 47G10, 47G30, 53B21 | |
| dc.title | A Support Theorem for the Geodesic Ray Transform of Functions | |
| dc.type | text |