Sufficient Conditions for the Inversion Formula for the k-plane Radon Transform in R^n
| dc.creator | Jensen, Sine R. | |
| dc.date | 2002-08-16 | |
| dc.date | 2002-11-20 | |
| dc.date.accessioned | 2026-07-07T04:50:16Z | |
| dc.date.available | 2026-07-07T04:50:16Z | |
| dc.description | The inversion theorem for the k-plane Radon transform in R^n is often stated for Schwartz functions, and lately for smooth functions on R^n fulfilling that f(x)=O(|x|^{-N}) for some N>n. In this paper it will be shown, that it suffices to require that f is locally Holder continuous and f(x)=O(|x|^{-N}) for some N>k (N not necessarily an integer), and that a slightly weaker inversion formula holds when f with the same decay as before is only continuous. | |
| dc.description | 17 pages. Mistakes in earlier version corrected. Minor changes in notation. New results and references added | |
| dc.identifier | https://arxiv.org/abs/math/0208129 | |
| dc.identifier | http://arxiv.org/abs/math/0208129 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64732 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 44A12 | |
| dc.title | Sufficient Conditions for the Inversion Formula for the k-plane Radon Transform in R^n | |
| dc.type | text |