An analogue of the Fuglede formula in integral geometry on matrix spaces
| dc.creator | Ournycheva, E. | |
| dc.creator | Rubin, B. | |
| dc.date | 2004-01-13 | |
| dc.date.accessioned | 2026-07-07T05:04:30Z | |
| dc.date.available | 2026-07-07T05:04:30Z | |
| dc.description | The well known formula of B. Fuglede expresses the mean value of the Radon k-plane transform on $R^n$ as a Riesz potential. We extend this formula to the space of $n \times m$ real matrices and show that the corresponding matrix k-plane transform $f \to \hat f$ is injective if and only if $n-k \ge m$. Different inversion formulas for this transform are obtained. We assume that $f \in L^p$ or $f$ is a continuous function satisfying certain "minimal" conditions at infinity. | |
| dc.description | AMS LaTeX, 20 pages | |
| dc.identifier | https://arxiv.org/abs/math/0401127 | |
| dc.identifier | http://arxiv.org/abs/math/0401127 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69830 | |
| dc.subject | Functional Analysis | |
| dc.subject | Primary 44A12; Secondary 47G10 | |
| dc.title | An analogue of the Fuglede formula in integral geometry on matrix spaces | |
| dc.type | text |