Range characterization of the cosine transform on higher Grassmannians |
| |
| Authors: | Semyon Alesker Joseph Bernstein |
| |
| Institution: | Department of Mathematics, Tel Aviv University, Ramat Aviv, 69978 Tel Aviv, Israel |
| |
| Abstract: | We characterize the range of the cosine transform on real Grassmannians in terms of the decomposition under the action of the special orthogonal group SO(n). We also give a geometric interpretation of this image in terms of valuations. In addition, we discuss the non-Archimedean analogues. |
| |
| Keywords: | Grassmannians Cosine transform Radon transform |
| 本文献已被 ScienceDirect 等数据库收录！ |
