English

Range characterization of the cosine transform on higher Grassmannians

Metric Geometry 2007-05-23 v1 Representation Theory

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). Also a geometric interpretation of its image is given. The non- Archimedean analogues are discussed.

Keywords

Cite

@article{arxiv.math/0111031,
  title  = {Range characterization of the cosine transform on higher Grassmannians},
  author = {Semyon Alesker and Joseph Bernstein},
  journal= {arXiv preprint arXiv:math/0111031},
  year   = {2007}
}

Comments

16 pages

R2 v1 2026-07-22T16:41:22.346Z