Range characterization of the cosine transform on higher Grassmannians

Preprint

2 November 2001

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.math/0111031

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

CHARACTERIZE THE RANGE
ARCHIMEDEAN ANALOGUES
HIGHER GRASSMANNIANS
REAL GRASSMANNIANS
SPECIAL ORTHOGONAL
COSINE TRANSFORM
ORTHOGONAL GROUP

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Version 1, 2001-11-02, ArXiv

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