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arxiv: math/0111031 · v1 · submitted 2001-11-02 · 🧮 math.MG · math.RT

Range characterization of the cosine transform on higher Grassmannians

classification 🧮 math.MG math.RT
keywords cosinegrassmanniansrangetransformactionanaloguesarchimedeancharacterization
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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.

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