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Generalized cosine transforms and classes of star bodies

Boris Rubin
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Abstract

The spherical Radon transform on the unit sphere can be regarded as a member of the analytic family of suitably normalized generalized cosine transforms. We derive new formulas for these transforms and apply them to study classes of intersections bodies in convex geometry.

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Boris Rubin. 2006-02-24. Generalized cosine transforms and classes of star bodies. https://arxiv.org/abs/math/0602540

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