Generalized cosine transforms and classes of star bodies

Details Generalized cosine transforms and classes of star bodies Generalized cosine transforms and classes of star bodies

2006-02-24

arxiv.org/abs/math/0602540v1

Mathematics

Functional Analysis

Scientific paper

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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