Generalized cosine transforms and classes of star bodies
classification
🧮 math.FA
math.DG
keywords
transformsbodiesclassescosinegeneralizedanalyticapplyconvex
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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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