Generalized cosine transforms and classes of star bodies

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.

References in corpus (1)

• Centroids and comparison of volumes

Cited by in corpus (2)

• Intersection Bodies and Generalized Cosine Transforms
• The Lower Dimensional Busemann-Petty Problem for Bodies with the Generalized Axial Symmetry