Generalized cosine transforms and classes of star bodies
Functional Analysis
2007-05-23 v1 Differential Geometry
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.
Keywords
Cite
@article{arxiv.math/0602540,
title = {Generalized cosine transforms and classes of star bodies},
author = {Boris Rubin},
journal= {arXiv preprint arXiv:math/0602540},
year = {2007}
}