The Sine Transform of Isotropic Measures
Metric Geometry
2012-08-01 v1 Differential Geometry
Functional Analysis
Abstract
Sharp isoperimetric inequalities for the sine transform of even isotropic measures are established. The corresponding reverse inequalities are obtained in an asymptotically optimal form. These new inequalities have direct applications to strong volume estimates for convex bodies from data about their sections or projections.
Keywords
Cite
@article{arxiv.1207.7266,
title = {The Sine Transform of Isotropic Measures},
author = {Gabriel Maresch and Franz E. Schuster},
journal= {arXiv preprint arXiv:1207.7266},
year = {2012}
}