This is an announcement for the paper "The Sine transform of isotropic measures" by Gabriel Maresch and Franz E. Schuster.

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.

Archive classification: math.MG math.DG math.FA

Mathematics Subject Classification: 52A20, 52A41, 53Cxx

Citation: Int. Math. Res. Not. IMRN 2012, 717–739

Submitted from: franz.schuster@tuwien.ac.at

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1207.7266

or

http://arXiv.org/abs/1207.7266