Analytic Aspects of Convexity

This book presents the proceedings of the international conference Analytic Aspects in Convexity which was held in Rome in October 2016. It offers a collection of selected articles written by some of the world’s leading experts in the field of Convex Geometry on recent developments in this area: theory of valuations; geometric inequalities; affine geometry; and curvature measures. The book will be of interest to a broad readership from those involved in Convex Geometry to those focusing on Functional Analysis Harmonic Analysis Differential Geometry or PDEs.  The book is a addressed to PhD students and researchers interested in Convex Geometry and its links to analysis.