Analytic Aspects of Convexity

• Corporate Author: SpringerLink (Online service)
• Other Authors: Bianchi, Gabriele (Editor, http://id.loc.gov/vocabulary/relators/edt), Colesanti, Andrea (Editor, http://id.loc.gov/vocabulary/relators/edt), Gronchi, Paolo (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: Springer INdAM Series, 25
• Subjects: Convex geometry .; Discrete geometry.; Mathematical analysis.; Analysis (Mathematics).; Algebra.; Field theory (Physics).; Group theory.; Convex and Discrete Geometry.; Analysis.; Field Theory and Polynomials.; Group Theory and Generalizations.

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 a...

Table of Contents:

• 1 Dual curvature measures in Hermitian integral geometry, A. Bernig, J. H. G. Fu and G. Solanes
• 2 Estimates for the integrals of powered i-th mean curvatures, M. H. Hernandez Cifre and D. Alonso-Gutierrez
• 3 Crofton formulae for tensorial curvature measures: the general case, D. Hug and J. A. Weis
• 4 Extensions of reverse volume difference inequalities, A. Koldobsky and D. Wu
• 5 Around the simplex mean width conjecture, A. Litvak
• 6 Discrete centro-affine curvatures for convex polygons, A. Stancu
• 7 Characterizing the volume via a Brunn-Minkowski inequality, J. Yepes-Nicolas.