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.

List 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.

About the author

Gabriele Bianchi, Andrea Colesanti and Paolo Gronchi are professors at the Department of Mathematics and Computer Science of the University of Florence. Their main research interest is in the analytic aspects of Convex Geometry.

Summary

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.

Product details

• Assisted by: Gabriele Bianchi (Editor), Andre Colesanti (Editor), Andrea Colesanti (Editor), Paolo Gronchi (Editor)
• Publisher: Springer, Berlin
• Languages: English
• Product format: Hardback
• Released: 01.01.2018
• EAN: 9783319718330
• ISBN: 978-3-31-971833-0
• No. of pages: 120
• Dimensions: 155 mm x 241 mm x 12 mm
• Weight: 315 g
• Illustrations: IX, 120 p.
• Series: Springer INdAM Series; Springer INdAM Series
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Geometry; Analysis, Algebra, B, Group Theory, Mathematics and Statistics, Discrete Mathematics, Discrete geometry, Convex and Discrete Geometry, Convex geometry, Groups & group theory, Group Theory and Generalizations, Calculus & mathematical analysis, Analysis (Mathematics), Mathematical analysis, Field Theory and Polynomials, Field theory (Physics)