Overview

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.

Full Product Details

Author:   Gabriele Bianchi ,  Andrea Colesanti ,  Paolo Gronchi
Publisher:   Springer Nature Switzerland AG
Imprint:   Springer Nature Switzerland AG
Edition:   Softcover reprint of the original 1st ed. 2018
Volume:   25
Dimensions:   Width: 15.50cm , Height: 0.70cm , Length: 23.50cm
Weight:   0.454kg
ISBN:  

9783030101213

ISBN 10:   3030101215
Pages:   120
Publication Date:   12 January 2019
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.

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.

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Author Information

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.

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