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Analytic Aspects of Convexity de Gabriele Bianchi

Analytic Aspects of Convexity: Springer INdAM Series, cartea 25

Editat de Gabriele Bianchi, Andrea Colesanti, Paolo Gronchi
en Limba Engleză Hardback – 9 mar 2018
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.
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Specificații

ISBN-13: 9783319718330
ISBN-10: 3319718339
Pagini: 111
Ilustrații: IX, 120 p.
Dimensiuni: 155 x 235 mm
Greutate: 0.36 kg
Ediția:1st ed. 2018
Editura: Springer International Publishing
Colecția Springer
Seria Springer INdAM Series

Locul publicării:Cham, Switzerland

Cuprins

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.

Notă biografică

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.

Textul de pe ultima copertă

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.

Caracteristici

Highlights recent advances in those areas of Convex Geometry that are currently most intensively researched Includes contributions by the leading experts in the field Presents open problems that can be of great interest to young researchers