Introduction to the Theory of Valuations - Couverture souple

Alesker, Semyon

 
9781470443597: Introduction to the Theory of Valuations
Couverture souple
ISBN 10 : 1470443597 ISBN 13 : 9781470443597
Editeur : American Mathematical Society, 2018

Synopsis

Theory of valuations on convex sets is a classical part of convex geometry which goes back at least to the positive solution of the third Hilbert problem by M. Dehn in 1900. Since then the theory has undergone a multifaceted development. The author discusses some of Hadwiger's results on valuations on convex compact sets that are continuous in the Hausdorff metric. The book also discusses the Klain-Schneider theorem as well as the proof of McMullen's conjecture, which led subsequently to many further applications and advances in the theory. The last section gives an overview of more recent developments in the theory of translation-invariant continuous valuations, some of which turn out to be useful in integral geometry.

This book grew out of lectures that were given in August 2015 at Kent State University in the framework of the NSF CBMS conference ``Introduction to the Theory of Valuations on Convex Sets''. Only a basic background in general convexity is assumed.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

Semyon Alesker, Tel Aviv University, Israel.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
American Mathematical Society
Date d'édition
2018
Langue
anglais
ISBN 10 
1470443597
ISBN 13 
9781470443597
Reliure
Broché
Nombre de pages
88
Coordonnées du fabricant
non disponible
Personne responsable
non disponible