Autor:	Guangxian Zhu
Rok vydání:	2014
Předmět:	Unit sphere Combinatorics Algebra General Mathematics Minkowski's theorem Minkowski space Convex body Polytope Borel measure Measure (mathematics) Minkowski problem Mathematics
Zdroj:	Advances in Mathematics. 262:909-931
ISSN:	0001-8708
DOI:	10.1016/j.aim.2014.06.004
Popis:	The logarithmic Minkowski problem asks for necessary and sufficient conditions for a finite Borel measure on the unit sphere so that it is the cone-volume measure of a convex body. This problem was solved recently by Boroczky, Lutwak, Yang and Zhang for even measures (Boroczky et al. (2013) [8] ). This paper solves the case of discrete measures whose supports are in general position.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::d6be51e22675101a3188aaf06fb08cff https://doi.org/10.1016/j.aim.2014.06.004 Zobrazit plný text záznamu Full Text from ScienceDirect