The logarithmic Minkowski problem

Böröczky, Károly¹ ; Lutwak, Erwin² ; Yang, Deane² ; Zhang, Gaoyong²

¹ Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences
² Department of Mathematics, Polytechnic Institute of New York University, Brooklyn, New York 11201

Journal of the American Mathematical Society, Tome 26 (2013) no. 3, pp. 831-852

Résumé

In analogy with the classical Minkowski problem, necessary and sufficient conditions are given to assure that a given measure on the unit sphere is the cone-volume measure of the unit ball of a finite-dimensional Banach space.

Détail

DOI : 10.1090/S0894-0347-2012-00741-3

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