The discrete logarithmic Minkowski problem

Published 28 Sep 2014 in math.MG | (1409.7907v3)

Abstract: Existence of solution of the logarithmic Minkowski problem is proved for the case where the discrete measures on the unit sphere satisfy the subspace concentration condition with respect to some special proper subspaces. In order to understand how optimal this condition is, we discuss certain conditions that any cone volume measure satisfies.

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