Valuations on the space of quasi-concave functions

2015/12/01 by Andrea Colesanti, Colesanti, Andrea, Nico Lombardi +1
Mathematics · #Analytic and geometric function theory #Point processes and geometric inequalities #Advanced Topology and Set Theory

paper · pdf · doi:10.48550/arxiv.1512.00231

Abstract

We characterize the valuations on the space of quasi-concave functions defined on the N-dimensional Euclidean space, that are rigid motion invariant and continuous with respect to a suitable topology. Among them we also provide a specific description of those which are additionally monotone.

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