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arXiv · 1512.00231

Valuations on the space of quasi-concave functions

Andrea Colesanti·Nico Lombardi
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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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Andrea Colesanti, Nico Lombardi. 2015-12-01. Valuations on the space of quasi-concave functions. https://arxiv.org/abs/1512.00231

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