Valuations on the Space of Quasi-Concave Functions

Chapter
Part of the Lecture Notes in Mathematics book series (LNM, volume 2169)

Abstract

We characterize the valuations on the space of quasi-concave functions on \(\mathbb{R}^{N}\), 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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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Dipartimento di Matematica e Informatica “U. Dini”FirenzeItaly

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