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Valuations on the Space of Quasi-Concave Functions

  • Andrea Colesanti
  • Nico Lombardi
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.

Keywords

Compact Support Convex Body Radon Measure Rigid Motion Convex Geometry 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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