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arXiv · 1306.6899

Concavity properties of extensions of the parallel volume

Arnaud Marsiglietti
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Abstract

In this paper we establish concavity properties of two extensions of the classical notion of the outer parallel volume. On the one hand, we replace the Lebesgue measure by more general measures. On the other hand, we consider a functional version of the outer parallel sets.

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Arnaud Marsiglietti. 2014-09-30. Concavity properties of extensions of the parallel volume. https://doi.org/10.1112/s0025579314000369

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