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A Remark on the Anisotropic Outer Minkowski content

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Abstract

We study an anisotropic version of the outer Minkowski content of a closed set in Rn. In particular, we show that it exists on the same class of sets for which the classical outer Minkowski content coincides with the Hausdorff measure, and we give its explicit form.
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Dates and versions

hal-00681922 , version 1 (22-03-2012)
hal-00681922 , version 2 (21-03-2013)

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Antonin Chambolle, Stefano Lisini, Luca Lussardi. A Remark on the Anisotropic Outer Minkowski content. 2012. ⟨hal-00681922v2⟩
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