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arxiv: 1209.3980 · v2 · pith:QOAC36DDnew · submitted 2012-09-18 · 🧮 math.MG

SL(n)-Covariant L_p-Minkowski Valuations

classification 🧮 math.MG
keywords covariantminkowskivaluationsbodiesbodyclassifiedcompletelycontinuous
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All continuous SL(n)-covariant $L_p$-Minkowski valuations defined on convex bodies are completely classified. The $L_p$-moment body operators turn out to be the nontrivial prototypes of such maps.

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