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arxiv: 1507.05412 · v1 · pith:BCZJ5X2Mnew · submitted 2015-07-20 · 🧮 math.MG

Minkowski Valuations and Generalized Valuations

classification 🧮 math.MG
keywords valuationsminkowskigeneralizedinvarianttranslationapplicationsclassificationcontinuous
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A convolution representation of continuous translation invariant and SO(n) equivariant Minkowski valuations is established. This is based on a new classification of translation invariant generalized spherical valuations. As applications, Crofton and kinematic formulas for Minkowski valuations are obtained.

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