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arXiv · 2606.30538

Measure-valued valuations on star bodies

Jorge S. Ibáñez-Marcos·Monika Ludwig·Pedro Tradacete·Ignacio Villanueva
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Abstract

A complete classification of weak$^*$~continuous, measure-valued valuations is established on star bodies in $\R^n$. Consequences are an integral representation of rotation equivariant, measure-valued valuations and a characterization of dual area measures.

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Jorge S. Ibáñez-Marcos, Monika Ludwig, Pedro Tradacete, Ignacio Villanueva. 2026-06-29. Measure-valued valuations on star bodies. https://arxiv.org/abs/2606.30538

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