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arXiv · 2508.07984

Additive Kinematic Formulas for Functional Minkowski Vectors

Mohamed A. Mouamine
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Abstract

We establish an additive kinematic formula for the functional Minkowski vectors using mixed Monge-Amp\`ere measures. These vectors, recently introduced and characterized by the author and F. Mussnig, form a natural family of vector-valued valuations on the space of convex functions. This result represents the first integral geometric application of this characterization.

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BibTeXRIS

Mohamed A. Mouamine. 2025-08-11. Additive Kinematic Formulas for Functional Minkowski Vectors. https://arxiv.org/abs/2508.07984

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