This research reveals an additive kinematic formula for functional Minkowski vectors, suggesting new applications in integral geometry.
We establish an additive kinematic formula for the functional Minkowski vectors using mixed Monge-Ampère 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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Mohamed A. Mouamine (2025) studied this question.
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