Establishes an additive kinematic formula for functional Minkowski vectors using mixed Monge-Ampère measures as the first integral-geometric application of their prior characterization.
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2 Pith papers cite this work. Polarity classification is still indexing.
fields
math.MG 2years
2025 2verdicts
UNVERDICTED 2representative citing papers
Establishes a functional Klain-Schneider theorem classifying continuous translation-covariant simple vector-valued valuations on convex functions, plus characterizations of moment vectors and new epi-translation invariant valuations under rotation equivariance.
citing papers explorer
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Additive Kinematic Formulas for Functional Minkowski Vectors
Establishes an additive kinematic formula for functional Minkowski vectors using mixed Monge-Ampère measures as the first integral-geometric application of their prior characterization.
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A Klain-Schneider Theorem for Vector-Valued Valuations on Convex Functions
Establishes a functional Klain-Schneider theorem classifying continuous translation-covariant simple vector-valued valuations on convex functions, plus characterizations of moment vectors and new epi-translation invariant valuations under rotation equivariance.