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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3 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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math.MG 3years
2025 3verdicts
UNVERDICTED 3representative 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.
Explicit representation formulas are derived for solutions to the Christoffel-Minkowski problem and related mixed Monge-Ampère and k-Hessian equations under rotational symmetry.
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.
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Explicit solutions to Christoffel-Minkowski problems and Hessian equations under rotational symmetries
Explicit representation formulas are derived for solutions to the Christoffel-Minkowski problem and related mixed Monge-Ampère and k-Hessian equations under rotational symmetry.