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arXiv · 2111.05648

The Hadwiger theorem on convex functions, III: Steiner formulas and mixed Monge-Amp\`ere measures

Andrea Colesanti·Monika Ludwig·Fabian Mussnig
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Abstract

A complete family of functional Steiner formulas is established. As applications, an explicit representation of functional intrinsic volumes using special mixed Monge-Amp\`ere measures and a new version of the Hadwiger theorem on convex functions are obtained.

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Andrea Colesanti, Monika Ludwig, Fabian Mussnig. 2021-11-10. The Hadwiger theorem on convex functions, III: Steiner formulas and mixed Monge-Amp\`ere measures. https://doi.org/10.1007/s00526-022-02288-3

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