A complete family of functional Steiner formulas is established. As applications, an explicit representation of functional intrinsic volumes using special mixed Monge-Ampère measures and a new version of the Hadwiger theorem on convex functions are obtained.
The Hadwiger theorem on convex functions, III: Steiner formulas and mixed Monge-Ampère measures / Colesanti, Andrea; Ludwig, Monika; Mussnig, Fabian. - In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0944-2669. - ELETTRONICO. - 61:(2022), pp. 181.0-181.0. [10.1007/s00526-022-02288-3]
The Hadwiger theorem on convex functions, III: Steiner formulas and mixed Monge-Ampère measures
Colesanti, Andrea;Mussnig, Fabian
2022
Abstract
A complete family of functional Steiner formulas is established. As applications, an explicit representation of functional intrinsic volumes using special mixed Monge-Ampère measures and a new version of the Hadwiger theorem on convex functions are obtained.
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