The Hadwiger theorem on convex functions, III: Steiner formulas and mixed Monge-Ampère measures

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.

References in corpus (2)

• Geometric measures in the dual Brunn-Minkowski theory and their associated Minkowski problems
• The Hadwiger theorem on convex functions, III: Steiner formulas and mixed Monge-Ampère measures

Cited by in corpus (7)

• The Hadwiger theorem on convex functions, IV: The Klain approach
• The Hadwiger theorem on convex functions, III: Steiner formulas and mixed Monge-Ampère measures
• Equivariant Endomorphisms of Convex Functions
• Valuations on Convex Bodies and Functions
• Additive kinematic formulas for convex functions
• Inequalities and counterexamples for functional intrinsic volumes and beyond
• The Legendre transform, the Laplace transform and valuations