183 citations · 612 across the 21 of their papers we have counts for
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math.MG2021★ 2 cited
Geometric valuation theory
Monika Ludwig
A brief introduction to geometric valuation theory is given. The focus is on classification results for valuations on convex bodies and on function spaces.
math.FA2021★ 18 cited
The Hadwiger theorem on convex functions, III: Steiner formulas and mixed Monge-Ampère measures
Andrea Colesanti, Monika Ludwig, Fabian Mussnig
A complete family of functional Steiner formulas is established. As applications, an explicit representation of functional intrinsic volumes using special mixed Monge-Ampère measur…
math.FA2021★ 7 cited
The Hadwiger theorem on convex functions, II: Cauchy-Kubota formulas
Andrea Colesanti, Monika Ludwig, Fabian Mussnig
A new version of the Hadwiger theorem on convex functions is established and an explicit representation of functional intrinsic volumes is found using new functional Cauchy-Kubota…