24 citations · 41 across the 6 of their papers we have counts for
4 papers · 1 filter
The Vectorial Hadwiger Theorem on Convex Functions
Mohamed A. Mouamine, Fabian Mussnig
A complete classification of continuous, dually epi-translation invariant, and rotation equivariant valuations on convex functions is established. This characterizes the recently i…
A Klain-Schneider Theorem for Vector-Valued Valuations on Convex Functions
Mohamed A. Mouamine, Fabian Mussnig
A functional analog of the Klain-Schneider theorem for vector-valued valuations on convex functions is established, providing a classification of continuous, translation covariant,…
invariant valuations on super-coercive convex functions
Fabian Mussnig
All non-negative, continuous, and translation invariant valuations on the space of super-coercive, convex functions on are classified. Further…
Volume, Polar Volume and Euler Characteristic for Convex Functions
Fabian Mussnig
Functional analogs of the Euler characteristic and volume together with a new analog of the polar volume are characterized as non-negative, continuous, and t…