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math.MG2024
Equivariant Valuations on Convex Functions
Georg C. Hofstätter, Jonas Knoerr
We classify all continuous valuations on the space of finite convex functions with values in the same space which are dually epi-translation-invariant and equi- resp. contravariant…
math.MG2024
The homogeneous decomposition of dually translation invariant valuations on Lipschitz functions on the sphere
Andrea Colesanti, Jonas Knoerr, Daniele Pagnini
We show that every continuous and dually translation invariant valuation on the space of Lipschitz functions on the unit sphere of , , can be decomposed unique…
math.MG2023
Monge-Ampère operators and valuations
Jonas Knoerr
Two classes of measure-valued valuations on convex functions related to Monge-Ampère operators are investigated and classified. It is shown that the space of all valuations with va…