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math.MG2024
Zonal valuations on convex bodies
Jonas Knoerr
A complete classification of all zonal, continuous, and translation invariant valuations on convex bodies is established. The valuations obtained are expressed as principal value i…
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…