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math.FA2024
Polynomial valuations on convex functions and their maximal extensions
Jonas Knoerr, Jacopo Ulivelli
Extension problems for polynomial valuations on different cones of convex functions are investigated. It is shown that for the classes of functions under consideration, the extensi…
math.FA2024
A geometric decomposition for unitarily invariant valuations on convex functions
Jonas Knoerr
Valuations on the space of finite-valued convex functions on that are continuous, dually epi-translation invariant, as well as -invariant are complete…