The paper proves a Paley-Wiener-Schwartz theorem for dually epi-translation invariant valuations on convex functions and uses it to classify all closed affine invariant subspaces.
Unitarily invariant valuations on convex functions
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A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions
The paper proves a Paley-Wiener-Schwartz theorem for dually epi-translation invariant valuations on convex functions and uses it to classify all closed affine invariant subspaces.