49 citations · 217 across the 14 of their papers we have counts for
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math.MG2017★ 6 cited
Valuations on Log-Concave Functions
Fabian Mussnig
A classification of and translation covariant Minkowski valuations on log-concave functions is established. The moment vector and the recently introduced lev…
math.FA2017★ 48 cited
Minkowski valuations on convex functions
Andrea Colesanti, Monika Ludwig, Fabian Mussnig
A classification of SL contravariant Minkowski valuations on convex functions and a characterization of the projection body operator are established. The associated LYZ measur…
math.FA2017★ 49 cited
Valuations on Convex Functions
Andrea Colesanti, Monika Ludwig, Fabian Mussnig
All continuous, SL and translation invariant valuations on the space of convex functions on are completely classified.