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math.MG2021
Antinorms on cones: duality and applications
Vladimir Yu. Protasov
An antinorm is a concave nonnegative homogeneous functional on a convex cone. It is shown that if the cone is polyhedral, then every antinorm has a unique continuous extension from…
math.MG2021
Tiling of polyhedral sets
Vladimir Yu. Protasov, Tatyana Zaitseva
A self-affine tiling of a compact set G of positive Lebesgue measure is its partition to parallel shifts of a compact set which is affinely similar to G. We find all polyhedral set…