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math.MG2016★ 2 cited
The role of the Rogers-Shephard inequality in the characterization of the difference body
Judit Abardia, Eugenia Saorín Gómez
The difference body operator enjoys different characterization results relying on its basic properties such as continuity, SL(n)-covariance, Minkowski valuation or symmetric image.…
math.MG2016★ 6 cited
How do difference bodies in complex vector spaces look like? A geometrical approach
Judit Abardia, Eugenia Saorín Gómez
We investigate geometrical properties and inequalities satisfied by the complex difference body, in the sense of studying which of the classical ones for the difference body have a…