158 citations · 341 across the 12 of their papers we have counts for
3 papers · 1 filter
Volume inequalities for asymmetric Wulff shapes
Franz E. Schuster, Manuel Weberndorfer
Sharp reverse affine isoperimetric inequalities for asymmetric Wulff shapes and their polars are established, along with the characterization of all extremals. These new inequaliti…
Harmonic analysis of translation invariant valuations
Semyon Alesker, Andreas Bernig, Franz E. Schuster
The decomposition of the space of continuous and translation invariant valuations into a sum of SO(n) irreducible subspaces is obtained. A reformulation of this result in terms of…
General Lp affine isoperimetric inequalities
Christoph Haberl, Franz E. Schuster
Sharp Lp affine isoperimetric inequalities are established for the entire class of Lp projection bodies and the entire class of Lp centroid bodies. These new inequalities strengthe…