From harmonic analysis of translation-invariant valuations to geometric inequalities for convex bodies
From harmonic analysis of translation-invariant valuations to geometric inequalities for convex bodies
Abstract The Alesker–Bernig–Schuster theorem asserts that each irreducible representation of the special orthogonal group appears with multiplicity at most one as a subrepresentation of the space of continuous translation-invariant valuations with fixed degree of homogeneity. Moreover, the theorem describes in terms of highest weights which irreducible representations appear with multiplicity …