2 citations · 2 across the 5 of their papers we have counts for
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The volume of tubes in Lie groups
Andreas Bernig, Dmitry Faifman, Jan Kotrbatý
The problem of computing the volume of tubes in riemannian manifolds goes back to Weyl and Hotelling. Here we find explicit Taylor series for the volume of a tube in a Lie group eq…
Invariant valuations on Lie groups
Andreas Bernig, Dmitry Faifman, Jan Kotrbatý
Convolution of valuations was introduced by the first named author and Fu for linear spaces, and later by Alesker and the first named author for compact Lie groups. In this paper w…
Hard Lefschetz theorem and Hodge-Riemann relations for convex valuations
Andreas Bernig, Jan Kotrbatý, Thomas Wannerer
The algebra of smooth translation-invariant valuations on convex bodies, introduced by S.Alesker in the early 2000s, was in part proved and in part conjectured to satisfy propertie…
From harmonic analysis of translation-invariant valuations to geometric inequalities for convex bodies
Jan Kotrbatý, Thomas Wannerer
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…