35 citations · 58 across the 15 of their papers we have counts for
4 papers · 1 filter
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…
The Fourier transform on valuations is the Fourier transform
Dmitry Faifman, Thomas Wannerer
Alesker has proved the existence of a remarkable isomorphism of the space of translation-invariant smooth valuations that has the same functorial properties as the classical Fourie…
Dually Lorentzian Polynomials
Julius Ross, Hendrik Süß, Thomas Wannerer
We introduce and study a notion of dually Lorentzian polynomials, and show that if is non-zero and dually Lorentzian then the operator \[s(\partial_{x_1},\ldots,\partial_{x_n})…
Valuations in affine convex geometry
Jakob Henkel, Thomas Wannerer
In convex geometry, the constructions that assign to a convex body its difference body, projection body, or volume have the following properties: They are (1) invariant under volum…