2 citations · 2 across the 3 of their papers we have counts for
3 papers
math.CA2023
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…
math.CO2023★ 2 cited
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})…
math.MG2022
Integral geometry on the octonionic plane
Jan Kotrbatý, Thomas Wannerer
We describe explicitly the algebra of Spin(9)-invariant, translation-invariant, continuous valuations on the octonionic plane. Namely, we present a basis in terms of invariant diff…