47 citations · 98 across the 20 of their papers we have counts for
Showing 2023Show all
3 papers · 1 filter
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.MG2023
Volume growth of Funk geometry and the flags of polytopes
Dmitry Faifman, Constantin Vernicos, Cormac Walsh
We consider the Holmes--Thompson volume of balls in the Funk geometry on the interior of a convex domain. We conjecture that for a fixed radius, this volume is minimized when the d…
math.DG2023
Convex valuations, from Whitney to Nash
Dmitry Faifman, Georg C. Hofstätter
We consider the Whitney problem for valuations: does a smooth -homogeneous translation-invariant valuation on exist that has given restrictions to a fixed family $…