47 citations · 98 across the 20 of their papers we have counts for
24 papers
The Faber-Krahn position of convex bodies and Gaussian measure inequalities
Dmitry Faifman, Iosif Polterovich
We say that a convex body is in Faber-Krahn position if it minimizes the first Dirichlet eigenvalue within its volume-preserving linear orbit. We prove that this position is unique…
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…
Stability in the Banach isometric conjecture and nearly monochromatic Finsler surfaces
Gautam Aishwarya, Dmitry Faifman
The Banach isometric conjecture asserts that a normed space with all of its -dimensional subspaces isometric, where , is Euclidean. The first case of is classical…
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…
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…