4 papers
math.CV2026
A Disk-Growth Remez Principle and a Modular Proof of the Measurable Turán-Nazarov Inequality
Omer Friedland
We give a modular proof of the measurable Turán-Nazarov inequality for exponential polynomials. The proof first establishes a Remez principle for holomorphic functions satisfying…
math.AP2026
On the inner radius of the nonvanishing set for eigenfunctions of complex elliptic operators
Henrik Ueberschaer, Omer Friedland
Let be any open set. We consider solutions of , , where is an th order complex constant-coefficient elliptic partial…
math.FA2026
An improved lower bound on the Banach--Mazur distance to the cross-polytope
Omer Friedland
Let be an matrix with independent standard Gaussian entries and let be the associated Gaussian Gluskin polytope (equivalently, a random -dimen…
math.AP2025
Local bounds for eigenfunctions of complex elliptic operators via diophantine problems
Omer Friedland, Henrik Ueberschaer
We prove local bounds on the amplitude of eigen- functions of complex constant-coefficient elliptic operators with a smooth potential on an arbitrary open subset of \R^d by estimat…