O. Friedland

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math.AP2026

On the inner radius of the nonvanishing set for eigenfunctions of complex elliptic operators

Henrik Ueberschaer, Omer Friedland

Let $I^c ◯ \subset R^{d}$ be any open set. We consider solutions of $H I ¨ _{I^} » = I^» I ¨ _{I^} »$ , $I^» \in C$ , where $H$ is an $m$ th order complex constant-coefficient elliptic partial…

math.AP2025

Local $l^{\infty}$ 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…

On the inner radius of the nonvanishing set for eigenfunctions of complex elliptic operators

Local l∞ bounds for eigenfunctions of complex elliptic operators via diophantine problems

Local $l^{\infty}$ bounds for eigenfunctions of complex elliptic operators via diophantine problems