Resonances sets of Schr\"{o}dinger operators
Spectral Theory
2026-02-05 v1 Complex Variables
Abstract
We prove that resonances of the Schr\"{o}dinger operator with compactly supported potential can contain arbitrary subset of the angle that satisfies Blaschke condition. We also establish sufficient conditions for the subsets of wider domains.
Keywords
Cite
@article{arxiv.2602.04828,
title = {Resonances sets of Schr\"{o}dinger operators},
author = {Yurii Belov and Pavel Gubkin},
journal= {arXiv preprint arXiv:2602.04828},
year = {2026}
}