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arXiv · 2602.04828

Resonances sets of Schrödinger operators

Yurii Belov·Pavel Gubkin
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Abstract

We prove that resonances of the Schrödinger operator with compactly supported potential can contain arbitrary subset of the angle $\{z: -\text{Im} z > C |\text{Re} z|\}$ that satisfies Blaschke condition. We also establish sufficient conditions for the subsets of wider domains.

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Yurii Belov, Pavel Gubkin. 2026-02-04. Resonances sets of Schrödinger operators. https://arxiv.org/abs/2602.04828

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