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Resonances sets of Schrödinger operators

  • Yurii Belov

    St. Petersburg State University, Russia

  • Pavel Gubkin

    St. Petersburg State University, Russia; St. Petersburg Department of Steklov Mathematical Institute, Russian Academy of Sciences, Russia
Resonances sets of Schrödinger operators cover

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Abstract

We prove that resonances of the Schrödinger 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.

Cite this article

Yurii Belov, Pavel Gubkin, Resonances sets of Schrödinger operators. J. Spectr. Theory (2026), published online first

DOI 10.4171/JST/636