Eigenvalues of non-selfadjoint functional difference operators

Alexei Ilyin; Ari Laptev; Lukas Schimmer; Anna Zernova

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arXiv · 2504.06858

Eigenvalues of non-selfadjoint functional difference operators

Alexei Ilyin·Ari Laptev·Lukas Schimmer·Anna Zernova

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Abstract

Using the well known approach developed in the papers of B. Davies and his co-authors we obtain inequalities for the location of possible complex eigenvalues of non-selfadjoint functional difference operators. When studying the sharpness of the main result we discovered that complex potentials can create resonances.

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BibTeX RIS

Alexei Ilyin, Ari Laptev, Lukas Schimmer, Anna Zernova. 2025-04-09. Eigenvalues of non-selfadjoint functional difference operators. https://arxiv.org/abs/2504.06858

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