Eigenvalues of non-selfadjoint functional difference operators
Spectral Theory
2025-04-10 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.2504.06858,
title = {Eigenvalues of non-selfadjoint functional difference operators},
author = {Alexei Ilyin and Ari Laptev and Lukas Schimmer and Anna Zernova},
journal= {arXiv preprint arXiv:2504.06858},
year = {2025}
}
Comments
12 pages, 3 figures. arXiv admin note: text overlap with arXiv:2109.05465