Eigenvalues of non-selfadjoint functional difference operators
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
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| _version_ | 1866912318221189120 |
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| author | Ilyin, Alexei Laptev, Ari Schimmer, Lukas Zernova, Anna |
| author_facet | Ilyin, Alexei Laptev, Ari Schimmer, Lukas Zernova, Anna |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_06858 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Eigenvalues of non-selfadjoint functional difference operators Ilyin, Alexei Laptev, Ari Schimmer, Lukas Zernova, Anna Spectral Theory Mathematical Physics 47A75, 81Q12 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. |
| title | Eigenvalues of non-selfadjoint functional difference operators |
| topic | Spectral Theory Mathematical Physics 47A75, 81Q12 |
| url | https://arxiv.org/abs/2504.06858 |