A Sharp Lieb-Thirring Inequality for Functional Difference Operators
We prove sharp Lieb-Thirring type inequalities for the eigenvalues of a class of one-dimensional functional difference operators associated with mirror curves. We furthermore prove that the bottom of the essential spectrum of these operators is a resonance state.
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2021 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2021
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/211422 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | A Sharp Lieb-Thirring Inequality for Functional Difference Operators. Ari Laptev and Lukas Schimmer. SIGMA 17 (2021), 105, 10 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | We prove sharp Lieb-Thirring type inequalities for the eigenvalues of a class of one-dimensional functional difference operators associated with mirror curves. We furthermore prove that the bottom of the essential spectrum of these operators is a resonance state.
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| ISSN: | 1815-0659 |