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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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2021 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2021
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/211422 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | A Sharp Lieb-Thirring Inequality for Functional Difference Operators. Ari Laptev and Lukas Schimmer. SIGMA 17 (2021), 105, 10 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862626995638108160 |
|---|---|
| author | Laptev, Ari Schimmer, Lukas |
| author_facet | Laptev, Ari Schimmer, Lukas |
| citation_txt | A Sharp Lieb-Thirring Inequality for Functional Difference Operators. Ari Laptev and Lukas Schimmer. SIGMA 17 (2021), 105, 10 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
|
| first_indexed | 2026-03-14T16:00:25Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211422 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-14T16:00:25Z |
| publishDate | 2021 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Laptev, Ari Schimmer, Lukas 2026-01-02T08:29:34Z 2021 A Sharp Lieb-Thirring Inequality for Functional Difference Operators. Ari Laptev and Lukas Schimmer. SIGMA 17 (2021), 105, 10 pages 1815-0659 2020 Mathematics Subject Classification: 47A75; 81Q10 arXiv:2109.05465 https://nasplib.isofts.kiev.ua/handle/123456789/211422 https://doi.org/10.3842/SIGMA.2021.105 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. A. Laptev was partially supported by an RSF grant 18-11-0032. L. Schimmer was supported by a VR grant 2017-04736 at the Royal Swedish Academy of Sciences. The authors would like to thank the anonymous referees for their useful comments to improve the article. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications A Sharp Lieb-Thirring Inequality for Functional Difference Operators Article published earlier |
| spellingShingle | A Sharp Lieb-Thirring Inequality for Functional Difference Operators Laptev, Ari Schimmer, Lukas |
| title | A Sharp Lieb-Thirring Inequality for Functional Difference Operators |
| title_full | A Sharp Lieb-Thirring Inequality for Functional Difference Operators |
| title_fullStr | A Sharp Lieb-Thirring Inequality for Functional Difference Operators |
| title_full_unstemmed | A Sharp Lieb-Thirring Inequality for Functional Difference Operators |
| title_short | A Sharp Lieb-Thirring Inequality for Functional Difference Operators |
| title_sort | sharp lieb-thirring inequality for functional difference operators |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211422 |
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