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A sharp lieb-thirring inequality for functional difference operators
| File | Description | Size | Format | |
|---|---|---|---|---|
 MirrorLTsharp.pdf | Accepted version | 369.47 kB | Adobe PDF | View/Open |
| Title: | A sharp lieb-thirring inequality for functional difference operators |
| Authors: | Laptev, A Schimmer, L |
| Item Type: | Journal Article |
| Abstract: | We prove sharp Lieb-Thirring type inequalities for the eigenvalues of a class of one-dimensional functional difference operators associated to mirror curves. We furthermore prove that the bottom of the essential spectrum of these operators is a resonance state. |
| Issue Date: | 6-Dec-2021 |
| Date of Acceptance: | 1-Dec-2021 |
| URI: | http://hdl.handle.net/10044/1/93565 |
| DOI: | 10.3842/SIGMA.2021.105 |
| ISSN: | 1815-0659 |
| Publisher: | National Academy of Science of Ukraine |
| Start Page: | 1 |
| End Page: | 10 |
| Journal / Book Title: | Symmetry, Integrability and Geometry: Methods and Applications |
| Volume: | 17 |
| Copyright Statement: | © 2021 The Author(s). |
| Keywords: | Science & Technology Physical Sciences Physics, Mathematical Physics Lieb-Thirring inequality functional difference operator semigroup property TOPOLOGICAL STRINGS BOUNDS Science & Technology Physical Sciences Physics, Mathematical Physics Lieb-Thirring inequality functional difference operator semigroup property TOPOLOGICAL STRINGS BOUNDS 0101 Pure Mathematics 0102 Applied Mathematics 0105 Mathematical Physics |
| Publication Status: | Published |
| Article Number: | ARTN 105 |
| Online Publication Date: | 2021-12-06 |
| Appears in Collections: | Pure Mathematics Mathematics |