A sharp Lieb-Thirring inequality for functional difference operators
journal contribution
posted on 2023-11-21, 16:56 authored by Ari Laptev, Lukas SchimmerLukas SchimmerWe 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.
Funding
RSF grant 18-11-0032
VR grant 2017-04736 at the Royal Swedish Academy of Sciences
History
School
- Science
Department
- Mathematical Sciences
Published in
Symmetry, Integrability and Geometry: Methods and ApplicationsVolume
17Issue
2021Publisher
SIGMA (Symmetry, Integrability and Geometry: Methods and Application)Version
- VoR (Version of Record)
Rights holder
© The authorsPublisher statement
This is an Open Access article published by SIGMA under a CC BY-SA 4.0 license https://creativecommons.org/licenses/by-sa/4.0/Acceptance date
2021-11-25Publication date
2021-12-06Copyright date
2021eISSN
1815-0659Publisher version
Language
- en
