A sharp lieb-thirring inequality for functional difference operators
File(s)MirrorLTsharp.pdf (369.47 KB)
Accepted version
Author(s)
Laptev, A
Schimmer, L
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.
Date Issued
2021-12-06
Date Acceptance
2021-12-01
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).
Identifier
https://www.emis.de/journals/SIGMA/2021/105/
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Subjects
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
Date Publish Online
2021-12-06