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Trace formulas for a discrete Schrodinger operator
File(s)
KorLap_Rus03 revised.pdf (324.83 KB)
Accepted version
Author(s)
Korotyaev, EL
Laptev, A
Type
Journal Article
Abstract
The Schrödinger operator with complex decaying potential on a lattice is considered. Trace formulas are derived on the basis of classical results of complex analysis. These formulas are applied to obtain global estimates of all zeros of the Fredholm determinant in terms of the potential.
Date Issued
2017-09-21
Date Acceptance
2016-10-13
Citation
Functional Analysis and Its Applications, 2017, 51 (3), pp.225-229
URI
DOI
ISSN
0016-2663
Publisher
Springer Verlag
Start Page
225
End Page
229
Journal / Book Title
Functional Analysis and Its Applications
Volume
51
Issue
3
Copyright Statement
The final publication is available at Springer via http://dx.doi.org/10.1007/s10688-017-0186-z
Subjects
Science & Technology
Physical Sciences
Mathematics, Applied
Mathematics
trace formula
complex potential
eigenvalues
COMPLEX-VALUED POTENTIALS
EIGENVALUES
Publication Status
Published