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Trace formulas for a discrete Schrödinger operator. / Korotyaev, E. L.; Laptev, Ari.

In: Functional Analysis and its Applications, Vol. 51, No. 3, 01.07.2017, p. 225-229.

Research output: Contribution to journal › Article › peer-review

Harvard

Korotyaev, EL & Laptev, A 2017, 'Trace formulas for a discrete Schrödinger operator', Functional Analysis and its Applications, vol. 51, no. 3, pp. 225-229. https://doi.org/10.1007/s10688-017-0186-z

APA

Korotyaev, E. L., & Laptev, A. (2017). Trace formulas for a discrete Schrödinger operator. Functional Analysis and its Applications, 51(3), 225-229. https://doi.org/10.1007/s10688-017-0186-z

Vancouver

Korotyaev EL, Laptev A. Trace formulas for a discrete Schrödinger operator. Functional Analysis and its Applications. 2017 Jul 1;51(3):225-229. https://doi.org/10.1007/s10688-017-0186-z

Author

Korotyaev, E. L. ; Laptev, Ari. / Trace formulas for a discrete Schrödinger operator. In: Functional Analysis and its Applications. 2017 ; Vol. 51, No. 3. pp. 225-229.

BibTeX

@article{b6759d93086d4f808ebde44bfa2af4e8,
title = "Trace formulas for a discrete Schr{\"o}dinger operator",
abstract = "The Schr{\"o}dinger 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.",
keywords = "complex potential, eigenvalues, trace formula",
author = "Korotyaev, {E. L.} and Ari Laptev",
year = "2017",
month = jul,
day = "1",
doi = "10.1007/s10688-017-0186-z",
language = "English",
volume = "51",
pages = "225--229",
journal = "Functional Analysis and its Applications",
issn = "0016-2663",
publisher = "Springer Nature",
number = "3",

}

RIS

TY - JOUR

T1 - Trace formulas for a discrete Schrödinger operator

AU - Korotyaev, E. L.

AU - Laptev, Ari

PY - 2017/7/1

Y1 - 2017/7/1

N2 - 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.

AB - 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.

KW - complex potential

KW - eigenvalues

KW - trace formula

UR - http://www.scopus.com/inward/record.url?scp=85029750311&partnerID=8YFLogxK

U2 - 10.1007/s10688-017-0186-z

DO - 10.1007/s10688-017-0186-z

M3 - Article

AN - SCOPUS:85029750311

VL - 51

SP - 225

EP - 229

JO - Functional Analysis and its Applications

JF - Functional Analysis and its Applications

SN - 0016-2663

IS - 3

ER -

ID: 35631092