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Funktsional'nyi Analiz i ego Prilozheniya, 2017, Volume 51, Issue 3, Pages 81–86
DOI: https://doi.org/10.4213/faa3459 (Mi faa3459) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Brief communications

Trace formulas for a discrete Schrödinger operator

E. L. Korotyaeva, A. Laptevb

a St. Petersburg State University, St. Petersburg, Russia
b Imperial College London, London, UK
Full-text PDF (162 kB) Citations (3)
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DOI: https://doi.org/10.4213/faa3459
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.
Keywords: trace formula, complex potential, eigenvalues.
Funding agency Grant number
Russian Science Foundation 15-11-30007
This work was supported by RSF grant No. 15-11-30007.
Received: 13.10.2016
English version:
Functional Analysis and Its Applications, 2017, Volume 51, Issue 3, Pages 225–229
DOI: https://doi.org/10.1007/s10688-017-0186-z
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: E. L. Korotyaev, A. Laptev, “Trace formulas for a discrete Schrödinger operator”, Funktsional. Anal. i Prilozhen., 51:3 (2017), 81–86; Funct. Anal. Appl., 51:3 (2017), 225–229
Citation in format AMSBIB
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\by E.~L.~Korotyaev, A.~Laptev
\paper Trace formulas for a discrete Schr\"odinger operator
\jour Funktsional. Anal. i Prilozhen.
\yr 2017
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\pages 81--86
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\issue 3
\pages 225--229
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Linking options:
  • https://www.mathnet.ru/eng/faa3459
  • https://doi.org/10.4213/faa3459
  • https://www.mathnet.ru/eng/faa/v51/i3/p81
    • This publication is cited in the following 3 articles:
    1. E. L. Korotyaev, “Trace formulas for Schrödinger operators on a lattice”, Russ. J. Math. Phys., 29:4 (2022), 542  crossref  mathscinet
    2. E. Gül, T. L. Gill, “Regularized trace for operators on a separable Banach space”, Mediterr. J. Math., 19:4 (2022), 156  crossref
    3. A. I. Aptekarev, S. A. Denisov, M. L. Yattselev, “Discrete Schrödinger Operator on a Tree, Angelesco Potentials, and Their Perturbations”, Proc. Steklov Inst. Math., 311 (2020), 1–9  mathnet  crossref  crossref  mathscinet  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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