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Funktsional'nyi Analiz i ego Prilozheniya, 2022, Volume 56, Issue 4, Pages 3–16
DOI: https://doi.org/10.4213/faa4018 (Mi faa4018) 		 
This article is cited in 7 scientific papers (total in 7 papers)

On Bloch solutions of difference equations

D. I. Borisovabc, A. A. Fedotovd

a Institute of Mathematics with Computing Centre, Ufa Federal Research Centre, Russian Academy of Sciences, Ufa
b Bashkir State University, Ufa
c University of Hradec Králové
d Saint Petersburg State University
Full-text PDF (635 kB) Citations (7)
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DOI: https://doi.org/10.4213/faa4018
Abstract: Bloch solutions of the difference Schrödinger equation with periodic complex potential on the real line are discussed. The case where the spectral parameter is outside the spectrum of the corresponding Schrödinger operator is considered.
Keywords: difference equations on the real line, periodic coefficients, Bloch solutions.
Funding agency Grant number
Russian Science Foundation 22-11-00092
Received: 23.05.2022
Revised: 10.06.2022
Accepted: 14.06.2022
English version:
Functional Analysis and Its Applications, 2022, Volume 56, Issue 4, Pages 239–250
DOI: https://doi.org/10.1134/S0016266322040013
Bibliographic databases:
Document Type: Article
UDC: 517.962.22
Language: Russian
Citation: D. I. Borisov, A. A. Fedotov, “On Bloch solutions of difference equations”, Funktsional. Anal. i Prilozhen., 56:4 (2022), 3–16; Funct. Anal. Appl., 56:4 (2022), 239–250
Citation in format AMSBIB
\Bibitem{BorFed22}
\by D.~I.~Borisov, A.~A.~Fedotov
\paper On Bloch solutions of difference equations
\jour Funktsional. Anal. i Prilozhen.
\yr 2022
\vol 56
\issue 4
\pages 3--16
\mathnet{http://mi.mathnet.ru/faa4018}
\crossref{https://doi.org/10.4213/faa4018}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4574257}
\transl
\jour Funct. Anal. Appl.
\yr 2022
\vol 56
\issue 4
\pages 239--250
\crossref{https://doi.org/10.1134/S0016266322040013}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85152662275}
Linking options:
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  • https://doi.org/10.4213/faa4018
  • https://www.mathnet.ru/eng/faa/v56/i4/p3
    • This publication is cited in the following 7 articles:
    1. Habib Ammari, Silvio Barandun, Ping Liu, Alexander Uhlmann, “Generalized Brillouin zone for non-reciprocal systems”, Proc. R. Soc. A., 481:2310 (2025)  crossref
    2. Habib Ammari, Silvio Barandun, Jinghao Cao, Bryn Davies, Erik Orvehed Hiltunen, “Mathematical Foundations of the Non-Hermitian Skin Effect”, Arch Rational Mech Anal, 248:3 (2024)  crossref  mathscinet
    3. A. Fedotov, K. Sedov, “A Series of Spectral Gaps for the Ganeshan–Pixley–Das Sarma Model”, Russ. J. Math. Phys., 31:4 (2024), 622  crossref
    4. A. A. Fedotov, “A series of spectral gaps for the almost Mathieu operator with a small coupling constant”, Math. Notes, 116:5 (2024), 1100–1143  mathnet  mathnet  crossref
    5. A. A. Fedotov, “Close Turning Points and the Harper Operator”, Math. Notes, 113:5 (2023), 741–746  mathnet  crossref  crossref  mathscinet
    6. A. A. Fedotov, “Complex WKB method (one-dimensional linear problems on the complex plane)”, Math Notes, 114:5-6 (2023), 1418  crossref
    7. D. I. Borisov, A. A. Fedotov, “Monodromization and a PT-symmetric nonself-adjoint quasi-periodic operator”, Russ. J. Math. Phys., 30:3 (2023), 294  crossref  mathscinet
    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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