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Funktsional'nyi Analiz i ego Prilozheniya, 2007, Volume 41, Issue 1, Pages 39–51
DOI: https://doi.org/10.4213/faa2852 (Mi faa2852) 		 
This article is cited in 7 scientific papers (total in 8 papers)

On the Spectrum of a Vector Schrödinger Operator

R. S. Ismagilova, A. G. Kostyuchenkob

a N. E. Bauman Moscow State Technical University
b M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (216 kB) Citations (8)
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DOI: https://doi.org/10.4213/faa2852
Abstract: We consider the asymptotics of the spectrum of a Sturm–Liouville operator acting on a space of vector functions and show that this asymptotics is affected by “rotation” of eigenvectors of the potential. A similar result is obtained for a vector Schrödinger operator.
Keywords: Schrödinger operator, self-adjointness, discrete spectrum, counting function.
Received: 19.04.2006
English version:
Functional Analysis and Its Applications, 2007, Volume 41, Issue 1, Pages 31–41
DOI: https://doi.org/10.1007/s10688-007-0003-1
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: R. S. Ismagilov, A. G. Kostyuchenko, “On the Spectrum of a Vector Schrödinger Operator”, Funktsional. Anal. i Prilozhen., 41:1 (2007), 39–51; Funct. Anal. Appl., 41:1 (2007), 31–41
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    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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