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Funktsional'nyi Analiz i ego Prilozheniya, 2009, Volume 43, Issue 3, Pages 54–64
DOI: https://doi.org/10.4213/faa2965 (Mi faa2965) 		 
This article is cited in 2 scientific papers (total in 3 papers)

Perturbation of the Spectrum of a Differential Operator under a Bounded Perturbation of the Potential

R. S. Ismagilova, A. G. Kostyuchenkob

a N. E. Bauman Moscow State Technical University
b M. V. Lomonosov Moscow State University
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DOI: https://doi.org/10.4213/faa2965
Abstract: We consider a perturbation of a differential operator by a bounded measurable function. We prove that if a certain mean of this function has a limit, then the sequence of Cesaro means of the perturbation of the spectrum has the same limit.
Keywords: spectrum, perturbation, averaging, Green function.
Received: 17.05.2009
English version:
Functional Analysis and Its Applications, 2009, Volume 43, Issue 3, Pages 208–216
DOI: https://doi.org/10.1007/s10688-009-0028-8
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: R. S. Ismagilov, A. G. Kostyuchenko, “Perturbation of the Spectrum of a Differential Operator under a Bounded Perturbation of the Potential”, Funktsional. Anal. i Prilozhen., 43:3 (2009), 54–64; Funct. Anal. Appl., 43:3 (2009), 208–216
Citation in format AMSBIB
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    • This publication is cited in the following 3 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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