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Izvestiya: Mathematics, 2011, Volume 75, Issue 3, Pages 445–469
DOI: https://doi.org/10.1070/IM2011v075n03ABEH002540 (Mi im4202) 		 
This article is cited in 78 scientific papers (total in 78 papers)

The method of similar operators in the spectral analysis of non-self-adjoint Dirac operators with non-smooth potentials

A. G. Baskakov, A. V. Derbushev, A. O. Shcherbakov

Voronezh State University
English version PDF (382 kB) Citations (78)
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DOI: https://doi.org/10.1070/IM2011v075n03ABEH002540
Abstract: We use the method of similar operators to study the spectral properties of Dirac operators, and obtain results on the asymptotic behaviour of the spectra of Dirac operators and the convergence of spectral expansions.
Keywords: spectrum of an operator, Dirac operator, asymptotic behaviour of the spectrum, spectral expansions, method of similar operators.
Received: 17.08.2009
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2011, Volume 75, Issue 3, Pages 3–28
DOI: https://doi.org/10.4213/im4202
Bibliographic databases:
Document Type: Article
UDC: 517.19
MSC: 47A55, 47B40, 34L10, 34L20, 34L40
Language: English
Original paper language: Russian
Citation: A. G. Baskakov, A. V. Derbushev, A. O. Shcherbakov, “The method of similar operators in the spectral analysis of non-self-adjoint Dirac operators with non-smooth potentials”, Izv. RAN. Ser. Mat., 75:3 (2011), 3–28; Izv. Math., 75:3 (2011), 445–469
Citation in format AMSBIB
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  • https://doi.org/10.1070/IM2011v075n03ABEH002540
  • https://www.mathnet.ru/eng/im/v75/i3/p3
    • This publication is cited in the following 78 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:2260
    Russian version PDF:365
    English version PDF:28
    References:127
    First page:46
     
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