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Algebra i Analiz, 2021, Volume 33, Issue 2, Pages 215–232 (Mi aa1753)  
This article is cited in 2 scientific papers (total in 2 papers)

Research Papers

Eigenvalue asymptotics for polynomially compact pseudodifferential operators

G. Rozenblumabc

a The University of Gothenburg (Sweden)
b Chalmers University of Technology (Sweden)
c Dept. Math. Physics, St.Petersburg State University St.Petersburg, Russia
Full-text PDF (270 kB) Citations (2)
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Abstract: The asymptotics is found for eigenvalues of polynomially compact pseudodifferential operators of the zeroth order.
Keywords: eigenvalue asymptotics, pseudodifferential operators, Neumann–Poincare operator, 3D elasticity.
Funding agency Grant number
Russian Science Foundation 20-11-20032
The author was supported by grant RScF №20-11-20032.
Received: 12.03.2020
English version:
St. Petersburg Mathematical Journal, 2022, Volume 33, Issue 2, Pages 341–353
DOI: https://doi.org/10.1090/spmj/1703
Document Type: Article
Language: English
Citation: G. Rozenblum, “Eigenvalue asymptotics for polynomially compact pseudodifferential operators”, Algebra i Analiz, 33:2 (2021), 215–232; St. Petersburg Math. J., 33:2 (2022), 341–353
Citation in format AMSBIB
\Bibitem{Roz21}
\by G.~Rozenblum
\paper Eigenvalue asymptotics for polynomially compact pseudodifferential operators
\jour Algebra i Analiz
\yr 2021
\vol 33
\issue 2
\pages 215--232
\mathnet{http://mi.mathnet.ru/aa1753}
\transl
\jour St. Petersburg Math. J.
\yr 2022
\vol 33
\issue 2
\pages 341--353
\crossref{https://doi.org/10.1090/spmj/1703}
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  • https://www.mathnet.ru/eng/aa1753
  • https://www.mathnet.ru/eng/aa/v33/i2/p215
    • This publication is cited in the following 2 articles:
    1. Grigori Rozenblum, “The discrete spectrum of the Neumann-Poincaré operator in 3D elasticity”, J. Pseudo-Differ. Oper. Appl., 14:2 (2023)  crossref
    2. Shota Fukushima, Yong-Gwan Ji, Hyeonbae Kang, “A decomposition theorem of surface vector fields and spectral structure of the Neumann-Poincaré operator in elasticity”, Trans. Amer. Math. Soc., 2023  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и анализ St. Petersburg Mathematical Journal
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    Full-text PDF :34
    References:42
    First page:20
     
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