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Matematicheskie Zametki, 1973, Volume 13, Issue 6, Pages 857–868 (Mi mzm7190)  

This article is cited in 2 scientific papers (total in 2 papers)

Asymptotic of the resolvent series of a Volterra operator and its application

A. P. Khromov

Saratov State University
Full-text PDF (726 kB) Citations (2)
Abstract: The asymptotic of the resolvent kernels of some Volterra integral operators for large $\lambda$ is studied, and its application to the question of the expansion of finite perturbations of such operators in eigen- and associated functions is given.
Received: 16.03.1972
English version:
Mathematical Notes, 1973, Volume 13, Issue 6, Pages 513–519
DOI: https://doi.org/10.1007/BF01163960
Bibliographic databases:
UDC: 513.88
Language: Russian
Citation: A. P. Khromov, “Asymptotic of the resolvent series of a Volterra operator and its application”, Mat. Zametki, 13:6 (1973), 857–868; Math. Notes, 13:6 (1973), 513–519
Citation in format AMSBIB
\Bibitem{Khr73}
\by A.~P.~Khromov
\paper Asymptotic of the resolvent series of a~Volterra operator and its application
\jour Mat. Zametki
\yr 1973
\vol 13
\issue 6
\pages 857--868
\mathnet{http://mi.mathnet.ru/mzm7190}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=370080}
\zmath{https://zbmath.org/?q=an:0281.47030|0278.47029}
\transl
\jour Math. Notes
\yr 1973
\vol 13
\issue 6
\pages 513--519
\crossref{https://doi.org/10.1007/BF01163960}
Linking options:
  • https://www.mathnet.ru/eng/mzm7190
  • https://www.mathnet.ru/eng/mzm/v13/i6/p857
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
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