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Matematicheskie Zametki, 2000, Volume 67, Issue 5, Pages 755–763
DOI: https://doi.org/10.4213/mzm893 (Mi mzm893) 		 
This article is cited in 9 scientific papers (total in 9 papers)

The convergence of Fourier series in eigenfunctions of the Schrödinger operator with Kato potential

V. S. Serov

M. V. Lomonosov Moscow State University
Full-text PDF (207 kB) Citations (9)
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DOI: https://doi.org/10.4213/mzm893
Received: 17.03.1999
English version:
Mathematical Notes, 2000, Volume 67, Issue 5, Pages 639–645
DOI: https://doi.org/10.1007/BF02676337
Bibliographic databases:
UDC: 517.95
Language: Russian
Citation: V. S. Serov, “The convergence of Fourier series in eigenfunctions of the Schrödinger operator with Kato potential”, Mat. Zametki, 67:5 (2000), 755–763; Math. Notes, 67:5 (2000), 639–645
Citation in format AMSBIB
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\paper The convergence of Fourier series in eigenfunctions of the Schr\"odinger operator with Kato potential
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\pages 755--763
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\transl
\jour Math. Notes
\yr 2000
\vol 67
\issue 5
\pages 639--645
\crossref{https://doi.org/10.1007/BF02676337}
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  • https://www.mathnet.ru/eng/mzm893
  • https://doi.org/10.4213/mzm893
  • https://www.mathnet.ru/eng/mzm/v67/i5/p755
    • This publication is cited in the following 9 articles:
    1. V. S. Serov, “Green's Function Estimates for Elliptic Differential Operators with Singular Coefficients and Absolute Convergence of Fourier Series”, Math. Notes, 114:5 (2023), 920–935  mathnet  mathnet  crossref  scopus
    2. V. S. Serov, U. M. Kyllönen, “Convergence of Spectral Expansions Related to Elliptic Operators with Singular Coefficients”, Math. Notes, 111:3 (2022), 455–469  mathnet  mathnet  crossref  scopus
    3. Serov V., “Green's Function and Convergence of Fourier Series for Elliptic Differential Operators with Potential from Kato Space”, Abstract and Applied Analysis, 2010, 902638  mathscinet  zmath  isi
    4. Serov V.S., Kyllonen U.M., “A domain description and Green's function estimates up to the boundary for elliptic operator with singular potential”, Journal of Mathematical Analysis and Applications, 366:1 (2010), 11–23  crossref  mathscinet  zmath  isi  scopus  scopus
    5. Valery Serov, “Green's Function and Convergence of Fourier Series for Elliptic Differential Operators with Potential from Kato Space”, Abstract and Applied Analysis, 2010 (2010), 1  crossref
    6. Serov, VS, “The fundamental solution and Fourier series in eigenfunctions of the magnetic Schrodinger operator”, Journal of Physics A-Mathematical and Theoretical, 42:22 (2009), 225205  crossref  mathscinet  zmath  adsnasa  isi  scopus
    7. Serov, VS, “Fundamental solution and Fourier series in eigenfunctions of degenerate elliptic operator”, Journal of Mathematical Analysis and Applications, 329:1 (2007), 132  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    8. M. S. Agranovich, “Spectral problems for second-order strongly elliptic systems in smooth and non-smooth domains”, Russian Math. Surveys, 57:5 (2002), 847–920  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    9. Paivarinta, L, “An n-dimensional Borg-Levinson theorem for singular potentials”, Advances in Applied Mathematics, 29:4 (2002), 509  crossref  mathscinet  zmath  isi  scopus  scopus
    Citing articles in Google Scholar: Russian citations, English citations
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