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 Mat. Zametki: Year: Volume: Issue: Page: Find

 Mat. Zametki, 2000, Volume 67, Issue 5, Pages 755–763 (Mi mz893)

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

V. S. Serov

M. V. Lomonosov Moscow State University

DOI: https://doi.org/10.4213/mzm893

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English version:
Mathematical Notes, 2000, 67:5, 639–645

Bibliographic databases:

UDC: 517.95

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
\Bibitem{Ser00} \by V.~S.~Serov \paper The convergence of Fourier series in eigenfunctions of the Schr\"odinger operator with Kato potential \jour Mat. Zametki \yr 2000 \vol 67 \issue 5 \pages 755--763 \mathnet{http://mi.mathnet.ru/mz893} \crossref{https://doi.org/10.4213/mzm893} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=1822624} \zmath{https://zbmath.org/?q=an:1128.35314} \transl \jour Math. Notes \yr 2000 \vol 67 \issue 5 \pages 639--645 \crossref{https://doi.org/10.1007/BF02676337} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000088603800014} 

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• https://doi.org/10.4213/mzm893
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Citing articles on Google Scholar: Russian citations, English citations
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This publication is cited in the following articles:
1. 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
2. Paivarinta, L, “An n-dimensional Borg-Levinson theorem for singular potentials”, Advances in Applied Mathematics, 29:4 (2002), 509
3. Serov, VS, “Fundamental solution and Fourier series in eigenfunctions of degenerate elliptic operator”, Journal of Mathematical Analysis and Applications, 329:1 (2007), 132
4. 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
5. 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
6. 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
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