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Matematicheskie Zametki, 2016, Volume 99, Issue 4, Pages 613–617
DOI: https://doi.org/10.4213/mzm11060 (Mi mzm11060) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Brief Communications

Spectral Properties of the Hill Operator

A. G. Baskakov, D. M. Polyakov

Voronezh State University
Full-text PDF (361 kB) Citations (9)
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DOI: https://doi.org/10.4213/mzm11060
Keywords: Hill operator, Hilbert space L2[0,ω], method of similar operators, Dunford spectral operator, θ-balanced potential, Hilbert–Schmidt operator, equiconvergence.
Funding agency Grant number
Russian Science Foundation 14-21-00066
Russian Foundation for Basic Research 16-31-00027
The work of the first author was supported by the Russian Science Foundation under grant 14-21-00066 and was carried out in Voronezh State University (Theorems 1 and 2). The work of the second author was supported by the Russian Foundation for Basic Research under grant 16-31-00027 (Theorem 2).
Received: 08.10.2015
English version:
Mathematical Notes, 2016, Volume 99, Issue 4, Pages 598–602
DOI: https://doi.org/10.1134/S0001434616030330
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. G. Baskakov, D. M. Polyakov, “Spectral Properties of the Hill Operator”, Mat. Zametki, 99:4 (2016), 613–617; Math. Notes, 99:4 (2016), 598–602
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    1. A. M. Savchuk, I. V. Sadovnichaya, “Spectral Analysis of 1D Dirac System with Summable Potential and Sturm–Liouville Operator with Distribution Coefficients”, Diff Equat, 60:S2 (2024), 145  crossref
    2. A. M. Savchuk, I. V. Sadovnichaya, “Spektralnyi analiz odnomernoi sistemy Diraka s summiruemym potentsialom i operatora Shturma—Liuvillya s koeffitsientami-raspredeleniyami”, Spektralnyi analiz, SMFN, 66, no. 3, Rossiiskii universitet druzhby narodov, M., 2020, 373–530  mathnet  crossref
    3. O. Cabri, K. R. Mamedov, “On the Riesz basisness of root functions of a Sturm-Liouville operator with conjugate conditions”, Lobachevskii J. Math., 41:9, SI (2020), 1784–1790  crossref  mathscinet  isi
    4. O. Cabri, K. R. Mamedov, “Riesz basisness of root functions of a Sturm-Liouville operator with conjugate conditions”, Lobachevskii J. Math., 41:1, SI (2020), 1–6  crossref  mathscinet  isi
    5. N. B. Uskova, “Matrichnyi analiz spektralnykh proektorov vozmuschennykh samosopryazhennykh operatorov”, Sib. elektron. matem. izv., 16 (2019), 369–405  mathnet  crossref  mathscinet
    6. O. Cabri, “On the Riesz basis property of the root functions of a discontinuous boundary problem”, Math. Meth. Appl. Sci., 42:18 (2019), 6733–6740  crossref  mathscinet  isi  scopus
    7. A. G. Baskakov, D. M. Polyakov, “The method of similar operators in the spectral analysis of the Hill operator with nonsmooth potential”, Sb. Math., 208:1 (2017), 1–43  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    8. G. V. Garkavenko, N. B. Uskova, “Metod podobnykh operatorov v issledovanii spektralnykh svoistv raznostnykh operatorov s rastuschim potentsialom”, Sib. elektron. matem. izv., 14 (2017), 673–689  mathnet  crossref
    9. Polyakov D.M., “Spectral properties of an even-order differential operator”, Differ. Equ., 52:8 (2016), 1098–1103  crossref  mathscinet  zmath  isi  elib  scopus
    Citing articles in Google Scholar: Russian citations, English citations
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