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Mat. Zametki, 2016, Volume 99, Issue 4, Pages 613–617 (Mi mz11060)  

This article is cited in 4 scientific papers (total in 4 papers)

Brief Communications

Spectral Properties of the Hill Operator

A. G. Baskakov, D. M. Polyakov

Voronezh State University

Keywords: Hill operator, Hilbert space $L_2[0,\omega]$, method of similar operators, Dunford spectral operator, $\theta$-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).


DOI: https://doi.org/10.4213/mzm11060

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English version:
Mathematical Notes, 2016, 99:4, 598–602

Bibliographic databases:

Received: 08.10.2015

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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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Polyakov D.M., “Spectral properties of an even-order differential operator”, Differ. Equ., 52:8 (2016), 1098–1103  crossref  mathscinet  zmath  isi  elib  scopus
    2. 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  adsnasa  isi  elib
    3. 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
    4. N. B. Uskova, “Matrichnyi analiz spektralnykh proektorov vozmuschennykh samosopryazhennykh operatorov”, Sib. elektron. matem. izv., 16 (2019), 369–405  mathnet  crossref  mathscinet
  • Математические заметки Mathematical Notes
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