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Matematicheskie Zametki, 1968, Volume 3, Issue 5, Pages 529–538 (Mi mzm6710)  
This article is cited in 3 scientific papers (total in 3 papers)

On a problem of Bochner and von Neumann

V. V. Zhikov

M. V. Lomonosov Moscow State University
Full-text PDF (731 kB) Citations (3)
Abstract: The following theorem is proved. If there exists an everywhere dense set ΓΓ such that every solution of the equation v′t=−iA∗v satisfying the condition v(0)∈Γ is defined on the entire axis and is bounded, then every compact solution of the equation u′t=iAu is an almost-periodic function.
Received: 06.07.1967
English version:
Mathematical Notes, 1968, Volume 3, Issue 5, Pages 337–342
DOI: https://doi.org/10.1007/BF01150985
Bibliographic databases:
UDC: 513.88
Language: Russian
Citation: V. V. Zhikov, “On a problem of Bochner and von Neumann”, Mat. Zametki, 3:5 (1968), 529–538; Math. Notes, 3:5 (1968), 337–342
Citation in format AMSBIB
\Bibitem{Zhi68}
\by V.~V.~Zhikov
\paper On a~problem of Bochner and von Neumann
\jour Mat. Zametki
\yr 1968
\vol 3
\issue 5
\pages 529--538
\mathnet{http://mi.mathnet.ru/mzm6710}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=228802}
\zmath{https://zbmath.org/?q=an:0179.47401}
\transl
\jour Math. Notes
\yr 1968
\vol 3
\issue 5
\pages 337--342
\crossref{https://doi.org/10.1007/BF01150985}
Linking options:
  • https://www.mathnet.ru/eng/mzm6710
  • https://www.mathnet.ru/eng/mzm/v3/i5/p529
    • This publication is cited in the following 3 articles:
    1. Du W.-Sh. Kostic M. Pinto M., “Almost Periodic Functions and Their Applications: a Survey of Results and Perspectives”, J. Math., 2021 (2021)  crossref  isi
    2. A. I. Shtern, “Almost periodic functions and representations in locally convex spaces”, Russian Math. Surveys, 60:3 (2005), 489–557  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    3. V. V. Zhikov, B. M. Levitan, “Favard theory”, Russian Math. Surveys, 32:2 (1977), 129–180  mathnet  crossref  mathscinet  zmath
    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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