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Matematicheskaya Fizika, Analiz, Geometriya [Mathematical Physics, Analysis, Geometry], 2004, Volume 11, Number 3, Pages 331–340 (Mi jmag211)  
This article is cited in 2 scientific papers (total in 2 papers)

Finite difference operators with a finite band spectrum

M. Shapiroa, V. Vinnikovb, P. Yuditskiic

a Department of Mathematics, Michigan State University, East Lansing, MI 48824
b Department of Mathematics, Ben-Gurion University, P.O. Box 653, Beer-Sheva, 84105, Israel
c Institute for Analysis, Johannes Kepler University of Linz, A-4040 Linz, Austria
Full-text PDF (256 kB) Citations (2)
Abstract: We discuss a functional model for multidiagonal selfadjoint operators with almost periodic coefficients that generalizes the well known model for finite band Jacobi matrices. It give us an opportunity to construct examples of almost periodic operators with different spectral properties. Main result deals with an exact condition for the uniqueness of the model of the given type.
Received: 28.11.2003
Bibliographic databases:
Document Type: Article
Language: English
Citation: M. Shapiro, V. Vinnikov, P. Yuditskii, “Finite difference operators with a finite band spectrum”, Mat. Fiz. Anal. Geom., 11:3 (2004), 331–340
Citation in format AMSBIB
\Bibitem{ShaVinYud04}
\by M.~Shapiro, V.~Vinnikov, P.~Yuditskii
\paper Finite difference operators with a finite band spectrum
\jour Mat. Fiz. Anal. Geom.
\yr 2004
\vol 11
\issue 3
\pages 331--340
\mathnet{http://mi.mathnet.ru/jmag211}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2104844}
\zmath{https://zbmath.org/?q=an:1097.47031}
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  • https://www.mathnet.ru/eng/jmag/v11/i3/p331
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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