Geodesic
Finite difference operators with a finite band spectrum
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 11 (2004) no. 3, pp. 331-340 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     author = {M. Shapiro and V. Vinnikov and P. Yuditskii},
     title = {Finite difference operators with a finite band spectrum},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {331--340},
     year = {2004},
     volume = {11},
     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JMAG_2004_11_3_a5/}
}
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M. Shapiro; V. Vinnikov; P. Yuditskii. Finite difference operators with a finite band spectrum. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 11 (2004) no. 3, pp. 331-340. http://geodesic.mathdoc.fr/item/JMAG_2004_11_3_a5/