Geodesic
Jacobi operator with step-like asymptotically periodic coefficients
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 10 (2003) no. 3, pp. 425-442 Cet article a éte moissonné depuis la source Math-Net.Ru

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The direct/inverse scattering problem is considered for the Jacobi operator with different asymptotically periodic coefficients on the half axes. It is supposed that the backgrounds on the half-axes have the period 2 and the perturbation has the second finite moment. The problem is studied by means of the generalized Marchenko approach ([8], [2]). 
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     author = {J. Bazargan and I. Egorova},
     title = {Jacobi operator with step-like asymptotically periodic coefficients},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {425--442},
     year = {2003},
     volume = {10},
     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JMAG_2003_10_3_a9/}
}
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J. Bazargan; I. Egorova. Jacobi operator with step-like asymptotically periodic coefficients. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 10 (2003) no. 3, pp. 425-442. http://geodesic.mathdoc.fr/item/JMAG_2003_10_3_a9/