Geodesic
The scattering problem for step-like Jacobi operator
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 9 (2002) no. 2, pp. 188-205 Cet article a éte moissonné depuis la source Math-Net.Ru

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The direct/inverse problem is solved for the step-like Jacobi operator in the prescribed class of convergence of the operator coefficients to their limits. The characterization of scattering data is given by means of Marchenko approach ([7]). 
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     author = {I. Egorova},
     title = {The scattering problem for step-like {Jacobi} operator},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {188--205},
     year = {2002},
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I. Egorova. The scattering problem for step-like Jacobi operator. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 9 (2002) no. 2, pp. 188-205. http://geodesic.mathdoc.fr/item/JMAG_2002_9_2_a4/