Geodesic
The scattering problem for nonlocal potentials
Sbornik. Mathematics, Tome 205 (2014) no. 11, pp. 1564-1598

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We solve the direct and inverse scattering problems for integro-differential operators which are one-dimensional perturbations of the self-adjoint second derivative operator on the half-axis. We also describe the scattering data for this class of operators. Bibliography: 28 titles.
Keywords: nonlocal potential, inverse scattering problem.
Mots-clés : one-dimensional perturbation 
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     author = {V. A. Zolotarev},
     title = {The scattering problem for nonlocal potentials},
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V. A. Zolotarev. The scattering problem for nonlocal potentials. Sbornik. Mathematics, Tome 205 (2014) no. 11, pp. 1564-1598. http://geodesic.mathdoc.fr/item/SM_2014_205_11_a1/