Geodesic
Direct and inverse problems for an operator with nonlocal potential
Sbornik. Mathematics, Tome 203 (2012) no. 12, pp. 1785-1807

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The spectrum of a selfadjoint operator which is a one-dimensional perturbation of the second derivative operator on a finite interval is analysed. It is shown that all the components of the one-dimensional perturbation can be recovered from two spectra up to complex conjugation. Bibliography: 13 titles.
Keywords: inverse spectral problem, one-dimensional perturbation of the second derivative operator. 
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     author = {V. A. Zolotarev},
     title = {Direct and inverse problems for an operator with nonlocal potential},
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     url = {http://geodesic.mathdoc.fr/item/SM_2012_203_12_a5/}
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V. A. Zolotarev. Direct and inverse problems for an operator with nonlocal potential. Sbornik. Mathematics, Tome 203 (2012) no. 12, pp. 1785-1807. http://geodesic.mathdoc.fr/item/SM_2012_203_12_a5/