Inverse spectral problem for the operators with non‐local potential

Vladimir A. Zolotarev

Mathematische Nachrichten, 2019, vol. 292, issue 3, 661-681

Abstract: The main object under consideration in the paper is the second derivative operator on a finite interval with zero boundary conditions perturbed by a self‐adjoint integral operator with the degenerate kernel (non‐local potential). The inverse problem, i.e., the reconstruction of the perturbation from the spectral data, is solved by means of the step‐by‐step procedure based on the n‐interlacing property of the spectrum.

Date: 2019
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