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arXiv · 2001.05771

Direct and inverse problems for a periodic problem with non-local potential

Vladimir A. Zolotarev
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Abstract

Sum of a second derivative operator with periodic boundary conditions and an integral operator of rank one (non-local potential) is studied in this manuscript. Not only spectral analysis is conducted for this operator but the inverse problem is solved, viz., a method of the reconstruction of non-local potential by the spectral data is presented. Class of spectral data that give the solution to the inverse problem is described.

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Vladimir A. Zolotarev. 2020-01-16. Direct and inverse problems for a periodic problem with non-local potential. https://arxiv.org/abs/2001.05771

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