Abstract
We consider the inverse scattering problem for the operator L=−d2/dx2+p(x)+q(x), x ∈ R1. The perturbation potential q is expressed in terms of the periodic potential p and the scattering data. We also obtain identities for the eigenfunctions of the unperturbed Hill's operator L0=−d2/dx2+p(x).
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More From: Mathematical Notes of the Academy of Sciences of the USSR
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