Anton Kutsenko

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Consider the discrete 1D Schrödinger operator on Z with an odd 2k periodic potential q. For small potentials we show that the mapping: q → heights of vertical slits on the quasi-momentum domain (similar to the Marchenko-Ostrovski maping for the Hill operator) is a local isomorphism and the isospectral set consists of 2 k distinct potentials. Finally, the(More)
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