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Inverse Scattering Properties with Levinson Formula for the Cubic Eigenparameter-Dependent Discrete Dirac Problem

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We present some properties of zeros of the Jost function and of the scattering function. Then the uniqueness of the kernel and the continuity of the scattering function with appropriate Levinson-type formula are investigated for the inverse discrete Dirac problem based on the cubic eigenparameter-dependent boundary condition.

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