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In the paper, we experimentally study the inverse problem with the resonantscattering determinant. We analyze the structure of characteristics ofperturbed linear waves. Assuming there is the common part of potentialperturbation propagating along the same strips, we estimate the common part ofthe perturbed wave, and its Fourier transform.  We deduce the partial inverse uniqueness from the Nevanlinna type ofrepresentation theorem.

Wave Support Theorem and Inverse Resonant Uniqueness on the Line