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Stability of an Inverse Problem in Potential Scattering on The Real Line

Stability of an Inverse Problem in Potential Scattering on The Real Line

In the later part of the paper we shall assume in addition that p decays exponentially at −∞. The support properties of the potential imply that the right reflection coefficient r(k) admits a meromorphic continuation to the upper half-plane C+ = {k ∈ C, Im k > 0} with at …