Abstract:
For the class of super-exponentially decaying potentials on the real line sharp upper bounds on the counting function of the poles in discs are derived and the density of the poles in strips is estimated. In the case of nonnegative potentials, explicit estimates for the width of a pole-free strip are obtained.
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Received: 27 January 1999 / Accepted: 7 July 1999
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Hitrik, M. Bounds on Scattering Poles in One Dimension. Comm Math Phys 208, 381–411 (1999). https://doi.org/10.1007/s002200050763
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DOI: https://doi.org/10.1007/s002200050763