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The inverse resonance problem for perturbations of algebro-geometric potentials

B. M. Brown, R. Weikard

math-pharXiv:math-ph/0306003

Abstract

We prove that a compactly supported perturbation of a rational or simply periodic algebro-geometric potential of the one-dimensional Schrödinger equation on the half line is uniquely determined by the location of its Dirichlet eigenvalues and resonances.

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