03-249 B. M. Brown and R. Weikard

The inverse resonance problem for perturbations of algebro-geometric potentials (299K, PDF) Jun 2, 03

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

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