The inverse resonance problem for perturbations of algebro-geometric potentials
classification
🧮 math-ph
math.MPmath.SP
keywords
algebro-geometriccompactlydetermineddirichleteigenvaluesequationhalfinverse
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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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