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Inverse uniqueness results for Schrödinger operators using de Branges theory (1105.6355v2)
Published 31 May 2011 in math.SP
Abstract: We utilize the theory of de Branges spaces to show when certain Schr\"odinger operators with strongly singular potentials are uniquely determined by their associated spectral measure. The results are applied to obtain an inverse uniqueness theorem for perturbed spherical Schr\"odinger operators.