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arXiv · 1105.6355

Inverse uniqueness results for Schrödinger operators using de Branges theory

Jonathan Eckhardt
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Abstract

We utilize the theory of de Branges spaces to show when certain Schrödinger 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 Schrödinger operators.

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Jonathan Eckhardt. 2014-01-12. Inverse uniqueness results for Schrödinger operators using de Branges theory. https://doi.org/10.1007/s11785-012-0265-3

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