Schrödinger operators with strongly singular potentials and de Branges spaces

Details Schrödinger operators with strongly singular potentials and de Branges spaces Schrödinger operators with strongly singular potentials and de Branges spaces

2011-05-31

arxiv.org/abs/1105.6355v1

Mathematics

Spectral Theory

10 pages

Scientific paper

We utilize the theory of de Branges spaces to show that certain Schr\"odinger
operators with strongly singular potentials are uniquely determined by their
associated spectral measure. The results are applied in order to obtain a
uniqueness theorem for perturbed Bessel operators.

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