English

Inverse uniqueness results for Schr\"odinger operators using de Branges theory

Spectral Theory 2014-01-14 v2

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.

Keywords

Cite

@article{arxiv.1105.6355,
  title  = {Inverse uniqueness results for Schr\"odinger operators using de Branges theory},
  author = {Jonathan Eckhardt},
  journal= {arXiv preprint arXiv:1105.6355},
  year   = {2014}
}

Comments

11 pages

R2 v1 2026-06-21T18:15:33.125Z