English

Inverse spectral theory for a class of non-compact Hankel operators

Spectral Theory 2019-02-20 v1 Complex Variables

Abstract

We characterize all bounded Hankel operators Γ\Gamma such that ΓΓ\Gamma^*\Gamma has finite spectrum. We identify spectral data corresponding to such operators and construct inverse spectral theory including the characterization of these spectral data.

Keywords

Cite

@article{arxiv.1803.06169,
  title  = {Inverse spectral theory for a class of non-compact Hankel operators},
  author = {Patrick Gerard and Alexander Pushnitski},
  journal= {arXiv preprint arXiv:1803.06169},
  year   = {2019}
}