English

Essential Spectral Singularities and the Spectral Expansion for the Hill Operator

Spectral Theory 2015-12-17 v2

Abstract

In this paper we investigate the spectral expansion for the one-dimensional Schrodinger operator with a periodic complex-valued potential. For this we consider in detail the spectral singularities and introduce new concepts as essential spectral singularities and singular quasimomenta.

Keywords

Cite

@article{arxiv.1512.04473,
  title  = {Essential Spectral Singularities and the Spectral Expansion for the Hill Operator},
  author = {O. A. Veliev},
  journal= {arXiv preprint arXiv:1512.04473},
  year   = {2015}
}