%0 Journal Article %T Essential Spectral Singularities and the Spectral Expansion for the Hill Operator %A O. A. Veliev %J Mathematics %D 2015 %I arXiv %X 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. %U http://arxiv.org/abs/1512.04473v2