Essential spectral singularities and the spectral expansion for the hill operator
AuthorVeliev, Oktay A.
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CitationVeliev, O. A. (2017). Essential spectral singularities and the spectral expansion for the hill operator. Communications on Pure and Applied Analysis, 16(6), 2227-2251. http://dx.doi.org/10.3934/cpaa.2017110
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.