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November  2017, 16(6): 2227-2251. doi: 10.3934/cpaa.2017110

## Essential spectral singularities and the spectral expansion for the Hill operator

Received  February 2017 Revised  May 2017 Published  July 2017

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.

Citation: O. A. Veliev. Essential spectral singularities and the spectral expansion for the Hill operator. Communications on Pure & Applied Analysis, 2017, 16 (6) : 2227-2251. doi: 10.3934/cpaa.2017110
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##### References:
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