Essential Spectral Singularities and the Spectral Expansion for the Hill Operator
classification
🧮 math.SP
keywords
spectralsingularitiesessentialexpansionoperatorcomplex-valuedconceptsconsider
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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.
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