Spectral properties of the complex airy operator on the half-line

We prove a theorem on the completeness of the system of root functions of the Schrödinger operator L = − d 2 / dx 2 + p ( x ) on the half-line R + with a potential p for which L appears to be maximal sectorial. An application of this theorem to the complex Airy operator L c = − d 2 / dx 2 + cx , c =...

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Veröffentlicht in:	Functional analysis and its applications 2017, Vol.51 (1), p.66-79
Hauptverfasser:	Savchuk, A. M., Shkalikov, A. A.
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Completeness Eigenvectors Functional Analysis Mathematics Mathematics and Statistics Theorems
Online-Zugang:	Volltext
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