On half-line spectra for a class of non-self-adjoint Hill operators

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dc.creatorShin, Kwang C.
dc.date2003-08-27
dc.date.accessioned2026-07-07T04:30:29Z
dc.date.available2026-07-07T04:30:29Z
dc.descriptionIn 1980, Gasymov showed that non-self-adjoint Hill operators with complex-valued periodic potentials of the type $V(x)=\sum_{k=1}^{\infty} a_k e^{ikx}$, with $\sum_{k=1}^{\infty}|a_k|<\infty$, have spectra $[0, \infty)$. In this note, we provide an alternative and elementary proof of this result.
dc.description6 pages; no figure; to appear in Math. Nachr
dc.identifierhttps://arxiv.org/abs/math-ph/0308032
dc.identifierhttp://arxiv.org/abs/math-ph/0308032
dc.identifierMath. Nachr. 261-262: 171-175 (2003)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57483
dc.subjectMathematical Physics
dc.titleOn half-line spectra for a class of non-self-adjoint Hill operators
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