Singularly perturbed periodic and semiperiodic differential operators

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dc.creatorMikhailets, V. A.
dc.creatorMolyboga, V. M.
dc.date2007-05-21
dc.date.accessioned2026-07-07T12:59:54Z
dc.date.available2026-07-07T12:59:54Z
dc.descriptionQualitative and spectral properties of the form-sums S_{\pm}(V):=D_{\pm}^{2m}\dotplus V(x),\quad m\in \mathbb{N}, in the Hilbert space $L_{2}(0,1)$ are studied. Here the periodic $(D_{+})$ and the semiperiodic $(D_{-})$ differential operators are $D_{\pm}: u\mapsto -i u'$, and $V(x)$ is a 1-periodic complex-valued distribution in the Sobolev spaces $H_{per}^{-mα}$, $α\in [0,1]$.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/0705.3045
dc.identifierhttp://arxiv.org/abs/0705.3045
dc.identifierUkrainian Math. J. 59 (2007), no. 6, 785-797
dc.identifierdoi:10.1007/s11253-007-0055-7
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225714
dc.subjectFunctional Analysis
dc.subjectSpectral Theory
dc.subject47B44; 47A55; 47A75
dc.titleSingularly perturbed periodic and semiperiodic differential operators
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