Inverse spectral problems for Sturm-Liouville operators with singular potentials, IV. Potentials in the Sobolev space scale

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dc.creatorHryniv, R. O.
dc.creatorMykytyuk, Ya. V.
dc.date2004-06-11
dc.date.accessioned2026-07-07T06:33:08Z
dc.date.available2026-07-07T06:33:08Z
dc.descriptionWe solve the inverse spectral problems for the class of Sturm--Liouville operators with singular real-valued potentials from the Sobolev space W^{s-1}_2(0,1), s\in[0,1]. The potential is recovered from two spectra or from the spectrum and norming constants. Necessary and sufficient conditions on the spectral data to correspond to the potential in W^{s-1}_2(0,1) are established.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math/0406238
dc.identifierhttp://arxiv.org/abs/math/0406238
dc.identifierProceedings of the Edinburgh Mathematical Society 49 (2006), 309--329
dc.identifierdoi:10.1017/S0013091504000859
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99097
dc.subjectFunctional Analysis
dc.subjectClassical Analysis and ODEs
dc.subjectPrimary 34A55, Secondary 34B24, 34L05, 34L20
dc.titleInverse spectral problems for Sturm-Liouville operators with singular potentials, IV. Potentials in the Sobolev space scale
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