Inverse spectral problems for Sturm-Liouville operators with singular potentials

Simple item page
dc.creatorHryniv, R. O.
dc.creatorMykytyuk, Ya. V.
dc.date2002-11-17
dc.date.accessioned2026-07-07T04:52:59Z
dc.date.available2026-07-07T04:52:59Z
dc.descriptionThe inverse spectral problem is solved for the class of Sturm-Liouville operators with singular real-valued potentials from the space $W^{-1}_2(0,1)$. The potential is recovered via the eigenvalues and the corresponding norming constants. The reconstruction algorithm is presented and its stability proved. Also, the set of all possible spectral data is explicitly described and the isospectral sets are characterized.
dc.descriptionSubmitted to Inverse Problems
dc.identifierhttps://arxiv.org/abs/math/0211247
dc.identifierhttp://arxiv.org/abs/math/0211247
dc.identifierInverse Problems 19 (2003), no. 3, 665-684
dc.identifierdoi:10.1088/0266-5611/19/3/312
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65677
dc.subjectSpectral Theory
dc.subjectPrimary 34A55, Secondary 34B24, 34L05, 34L20
dc.titleInverse spectral problems for Sturm-Liouville operators with singular potentials
dc.typetext

Files

Collections

arXiv