Inverse spectral problems for Sturm-Liouville operators with singular potentials, II. Reconstruction by two spectra

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We solve the inverse spectral problem of recovering the singular potentials $q\in W^{-1}_{2}(0,1)$ of Sturm-Liouville operators by two spectra. The reconstruction algorithm is presented and necessary and sufficient conditions on two sequences to be spectral data for Sturm-Liouville operators under consideration are given.
14 pgs, AmS-LaTex2e

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Spectral Theory, Primary 34A55, Secondary 34B24, 34L05, 34L20

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http://salesiana.dossiersoluciones.com/handle/123456789/66283

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0301193
 http://arxiv.org/abs/math/0301193

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arXiv