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

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

2003-01-18

arxiv.org/abs/math/0301193v1

Mathematics

Spectral Theory

14 pgs, AmS-LaTex2e

Scientific paper

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.

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