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

R. O. Hryniv; Ya. V. Mykytyuk

paper

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

arXiv:math/0301193

Abstract

We solve the inverse spectral problem of recovering the singular potentials $q \in W_{2}^{- 1} (0, 1)$ 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