%0 Journal Article %T Inverse spectral problems for Sturm-Liouville operators with singular potentials, II. Reconstruction by two spectra %A R. O. Hryniv %A Ya. V. Mykytyuk %J Mathematics %D 2003 %I arXiv %X 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. %U http://arxiv.org/abs/math/0301193v1