On inverse spectral problem for non-selfadjoint Sturm–Liouville operator on a finite interval

AbstractAn inverse spectral problem is studied for a non-selfadjoint Sturm–Liouville operator on a finite interval with an arbitrary behavior of the spectrum. The spectral data introduced generalize the classical discrete spectral data corresponding to the specification of the spectral function in the selfadjoint case. The connection with other types of spectral characteristics is investigated and a uniqueness theorem is proved. A constructive procedure for solving the inverse problem is given