AN INVERSE SPECTRAL PROBLEM WITH POLES AND TURNING POINTS

In this paper, singular operators having the singularity type A(x¡x1)¡2 +B(x¡x1)¡1 are investigated. It is given that the particular set of eigenvalues is sufficient to determine the unknown potential. We study the asymptotic solutions and distribution of the eigenvalues, finally we prove a uniqueness theorem in the inverse problem.