Expansions with respect to squares, symplectic and poisson structures associated with the Sturm-Liouville problem. II

The properties of variations of the scattering data for a smooth rapidly decreasing potential of the Sturm-Liouville problem are considered in the generic situation. The orthogonality and completeness relations for bilinear combinations of the Jost solutions of this problem are formulated more precisely, and the properties of the recursion operator and its resolvent are studied thoroughly.