1 Functional Models for Periodic SMP and Isospectral Almost Periodic Jacobi Matrices 1.1 Finte-gap Jacobi Matrices: Functional Model

This is the second part of the paper [2] on the theory of SMP (Strong Moment Problem) matrices and their relation to the Killip-Simon problem on two disjoint intervals. In this part we define and study the Jacobi flow on SMP matrices. This is the second part of the paper [2] on the theory of SMP (Strong Mo-ment Problem) matrices and their relation to the Killip-Simon problem on two disjoint intervals. In this part we define and study the Jacobi flow on SMP matrices. Besides the list of references given in [2], we would like to mention that an extensive bibliography of works concerned with the strong moment problem can be found in the survey [3]; concerning its matrix gen-eralization see [6, 7]. The authors are thankful to Robert Ensgraber for technical support