Title: Dynamical inverse problem for Jacobi matrices,
Abstract: We consider the inverse dynamical problem for the dynamical system with
discrete time associated with the semi-infinite Jacobi matrix. We solve the
inverse problem for such a system and answer a question on the characterization
of the inverse data. As a by-product we give a necessary and sufficient
condition for the measure on the real line line to be the spectral measure of
semi-infinite discrete Schrodinger operator.