On the relationship between Weyl functions of Jacobi matrices and response vectors for special dynamical systems with discrete time
arXiv:1812.11041 · doi:10.1002/mma.5147
Abstract
We derive special representation for Weyl functions for finite and semi-infinite Jacobi matrices with bounded entries based on a relationship between spectral problem for Jacobi matrices and initial-boundary value problem for auxiliary dynamical systems with the discrete time for Jacobi matrices.