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On the relationship between Weyl functions of Jacobi matrices and response vectors for special dynamical systems with discrete time

Published 28 Dec 2018 in math-ph and math.MP | (1812.11041v1)

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.

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