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