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arXiv · 1812.11041

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

A. S. Mikhaylov·V. S. Mikhaylov·S. A. Simonov
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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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A. S. Mikhaylov, V. S. Mikhaylov, S. A. Simonov. 2018-12-28. On the relationship between Weyl functions of Jacobi matrices and response vectors for special dynamical systems with discrete time. https://doi.org/10.1002/mma.5147

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