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Weyl matrix functions and inverse problems for discrete Dirac type self-adjoint system: explicit and general solutions

B. Fritzsche·B. Kirstein·I. Ya. Roitberg·A. L. Sakhnovich
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Abstract

Discrete Dirac type self-adjoint system is equivalent to the block Szeg\"o recurrence. Representation of the fundamental solution is obtained, inverse problems on the interval and semi-axis are solved. A Borg-Marchenko type result is obtained too. Connections with the block Toeplitz matrices are treated.

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B. Fritzsche, B. Kirstein, I. Ya. Roitberg, A. L. Sakhnovich. 2007-03-13. Weyl matrix functions and inverse problems for discrete Dirac type self-adjoint system: explicit and general solutions. https://arxiv.org/abs/math/0703369

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