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arXiv · 2106.04061

Interpretation of the Schur-Cohn test in terms of canonical systems

Masatoshi Suzuki
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Abstract

We solve direct and inverse problems for two-dimensional (quasi) canonical systems related to exponential polynomials of a specific but sufficiently general type. The approach to the inverse problem in this paper provides an interpretation of the matrices and their determinants in the classical Schur-Cohn test for polynomials in terms of Hamiltonians of canonical system.

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Masatoshi Suzuki. 2021-06-08. Interpretation of the Schur-Cohn test in terms of canonical systems. https://doi.org/10.1307/mmj/20216149

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