Interpretation of the Schur-Cohn test in terms of canonical systems
arXiv:2106.04061 · doi:10.1307/mmj/20216149
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.
31 pages