Interpretation of the Schur-Cohn test in terms of canonical systems
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.
- Publication:
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arXiv e-prints
- Pub Date:
- June 2021
- DOI:
- 10.48550/arXiv.2106.04061
- arXiv:
- arXiv:2106.04061
- Bibcode:
- 2021arXiv210604061S
- Keywords:
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- Mathematics - Functional Analysis;
- Mathematics - Classical Analysis and ODEs;
- Mathematics - Number Theory;
- 30C15;
- 34A55
- E-Print:
- 30 pages