Interpretation of the Schur-Cohn test in terms of canonical systems
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arXiv
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| Format: | Preprint |
| Published: |
2021
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| _version_ | 1866915561604120576 |
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| author | Suzuki, Masatoshi |
| author_facet | Suzuki, Masatoshi |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2106_04061 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Interpretation of the Schur-Cohn test in terms of canonical systems Suzuki, Masatoshi Functional Analysis Classical Analysis and ODEs Number Theory 30C15, 34A55 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. |
| title | Interpretation of the Schur-Cohn test in terms of canonical systems |
| topic | Functional Analysis Classical Analysis and ODEs Number Theory 30C15, 34A55 |
| url | https://arxiv.org/abs/2106.04061 |