Uniqueness theorems for meromorphic inner functions and canonical systems
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arXiv
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| Format: | Preprint |
| Published: |
2021
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| _version_ | 1866912236191088640 |
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| author | Hatinoğlu, Burak |
| author_facet | Hatinoğlu, Burak |
| contents | We prove uniqueness problems for meromorphic inner functions on the upper half-plane. In these problems we consider spectral data depending partially or fully on the spectrum, derivative values at the spectrum, Clark measure or the spectrum of the negative of a meromorphic inner function. Moreover we consider applications of these uniqueness results to inverse spectral theory of canonical Hamiltonian systems and obtain generalizations of Borg-Levinson two-spectra theorem for canonical Hamiltonian systems and unique determination of a Hamiltonian from its spectral measure under some conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2110_12384 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Uniqueness theorems for meromorphic inner functions and canonical systems Hatinoğlu, Burak Complex Variables 30, 34 We prove uniqueness problems for meromorphic inner functions on the upper half-plane. In these problems we consider spectral data depending partially or fully on the spectrum, derivative values at the spectrum, Clark measure or the spectrum of the negative of a meromorphic inner function. Moreover we consider applications of these uniqueness results to inverse spectral theory of canonical Hamiltonian systems and obtain generalizations of Borg-Levinson two-spectra theorem for canonical Hamiltonian systems and unique determination of a Hamiltonian from its spectral measure under some conditions. |
| title | Uniqueness theorems for meromorphic inner functions and canonical systems |
| topic | Complex Variables 30, 34 |
| url | https://arxiv.org/abs/2110.12384 |