Generalised canonical systems related to matrix string equations: corresponding structured operators and high-energy asymptotics of the Weyl functions
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| _version_ | 1866913068105072640 |
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| author | Sakhnovich, Alexander |
| author_facet | Sakhnovich, Alexander |
| contents | We obtain high energy asymptotics of Titchmarsh-Weyl functions of the generalised canonical systems generalising in this way a seminal Gesztesy-Simon result. The matrix valued analog of the amplitude function satisfies in this case an interesting new identity. The corresponding structured operators are studied as well. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2103_03203 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Generalised canonical systems related to matrix string equations: corresponding structured operators and high-energy asymptotics of the Weyl functions Sakhnovich, Alexander Spectral Theory Mathematical Physics Classical Analysis and ODEs 34B20, 37J05, 47A48, 47A62 We obtain high energy asymptotics of Titchmarsh-Weyl functions of the generalised canonical systems generalising in this way a seminal Gesztesy-Simon result. The matrix valued analog of the amplitude function satisfies in this case an interesting new identity. The corresponding structured operators are studied as well. |
| title | Generalised canonical systems related to matrix string equations: corresponding structured operators and high-energy asymptotics of the Weyl functions |
| topic | Spectral Theory Mathematical Physics Classical Analysis and ODEs 34B20, 37J05, 47A48, 47A62 |
| url | https://arxiv.org/abs/2103.03203 |