Inverse problems for ZS-operators and their isomorphisms
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866911310953840640 |
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| author | Korotyaev, Evgeny Zhang, Zongfeng |
| author_facet | Korotyaev, Evgeny Zhang, Zongfeng |
| contents | Consider two inverse problems for ZS-operators problems on the
unit interval. It means that there are two corresponding mappings $F, f$ from a Hilbert space of potentials $H$ into their spectral data. They are called isomorphic if $F$ is a composition of $f$ and some isomorphism $U$ of $H$ onto itself. We consider isomorphic inverse problems for ZS-operators on the unit interval under basic boundary conditions and on the circle. The proof is based on the non-linear analysis and properties of the 4-spectra mapping constructed in our paper. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_09413 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Inverse problems for ZS-operators and their isomorphisms Korotyaev, Evgeny Zhang, Zongfeng Spectral Theory Consider two inverse problems for ZS-operators problems on the unit interval. It means that there are two corresponding mappings $F, f$ from a Hilbert space of potentials $H$ into their spectral data. They are called isomorphic if $F$ is a composition of $f$ and some isomorphism $U$ of $H$ onto itself. We consider isomorphic inverse problems for ZS-operators on the unit interval under basic boundary conditions and on the circle. The proof is based on the non-linear analysis and properties of the 4-spectra mapping constructed in our paper. |
| title | Inverse problems for ZS-operators and their isomorphisms |
| topic | Spectral Theory |
| url | https://arxiv.org/abs/2512.09413 |