Inverse problems for finite Jacobi matrices and Krein--Stieltjes strings
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866910935271079936 |
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| author | Mikhaylov, Alexander Mikhaylov, Victor |
| author_facet | Mikhaylov, Alexander Mikhaylov, Victor |
| contents | We consider dynamic inverse problems for a dynamical system associated with a finite Jacobi matrix and for a system describing propagation of waves in a finite Krein-Stieltjes string. We offer three methods of recovering unknown parameters: entries of a Jacobi matrix in the first problem and point masses and distances between them in the second, from dynamic Dirichlet-to-Neumann operators. We also answer a question on a characterization of dynamic inverse data for these two problems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_06143 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Inverse problems for finite Jacobi matrices and Krein--Stieltjes strings Mikhaylov, Alexander Mikhaylov, Victor Analysis of PDEs Spectral Theory We consider dynamic inverse problems for a dynamical system associated with a finite Jacobi matrix and for a system describing propagation of waves in a finite Krein-Stieltjes string. We offer three methods of recovering unknown parameters: entries of a Jacobi matrix in the first problem and point masses and distances between them in the second, from dynamic Dirichlet-to-Neumann operators. We also answer a question on a characterization of dynamic inverse data for these two problems. |
| title | Inverse problems for finite Jacobi matrices and Krein--Stieltjes strings |
| topic | Analysis of PDEs Spectral Theory |
| url | https://arxiv.org/abs/2505.06143 |