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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2505.07589 |
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| _version_ | 1866912371012796416 |
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| author | Mikhaylov, Alexander Mikhaylov, Victor |
| author_facet | Mikhaylov, Alexander Mikhaylov, Victor |
| contents | Making use of formulas of J. Moser for a finite-dimensional Toda lattices, we derive the evolution law for moments of the spectral measure of the semi-infinite Jacobi operator associated with the Toda lattice. This allows us to construct solutions of semi-infinite Toda lattices for a wide class of unbounded initial data by using well-known results from the classical moment problem theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_07589 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Construction of solutions of Toda lattices by the classical moment problem Mikhaylov, Alexander Mikhaylov, Victor Spectral Theory Mathematical Physics Making use of formulas of J. Moser for a finite-dimensional Toda lattices, we derive the evolution law for moments of the spectral measure of the semi-infinite Jacobi operator associated with the Toda lattice. This allows us to construct solutions of semi-infinite Toda lattices for a wide class of unbounded initial data by using well-known results from the classical moment problem theory. |
| title | Construction of solutions of Toda lattices by the classical moment problem |
| topic | Spectral Theory Mathematical Physics |
| url | https://arxiv.org/abs/2505.07589 |