Two-dimensional moment problem and Schur algorithm
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866914740948697088 |
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| author | Kovalyov, Ivan Kunis, Stefan |
| author_facet | Kovalyov, Ivan Kunis, Stefan |
| contents | We study a truncated two-dimensional moment problem in terms of the Stieltjes transform. The set of the solutions is described by the Schur step-by-step algorithm, which is based on the continued fraction expansion of the solution. In particular, the obtained results are applicable to the two-dimensional moment problem for atomic measures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_03342 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Two-dimensional moment problem and Schur algorithm Kovalyov, Ivan Kunis, Stefan Functional Analysis Numerical Analysis We study a truncated two-dimensional moment problem in terms of the Stieltjes transform. The set of the solutions is described by the Schur step-by-step algorithm, which is based on the continued fraction expansion of the solution. In particular, the obtained results are applicable to the two-dimensional moment problem for atomic measures. |
| title | Two-dimensional moment problem and Schur algorithm |
| topic | Functional Analysis Numerical Analysis |
| url | https://arxiv.org/abs/2404.03342 |