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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2507.02163 |
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| _version_ | 1866909674351099904 |
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| author | White, Edward L. |
| author_facet | White, Edward L. |
| contents | In this paper, we outline a method to determine all recursive relations for a subnormal 2-variable weighted shift, up to total degree $k$, entirely from the representing measure. This allows us to show that the densities of the atoms do not affect the recursive relations. We then show that this method can be used to explicitly construct a Gröbner basis for the ideal of recursive relations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_02163 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Recursive relations for 2-variable weighted shifts White, Edward L. Functional Analysis 47-08 In this paper, we outline a method to determine all recursive relations for a subnormal 2-variable weighted shift, up to total degree $k$, entirely from the representing measure. This allows us to show that the densities of the atoms do not affect the recursive relations. We then show that this method can be used to explicitly construct a Gröbner basis for the ideal of recursive relations. |
| title | Recursive relations for 2-variable weighted shifts |
| topic | Functional Analysis 47-08 |
| url | https://arxiv.org/abs/2507.02163 |