Symmetric Schur-class functions on the bidisk and Schur-class functions on the symmetrized bidisk
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866908778815815680 |
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| author | Baran, Radomił Woerdeman, Hugo J. |
| author_facet | Baran, Radomił Woerdeman, Hugo J. |
| contents | We present some thoughts on the relation between symmetric Schur-class functions on the bidisk and Schur-class functions on the symmetrized bidisk. Among other things, use of this relation leads to a finite dimensional realization result for rational matrix functions in the Schur-class on the symmetrized bidisk and also to a determinantal representation result for polynomials without zeros on the symmetrized bidisk. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_14397 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Symmetric Schur-class functions on the bidisk and Schur-class functions on the symmetrized bidisk Baran, Radomił Woerdeman, Hugo J. Functional Analysis Complex Variables We present some thoughts on the relation between symmetric Schur-class functions on the bidisk and Schur-class functions on the symmetrized bidisk. Among other things, use of this relation leads to a finite dimensional realization result for rational matrix functions in the Schur-class on the symmetrized bidisk and also to a determinantal representation result for polynomials without zeros on the symmetrized bidisk. |
| title | Symmetric Schur-class functions on the bidisk and Schur-class functions on the symmetrized bidisk |
| topic | Functional Analysis Complex Variables |
| url | https://arxiv.org/abs/2601.14397 |