$q$-Rational functions and interpolation with complete Nevanlinna Pick Kernels
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910304707805184 |
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| author | Alpay, Daniel Cerejeiras, Paula Kaehler, Uwe Schneider, Baruch |
| author_facet | Alpay, Daniel Cerejeiras, Paula Kaehler, Uwe Schneider, Baruch |
| contents | In this paper we introduce the concept of matrix-valued $q$-rational functions. In comparison to the classic case we give different characterizations with principal emphasise on realizations and discuss algebraic manipulations. We also study the concept of Schur multipliers and complete Nevanlinna Pick kernels in this context and provide first applications in terms of an interpolation problem using Schur multipliers and complete Nevanlinna Pick kernels. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_11887 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $q$-Rational functions and interpolation with complete Nevanlinna Pick Kernels Alpay, Daniel Cerejeiras, Paula Kaehler, Uwe Schneider, Baruch Complex Variables 47A56, 05A30, 30C10, 32A70 In this paper we introduce the concept of matrix-valued $q$-rational functions. In comparison to the classic case we give different characterizations with principal emphasise on realizations and discuss algebraic manipulations. We also study the concept of Schur multipliers and complete Nevanlinna Pick kernels in this context and provide first applications in terms of an interpolation problem using Schur multipliers and complete Nevanlinna Pick kernels. |
| title | $q$-Rational functions and interpolation with complete Nevanlinna Pick Kernels |
| topic | Complex Variables 47A56, 05A30, 30C10, 32A70 |
| url | https://arxiv.org/abs/2401.11887 |