Rational inner functions on the polydisk -- a survey
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913697771814912 |
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| author | Knese, Greg |
| author_facet | Knese, Greg |
| contents | Rational inner functions are a generalization of finite Blaschke products to several variables. In this article we survey a variety of results about rational inner functions related to interpolation, sums of squares formulas, and boundary behavior. We mostly focus on two variables however in the final section we discuss higher dimensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_14604 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Rational inner functions on the polydisk -- a survey Knese, Greg Functional Analysis Complex Variables Rational inner functions are a generalization of finite Blaschke products to several variables. In this article we survey a variety of results about rational inner functions related to interpolation, sums of squares formulas, and boundary behavior. We mostly focus on two variables however in the final section we discuss higher dimensions. |
| title | Rational inner functions on the polydisk -- a survey |
| topic | Functional Analysis Complex Variables |
| url | https://arxiv.org/abs/2409.14604 |