| Autor: |
Alpay, D., Colombo, F., Sabadini, I., Schneider, B. |
| Rok vydání: |
2021 |
| Předmět: |
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| Zdroj: |
Linear Algebra Appl. 633 (2022) 152-212 |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1016/j.laa.2021.10.008 |
| Popis: |
We prove various Beurling-Lax type theorems, when the classical backward-shift operator is replaced by a general resolvent operator associated with a rational function. We also study connections to the Cuntz relations. An important tool is a new representation result for analytic functions, in terms of composition and multiplication operators associated with a given rational function. Applications to the theory of de Branges-Rovnyak spaces, also in the indefinite metric setting, are given. |
| Databáze: |
arXiv |
| Externí odkaz: |
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