One-component inner functions
| Autor: | Cima, Joseph, Mortini, Raymond |
|---|---|
| Rok vydání: | 2017 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We explicitely unveil several classes of inner functions $u$ in $H^\infty$ with the property that there is $\eta\in ]0,1[$ such that the level set $\Omega_u(\eta):=\{z\in\mathbb D: |u(z)|<\eta\}$ is connected. These so-called one-component inner functions play an important role in operator theory. Comment: 16 pages, 2 figures |
| Databáze: | arXiv |
| Externí odkaz: |
|