Traces of the Nevanlinna class on discrete sequences
We show that a discrete sequence $\Lambda$ of the unit disk is the union of $n$ interpolating sequences for the Nevanlinna class $\mathcal{N}$ if and only if the trace of $\mathcal{N}$ on $\Lambda$ coincides with the space of functions on $\Lambda$ for which the divided differences of order $n-1$ ar...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2017 |
| País: | España |
| Institución: | Universidad de Barcelona |
| Repositorio: | Dipòsit Digital de la UB |
| OAI Identifier: | oai:diposit.ub.edu:2445/192390 |
| Acceso en línea: | https://hdl.handle.net/2445/192390 |
| Access Level: | acceso abierto |
| Palabra clave: | Teoria de Nevanlinna Interpolació (Matemàtica) Anàlisi harmònica Nevanlinna theory Interpolation Harmonic analysis |
| Sumario: | We show that a discrete sequence $\Lambda$ of the unit disk is the union of $n$ interpolating sequences for the Nevanlinna class $\mathcal{N}$ if and only if the trace of $\mathcal{N}$ on $\Lambda$ coincides with the space of functions on $\Lambda$ for which the divided differences of order $n-1$ are uniformly controlled by a positive harmonic function. |
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