On interpolation and sampling in Hilbert spaces of analytic functions
In this paper we give new proofs of some theorems due to Seip, Seip-Wallsten and Lyubarskii-Seip on sequences of interpolation and sampling for spaces of analytic functions that are square integrable with respect to certain weights. The results are also given in a somewhat more general setting.
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 1995 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/782 |
| Acceso en línea: | https://hdl.handle.net/2117/782 |
| Access Level: | acceso abierto |
| Palabra clave: | Function spaces Functions of complex variables Hilbert Spaces Analytic Functions Anàlisi funcional Funcions de variables complexes Classificació AMS::30 Functions of a complex variable::30E Miscellaneous topics of analysis in the complex domain Classificació AMS::46 Associative rings and algebras::46E Linear function spaces and their duals |
| Sumario: | In this paper we give new proofs of some theorems due to Seip, Seip-Wallsten and Lyubarskii-Seip on sequences of interpolation and sampling for spaces of analytic functions that are square integrable with respect to certain weights. The results are also given in a somewhat more general setting. |
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