Geometric conditions for multiple sampling and interpolation in the Fock space
We study multiple sampling, interpolation and uniqueness for the classical Fock spaces in the case of unbounded multiplicities. We show that there are no sequences which are simultaneously sampling and interpolating when the multiplicities tend to infinity. This answers partially a question posed by...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2017 |
| País: | España |
| Institución: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repositorio: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:2445/192550 |
| Acceso en línea: | https://hdl.handle.net/2445/192550 |
| Access Level: | acceso abierto |
| Palabra clave: | Funcions de variables complexes Problemes de moments (Matemàtica) Interpolació (Matemàtica) Espais de Hilbert Operadors lineals Functions of complex variables Moment problems (Mathematics) Interpolation Hilbert space Linear operators |
| Sumario: | We study multiple sampling, interpolation and uniqueness for the classical Fock spaces in the case of unbounded multiplicities. We show that there are no sequences which are simultaneously sampling and interpolating when the multiplicities tend to infinity. This answers partially a question posed by Brekke and Seip. |
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