Marcinkiewicz-Zygmund inequalities for polynomials in Fock space
We study the relationship between Marcinkiewicz-Zygmund families and uniform interpolating families for polynomials in a weighted $L^2$-space and sampling and interpolation theorems for entire functions in the Fock space. As a consequence, we obtain a description of signal subspaces spanned by Hermi...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2022 |
| País: | España |
| Institución: | Universidad de Barcelona |
| Repositorio: | Dipòsit Digital de la UB |
| OAI Identifier: | oai:diposit.ub.edu:2445/189547 |
| Acceso en línea: | https://hdl.handle.net/2445/189547 |
| Access Level: | acceso abierto |
| Palabra clave: | Funcions de variables complexes Interpolació (Matemàtica) Teoria de l'aproximació Anàlisi harmònica Functions of complex variables Interpolation Approximation theory Harmonic analysis |
| Sumario: | We study the relationship between Marcinkiewicz-Zygmund families and uniform interpolating families for polynomials in a weighted $L^2$-space and sampling and interpolation theorems for entire functions in the Fock space. As a consequence, we obtain a description of signal subspaces spanned by Hermite functions by means of Gabor frames. |
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