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https://hdl.handle.net/2445/189547| Title: | Marcinkiewicz-Zygmund inequalities for polynomials in Fock space |
| Author: | Gröchenig, Karlheinz Ortega Cerdà, Joaquim |
| Keywords: | Funcions de variables complexes Interpolació (Matemàtica) Teoria de l'aproximació Anàlisi harmònica Functions of complex variables Interpolation Approximation theory Harmonic analysis |
| Issue Date: | 22-Aug-2022 |
| Publisher: | Springer Verlag |
| Abstract: | 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. |
| Note: | Reproducció del document publicat a: https://doi.org/10.1007/s00209-022-03087-4 |
| It is part of: | Mathematische Zeitschrift, 2022 |
| URI: | https://hdl.handle.net/2445/189547 |
| Related resource: | https://doi.org/10.1007/s00209-022-03087-4 |
| ISSN: | 0025-5874 |
| Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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