Gröchenig, KarlheinzOrtega Cerdà, Joaquim2022-10-032022-10-032022-08-220025-5874https://hdl.handle.net/2445/189547We 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.application/pdfengcc by (c) Karlheinz Gröchenig et al., 2022http://creativecommons.org/licenses/by/3.0/es/Funcions de variables complexesInterpolació (Matemàtica)Teoria de l'aproximacióAnàlisi harmònicaFunctions of complex variablesInterpolationApproximation theoryHarmonic analysisinfo:eu-repo/semantics/publishedVersion7254402022-10-03info:eu-repo/semantics/openAccess