Marcinkiewicz-Zygmund Inequalities for Polynomials in Fock Space
Complex Variables
2024-05-21 v1 Functional Analysis
Abstract
We study the relation between Marcinkiewicz-Zygmund families for polynomials in a weighted -space and sampling theorems for entire functions in the Fock space and the dual relation between uniform interpolating families for polynomials and interpolating sequences. As a consequence we obtain a description of signal subspaces spanned by Hermite functions by means of Gabor frames.
Keywords
Cite
@article{arxiv.2109.11825,
title = {Marcinkiewicz-Zygmund Inequalities for Polynomials in Fock Space},
author = {Karlheinz Gröchenig and Joaquim Ortega-Cerdà},
journal= {arXiv preprint arXiv:2109.11825},
year = {2024}
}