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Marcinkiewicz-Zygmund Inequalities for Polynomials in Fock Space (2109.11825v1)
Published 24 Sep 2021 in math.CV and math.FA
Abstract: We study the relation between Marcinkiewicz-Zygmund families for polynomials in a weighted $L2$-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.
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