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arXiv · 2109.11825

Marcinkiewicz-Zygmund Inequalities for Polynomials in Fock Space

Karlheinz Gröchenig·Joaquim Ortega-Cerdà
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Abstract

We study the relation between Marcinkiewicz-Zygmund families for polynomials in a weighted $L^2$-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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Karlheinz Gröchenig, Joaquim Ortega-Cerdà. 2021-09-24. Marcinkiewicz-Zygmund Inequalities for Polynomials in Fock Space. https://doi.org/10.1007/s00209-022-03087-4

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