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2022-08-22

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cc by (c) Karlheinz Gröchenig et al., 2022
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/189547

Marcinkiewicz-Zygmund inequalities for polynomials in Fock space

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https://doi.org/10.1007/s00209-022-03087-4

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.

Subject

Funcions de variables complexes, Interpolació (Matemàtica), Teoria de l'aproximació, Anàlisi harmònica

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Functions of complex variables, Interpolation, Approximation theory, Harmonic analysis

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GRÖCHENIG, Karlheinz and ORTEGA CERDÀ, Joaquim. Marcinkiewicz-Zygmund inequalities for polynomials in Fock space. Mathematische Zeitschrift. 2022. ISSN 0025-5874. [consulted: 18 of June of 2026]. Available at: https://hdl.handle.net/2445/189547

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