We consider a reproducing kernel Hilbert space of discrete entire functions on the square lattice Z2 inspired by the classical Paley–Wiener space of entire functions of exponential growth in the complex plane. For such space we provide a Paley–Wiener type characterization and a sampling result.

(2026). On discrete holomorphic Paley–Wiener spaces and sampling on the square lattice [journal article - articolo]. In TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. Retrieved from https://hdl.handle.net/10446/323506

On discrete holomorphic Paley–Wiener spaces and sampling on the square lattice

Monguzzi, Alessandro;
2026-03-02

Abstract

We consider a reproducing kernel Hilbert space of discrete entire functions on the square lattice Z2 inspired by the classical Paley–Wiener space of entire functions of exponential growth in the complex plane. For such space we provide a Paley–Wiener type characterization and a sampling result.
articolo
2-mar-2026
Monguzzi, Alessandro; Monti, Matteo
(2026). On discrete holomorphic Paley–Wiener spaces and sampling on the square lattice [journal article - articolo]. In TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. Retrieved from https://hdl.handle.net/10446/323506
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10446/323506
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