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

Published 30 Jan 2025 in math.CV and math.CA | (2501.18390v1)

Abstract: We consider a reproducing kernel Hilbert space of discrete entire functions on the square lattice $\mathbb Z^2$ 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.

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