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arXiv · 2501.18390

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

Alessandro Monguzzi·Matteo Monti
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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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Alessandro Monguzzi, Matteo Monti. 2025-01-30. On discrete holomorphic Paley-Wiener spaces and sampling on the square lattice. https://arxiv.org/abs/2501.18390

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