2000 character limit reached
On discrete holomorphic Paley-Wiener spaces and sampling on the square lattice (2501.18390v1)
Published 30 Jan 2025 in math.CV and math.CA
Abstract: We consider a reproducing kernel Hilbert space of discrete entire functions on the square lattice $\mathbb Z2$ 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.