We consider a reproducing kernel Hilbert space of discrete entire functions on the square lattice 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.
Monguzzi, A., Monti, M. (2026). On discrete holomorphic Paley-Wiener spaces and sampling on the square lattice. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY [10.1090/tran/9644].
On discrete holomorphic Paley-Wiener spaces and sampling on the square lattice
Monti, M
2026
Abstract
We consider a reproducing kernel Hilbert space of discrete entire functions on the square lattice 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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