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math.CV2026
Hardy spaces of discrete holomorphic functions on the upper half-lattice
Eugenio Dellepiane, Alessandro Monguzzi, Matteo Monti
We develop a theory of Hardy spaces of discrete holomorphic functions on the upper half-lattice, within the classical framework of discrete holomorphicity on the square latti…
math.CV2026
The - regularity problem for the Bergman projection of two-dimensional Rudin ball quotients
Debraj Chakrabarti, Alessandro Monguzzi
We solve the -regularity problem of the Bergman projection of two-dimensional Rudin ball quotients.
math.CV2025
On discrete holomorphic Paley-Wiener spaces and sampling on the square lattice
Alessandro Monguzzi, Matteo Monti
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…