3 papers
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.CA2026
Quadratic discrepancy estimates for probability measures on the Heisenberg group
Luca Brandolini, Alessandro Monguzzi, Matteo Monti
We initiate the study of quadratic discrepancy for finite point sets on the Heisenberg group with respect to upper Ahlfors regular probability measures. For a natural…
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…