13 citations · 43 across the 19 of their papers we have counts for
26 papers
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…
Discrepancy estimates for multi-dimensional non-smooth convex bodies: a case study
Roberto Bramati, Luca Brandolini, Alessandro Monguzzi
We study -averaged discrepancies of finite sequences of points in the torus with respect to translated and dilated copies of convex bodies with non-smooth bound…
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.
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…
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…
Single radius spherical cap discrepancy on compact two-point homogeneous spaces
Luca Brandolini, Bianca Gariboldi, Giacomo Gigante +1
In this note we study estimates from below of the single radius spherical discrepancy in the setting of compact two-point homogeneous spaces. Namely, given a -dimensional manifo…