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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.FA2026
Rhaly operators on weighted Hardy spaces and factorable matrices
Carlo Bellavita, Eugenio Dellepiane, Georgios Stylogiannis
In this paper, we study properties of Rhaly operators acting on weighted Hardy spaces . This problem is intimately related to the study of factorable matrices on .…
math.CV2026
Orthogonal polynomials in de Branges--Rovnyak spaces
Eugenio Dellepiane, Daniel Seco
Given a function , holomorphic on the disc and bounded by 1, one can construct an associated reproducing kernel Hilbert space called the de Branges--Rovnyak space . We exp…