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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
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…