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math.CV2022
A Hörmander-Fock space
Daniel Alpay, Fabrizio Colombo, Kamal Diki +2
In a recent paper we used a basic decomposition property of polyanalytic functions of order in one complex variable to characterize solutions of the classical $\overline{\parti…
math.CV2022
Hörmander's -method, -problem and polyanalytic function theory in one complex variable
Daniel Alpay, Fabrizio Colombo, Kamal Diki +2
In this paper we consider the classical -problem in the case of one complex variable both for analytic and polyanalytic data. We apply the decomposition property of…
math.CV2022
Discrete analytic functions, structured matrices and a new family of moment problems
Daniel Alpay, Fabrizio Colombo, Kamal Diki +2
Using Zeilberger generating function formula for the values of a discrete analytic function in a quadrant we make connections with the theory of structured reproducing kernel space…