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Density of Complex and Quaternionic Polyanalytic Polynomials in Polyanalytic Fock Spaces

Density of Complex and Quaternionic Polyanalytic Polynomials in Polyanalytic Fock Spaces

Abstract In this paper we consider the polyanalytic Fock spaces both in the complex and in the quaternionic case. In this latter case, the polyanalytic functions are considered in the slice regular case, and we shall treat Fock spaces of the first and of the second kind. In all these …