In this paper, we prove some splitting results for holomorphic functions of a complex variable and for slice regular functions of a quaternionic variable, in both cases on open domains having some specific properties of symmetry. We use these results to show an application to the slice regular Bergman space.
On some splitting properties of slice regular functions
Sabadini, Irene
2017-01-01
Abstract
In this paper, we prove some splitting results for holomorphic functions of a complex variable and for slice regular functions of a quaternionic variable, in both cases on open domains having some specific properties of symmetry. We use these results to show an application to the slice regular Bergman space.File in questo prodotto:
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