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arxiv: 1810.10070 · v2 · pith:4MZ7Y4AUnew · submitted 2018-10-23 · 🧮 math.CV

Quaternionic inner and outer functions

classification 🧮 math.CV
keywords functionsinnerouterquaternionicballconditionsgivehardy
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We study properties of inner and outer functions in the Hardy space of the quaternionic unit ball. In particular, we give sufficient conditions as well as necessary ones for functions to be inner or outer.

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