Quaternionic inner and outer functions
Alessandro Monguzzi, Giulia Sarfatti, Daniel Seco
TL;DR
This paper explores the properties of inner and outer functions within the Hardy space of the quaternionic unit ball, providing conditions for their classification.
Contribution
It offers new necessary and sufficient conditions for identifying inner and outer functions in quaternionic Hardy spaces.
Findings
Established criteria for quaternionic inner functions
Derived conditions for outer functions in quaternionic Hardy spaces
Enhanced understanding of quaternionic function theory
Abstract
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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