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.
Monguzzi, A., Sarfatti, G., Seco, D. (2019). Quaternionic inner and outer functions. CONCRETE OPERATORS, 6(1), 44-57 [10.1515/conop-2019-0004].
Quaternionic inner and outer functions
Monguzzi, ACo-primo
;
2019
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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