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.

Quaternionic inner and outer functions / Alessandro Monguzzi; Giulia Sarfatti; Daniel Seco. - In: CONCRETE OPERATORS. - ISSN 2299-3282. - STAMPA. - 6:(2019), pp. 44-57. (Intervento presentato al convegno 15th Advanced Courses in Operator Theory and Complex Analysis) [10.1515/conop-2019-0004].

Quaternionic inner and outer functions

Giulia Sarfatti;
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.
2019
Special issue: 15th Advanced Courses in Operator Theory and Complex Analysis
15th Advanced Courses in Operator Theory and Complex Analysis
Alessandro Monguzzi; Giulia Sarfatti; Daniel Seco
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/1153760
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