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 / A. Monguzzi, G. Sarfatti, D. Seco. - In: CONCRETE OPERATORS. - ISSN 2299-3282. - 6:1(2019 Feb), pp. 44-57. [10.1515/conop-2019-0004]

Quaternionic inner and outer functions

A. Monguzzi
Primo
;
2019-02

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.
Primary 30G35; Secondary 30H10; 30J05
Settore MAT/05 - Analisi Matematica
Real and Complex Manifolds: Geometry, Topology and Harmonic Analysis
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2434/640939
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