Quaternionic inner and outer functions

DOI10.1515/CONOP-2019-0004zbMATH Open1472.30023arXiv1810.10070OpenAlexW2964251725WikidataQ128025760 ScholiaQ128025760MaRDI QIDQ2000994

Daniel Seco, Giulia Sarfatti, Alessandro Monguzzi

Publication date: 1 July 2019

Published in: Concrete Operators (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/1810.10070

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Hardy spaces (30H10) Inner functions of one complex variable (30J05)

Cites Work

• Title not available (Why is that?)
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• A Bloch-Landau Theorem for Slice Regular Functions
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