Quaternionic inner and outer functions
type: Item
instance of: scholarly article
title: Quaternionic inner and outer functions
zbMATH Open document ID: 1472.30023
author: Alessandro Monguzzi
author: Giulia Sarfatti
author: Daniel Seco
published in: Concrete Operators
publication date: 2019-07-01T00:00:00Z
full work available at URL: https://arxiv.org/abs/1810.10070
review text: The paper contributes to a deeper understanding and characterization of the outer and inner functions in the non-commutative quaternionic context. These functions have proven to be useful in a factorization theorem for the Hardy space of the so-called slice regular functions in the quaternionic unit ball.
Mathematics Subject Classification ID: 30G35
Mathematics Subject Classification ID: 30H10
Mathematics Subject Classification ID: 30J05
zbMATH DE Number: 7075292
reviewed by: Ricardo Abreu-Blaya
MaRDI profile type: Publication
OpenAlex ID: W2964251725
arXiv ID: 1810.10070
cites work: Self-mappings of the quaternionic unit ball: multiplier properties, Schwarz-Pick inequality, and Nevanlinna--Pick interpolation problem
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cites work: Orthogonal polynomials, reproducing kernels, and zeros of optimal approximants
cites work: Inner functions and operator theory
cites work: Quaternionic Hardy spaces
cites work: A Bloch-Landau Theorem for Slice Regular Functions
cites work: Q3922907
cites work: Regular Functions of a Quaternionic Variable
cites work: Slice regular functions on real alternative algebras
cites work: Shift invariant subspaces of slice $L^2$ functions
cites work: A characterization of Dirichlet-inner functions
cites work: Regular Moebius transformations of the space of quaternions
cites work: Quaternion Reproducing Kernel Hilbert Spaces: Existence and Uniqueness Conditions
Wikidata QID: Q128025760
DOI: 10.1515/CONOP-2019-0004
description: scientific article