Discrete Hardy spaces
type: Item
instance of: scholarly article
title: Discrete Hardy spaces
zbMATH Open document ID: 1308.44002
author: Min Ku
author: Paula Cerejeiras
author: Uwe Kähler
author: Frank Sommen
published in: The Journal of Fourier Analysis and Applications
publication date: 2015-01-09T00:00:00Z
full work available at URL: https://biblio.ugent.be/publication/5811767
review text: The authors summarize the contents of this paper in the abstract as follows: We study the boundary behavior of discrete monogenic functions, i.e. null-solutions of a discrete Dirac operator, in the upper and lower half space. Calculating the Fourier symbol of the boundary operator we construct the corresponding discrete Hilbert transforms, the projection operators arising from them, and discuss the notion of discrete Hardy spaces. Hereby, we focus on the 3D-case with the generalization to the \(n\)-dimensional case being straightforward.
reviewed by: Kun Soo Chang
Mathematics Subject Classification ID: 44A15
Mathematics Subject Classification ID: 42A38
Mathematics Subject Classification ID: 65T50
zbMATH DE Number: 6384988
zbMATH Keywords: discrete Dirac operator
zbMATH Keywords: discrete Cauchy transform
zbMATH Keywords: discrete monogenic functions
zbMATH Keywords: Hardy space
zbMATH Keywords: Fourier symbol
zbMATH Keywords: discrete Hilbert transform
MaRDI profile type: Publication
OpenAlex ID: W2042371540
Wikidata QID: Q58038869
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DOI: 10.1007/S00041-014-9331-8
description: scientific article; zbMATH DE number 6384988