Please use this identifier to cite or link to this item: http://hdl.handle.net/10773/29892
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dc.contributor.authorCerejeiras, Paulapt_PT
dc.contributor.authorKähler, Uwept_PT
dc.contributor.authorLegatiuk, Anastasiiapt_PT
dc.contributor.authorLegatiuk, Dmitriipt_PT
dc.date.accessioned2020-11-24T20:36:48Z-
dc.date.available2020-11-24T20:36:48Z-
dc.date.issued2021-02-
dc.identifier.issn1661-8254pt_PT
dc.identifier.urihttp://hdl.handle.net/10773/29892-
dc.description.abstractDiscrete function theory in higher-dimensional setting has been in active development since many years. However, available results focus on studying discrete setting for such canonical domains as half-space, while the case of bounded domains generally remained unconsidered. Therefore, this paper presents the extension of the higher-dimensional function theory to the case of arbitrary bounded domains in R^n. On this way, discrete Stokes’ formula, discrete Borel–Pompeiu formula, as well as discrete Hardy spaces for general bounded domains are constructed. Finally, several discrete Hilbert problems are considered.pt_PT
dc.language.isoengpt_PT
dc.publisherSpringer; Birkhäuserpt_PT
dc.relationDFG - LE 3955/4-1pt_PT
dc.relationUIDB/04106/2020pt_PT
dc.relationUIDP/04106/2020pt_PT
dc.rightsopenAccesspt_PT
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/pt_PT
dc.subjectDiscrete Dirac operatorpt_PT
dc.subjectDiscrete monogenic functionspt_PT
dc.subjectDiscrete function theorypt_PT
dc.subjectDiscrete Cauchy transformpt_PT
dc.subjectDiscrete boundary value problemspt_PT
dc.titleDiscrete Hardy spaces for bounded domains in Rnpt_PT
dc.title.alternativeDiscrete Hardy spaces for bounded domains in $${\mathbb {R}}^{n}$$pt_PT
dc.typearticlept_PT
dc.description.versionpublishedpt_PT
dc.peerreviewedyespt_PT
degois.publication.issue1pt_PT
degois.publication.titleComplex Analysis and Operator Theorypt_PT
degois.publication.volume15pt_PT
dc.identifier.doi10.1007/s11785-020-01047-6pt_PT
dc.identifier.essn1661-8262pt_PT
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CHAG - Artigos

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