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3D deformations by means of monogenic functions

dc.contributor.authorMorais, João
dc.contributor.authorFerreira, Milton
dc.date.accessioned2019-02-06T18:05:42Z
dc.date.available2019-02-06T18:05:42Z
dc.date.issued2013-04
dc.description.abstractIn this paper, the authors compute the coefficient of quasiconformality for monogenic functions in an arbitrary ball of the Euclidean space $\mathbb{R}^3$. This quantification may be needed in applications but also appear to be of intrinsic interest. The main tool used is a 3D Fourier series development of monogenic functions in terms of a special set of solid spherical monogenics. Ultimately, we present some examples showing the applicability of our approach.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationFerreira M., and Morais J., 3D deformations by means of monogenic functions, Math. Meth. Appl. Sci., 36(7) (2013), 780-793pt_PT
dc.identifier.doi10.1002/mma.2625pt_PT
dc.identifier.issn0170-4214
dc.identifier.other1099-1476
dc.identifier.urihttp://hdl.handle.net/10400.8/3807
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherWiley Online Librarypt_PT
dc.relationStrategic Project - UI 4106 - 2011-2012
dc.relation.publisherversionhttps://onlinelibrary.wiley.com/doi/full/10.1002/mma.2625pt_PT
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/pt_PT
dc.subjectQuaternion analysispt_PT
dc.subjectRiesz systempt_PT
dc.subjectMonogenic functionspt_PT
dc.subjectQuasiconformal mappingspt_PT
dc.title3D deformations by means of monogenic functionspt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitleStrategic Project - UI 4106 - 2011-2012
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6820 - DCRRNI ID/PEst-C%2FMAT%2FUI4106%2F2011/PT
oaire.citation.endPage793pt_PT
oaire.citation.issue7pt_PT
oaire.citation.startPage780pt_PT
oaire.citation.titleMathematical Methods in the Applied Sciencespt_PT
oaire.citation.volume36pt_PT
oaire.fundingStream6820 - DCRRNI ID
person.familyNameMorais
person.familyNameFerreira
person.givenNameJoao
person.givenNameMilton
person.identifier.ciencia-idCA19-2009-F26D
person.identifier.orcid0000-0001-7045-0224
person.identifier.orcid0000-0003-1816-8293
person.identifier.ridA-2004-2015
person.identifier.scopus-author-id19639247200
person.identifier.scopus-author-id12144179800
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublication085b25f7-c6a5-449e-9729-ddafe6b56876
relation.isAuthorOfPublicationb1460cdc-4ced-46c6-a637-68b425d104dc
relation.isAuthorOfPublication.latestForDiscovery085b25f7-c6a5-449e-9729-ddafe6b56876
relation.isProjectOfPublication9f37d183-d2e8-4bfb-856f-47ce40c20898
relation.isProjectOfPublication.latestForDiscovery9f37d183-d2e8-4bfb-856f-47ce40c20898

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