3D deformations by means of monogenic functions

Detalhes bibliográficos
Autor(a) principal: Morais, João
Data de Publicação: 2013
Outros Autores: Ferreira, Milton
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.8/3807
Resumo: In 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.
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spelling 3D deformations by means of monogenic functionsQuaternion analysisRiesz systemMonogenic functionsQuasiconformal mappingsIn 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.Wiley Online LibraryIC-OnlineMorais, JoãoFerreira, Milton2019-02-06T18:05:42Z2013-042013-04-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.8/3807engFerreira M., and Morais J., 3D deformations by means of monogenic functions, Math. Meth. Appl. Sci., 36(7) (2013), 780-7930170-42141099-147610.1002/mma.2625info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-01-17T15:47:58Zoai:iconline.ipleiria.pt:10400.8/3807Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T01:47:50.395870Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv 3D deformations by means of monogenic functions
title 3D deformations by means of monogenic functions
spellingShingle 3D deformations by means of monogenic functions
Morais, João
Quaternion analysis
Riesz system
Monogenic functions
Quasiconformal mappings
title_short 3D deformations by means of monogenic functions
title_full 3D deformations by means of monogenic functions
title_fullStr 3D deformations by means of monogenic functions
title_full_unstemmed 3D deformations by means of monogenic functions
title_sort 3D deformations by means of monogenic functions
author Morais, João
author_facet Morais, João
Ferreira, Milton
author_role author
author2 Ferreira, Milton
author2_role author
dc.contributor.none.fl_str_mv IC-Online
dc.contributor.author.fl_str_mv Morais, João
Ferreira, Milton
dc.subject.por.fl_str_mv Quaternion analysis
Riesz system
Monogenic functions
Quasiconformal mappings
topic Quaternion analysis
Riesz system
Monogenic functions
Quasiconformal mappings
description In 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.
publishDate 2013
dc.date.none.fl_str_mv 2013-04
2013-04-01T00:00:00Z
2019-02-06T18:05:42Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.8/3807
url http://hdl.handle.net/10400.8/3807
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Ferreira M., and Morais J., 3D deformations by means of monogenic functions, Math. Meth. Appl. Sci., 36(7) (2013), 780-793
0170-4214
1099-1476
10.1002/mma.2625
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Wiley Online Library
publisher.none.fl_str_mv Wiley Online Library
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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instacron_str RCAAP
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collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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