3D deformations by means of monogenic functions
Autor(a) principal: | |
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Data de Publicação: | 2013 |
Outros Autores: | |
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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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 |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
instacron_str |
RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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 |
repository.mail.fl_str_mv |
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1799136972144377856 |