Mixed orthogonality on the unit ball
Autor(a) principal: | |
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Data de Publicação: | 2021 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1007/s40314-021-01631-2 http://hdl.handle.net/11449/229744 |
Resumo: | We consider multivariate functions satisfying mixed orthogonality conditions with respect to a given moment functional. This kind of orthogonality means that the product of functions of different parity order is computed by means of the moment functional, and the product of elements of the same parity order is computed by a modification of the original moment functional. Three term relations and a Favard type theorem for this kind of mixed orthogonal functions are proved. In addition, a method to construct bivariate mixed orthogonal functions from univariate orthogonal polynomials and univariate mixed orthogonal functions is presented. Finally, we give a complete description of a sequence of mixed orthogonal functions on the unit disk on R2, that includes, as a particular case, the classical orthogonal polynomials on the disk. |
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Repositório Institucional da UNESP |
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Mixed orthogonality on the unit ballBivariate orthogonal polynomialsFavard-type theoremMixed orthogonalityMultivariate orthogonal functionsThree term relationsWe consider multivariate functions satisfying mixed orthogonality conditions with respect to a given moment functional. This kind of orthogonality means that the product of functions of different parity order is computed by means of the moment functional, and the product of elements of the same parity order is computed by a modification of the original moment functional. Three term relations and a Favard type theorem for this kind of mixed orthogonal functions are proved. In addition, a method to construct bivariate mixed orthogonal functions from univariate orthogonal polynomials and univariate mixed orthogonal functions is presented. Finally, we give a complete description of a sequence of mixed orthogonal functions on the unit disk on R2, that includes, as a particular case, the classical orthogonal polynomials on the disk.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Ministerio de Ciencia, Innovación y UniversidadesDepartamento de Matemática IBILCE UNESP - Universidade Estadual PaulistaInstituto de Matemáticas IEMath-GR and Departamento de Matemática Aplicada Facultad de Ciencias Universidad de GranadaDepartamento de Matemática IBILCE UNESP - Universidade Estadual PaulistaFAPESP: 2016/09906-0CAPES: 88881.310741/2018-01Ministerio de Ciencia, Innovación y Universidades: PGC2018-094932-B-I00Universidade Estadual Paulista (UNESP)Universidad de GranadaBracciali, Cleonice F. [UNESP]Pérez, Teresa E.2022-04-29T08:35:36Z2022-04-29T08:35:36Z2021-12-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1007/s40314-021-01631-2Computational and Applied Mathematics, v. 40, n. 8, 2021.1807-03022238-3603http://hdl.handle.net/11449/22974410.1007/s40314-021-01631-22-s2.0-85117377680Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengComputational and Applied Mathematicsinfo:eu-repo/semantics/openAccess2022-04-29T08:35:36Zoai:repositorio.unesp.br:11449/229744Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T20:30:26.254665Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Mixed orthogonality on the unit ball |
title |
Mixed orthogonality on the unit ball |
spellingShingle |
Mixed orthogonality on the unit ball Bracciali, Cleonice F. [UNESP] Bivariate orthogonal polynomials Favard-type theorem Mixed orthogonality Multivariate orthogonal functions Three term relations |
title_short |
Mixed orthogonality on the unit ball |
title_full |
Mixed orthogonality on the unit ball |
title_fullStr |
Mixed orthogonality on the unit ball |
title_full_unstemmed |
Mixed orthogonality on the unit ball |
title_sort |
Mixed orthogonality on the unit ball |
author |
Bracciali, Cleonice F. [UNESP] |
author_facet |
Bracciali, Cleonice F. [UNESP] Pérez, Teresa E. |
author_role |
author |
author2 |
Pérez, Teresa E. |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (UNESP) Universidad de Granada |
dc.contributor.author.fl_str_mv |
Bracciali, Cleonice F. [UNESP] Pérez, Teresa E. |
dc.subject.por.fl_str_mv |
Bivariate orthogonal polynomials Favard-type theorem Mixed orthogonality Multivariate orthogonal functions Three term relations |
topic |
Bivariate orthogonal polynomials Favard-type theorem Mixed orthogonality Multivariate orthogonal functions Three term relations |
description |
We consider multivariate functions satisfying mixed orthogonality conditions with respect to a given moment functional. This kind of orthogonality means that the product of functions of different parity order is computed by means of the moment functional, and the product of elements of the same parity order is computed by a modification of the original moment functional. Three term relations and a Favard type theorem for this kind of mixed orthogonal functions are proved. In addition, a method to construct bivariate mixed orthogonal functions from univariate orthogonal polynomials and univariate mixed orthogonal functions is presented. Finally, we give a complete description of a sequence of mixed orthogonal functions on the unit disk on R2, that includes, as a particular case, the classical orthogonal polynomials on the disk. |
publishDate |
2021 |
dc.date.none.fl_str_mv |
2021-12-01 2022-04-29T08:35:36Z 2022-04-29T08:35:36Z |
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://dx.doi.org/10.1007/s40314-021-01631-2 Computational and Applied Mathematics, v. 40, n. 8, 2021. 1807-0302 2238-3603 http://hdl.handle.net/11449/229744 10.1007/s40314-021-01631-2 2-s2.0-85117377680 |
url |
http://dx.doi.org/10.1007/s40314-021-01631-2 http://hdl.handle.net/11449/229744 |
identifier_str_mv |
Computational and Applied Mathematics, v. 40, n. 8, 2021. 1807-0302 2238-3603 10.1007/s40314-021-01631-2 2-s2.0-85117377680 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Computational and Applied Mathematics |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1808129211910586368 |