Explicit formulas for OPUC and POPUC associated with measures which are simple modifications of the Lebesgue measure

Detalhes bibliográficos
Autor(a) principal: Bracciali, Cleonice F. [UNESP]
Data de Publicação: 2015
Outros Autores: Silva, Jairo S. [UNESP], Sri Ranga, A. [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1016/j.amc.2015.09.067
http://hdl.handle.net/11449/172131
Resumo: We consider nontrivial probability measures, obtained as simple modifications of the Lebesgue measure, which include mass points at z=1 and z=i. The orthogonal polynomials, para-orthogonal polynomials and Toeplitz matrices associated with these measures are presented.
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spelling Explicit formulas for OPUC and POPUC associated with measures which are simple modifications of the Lebesgue measureChain sequencesOrthogonal polynomials on the unit circlePara-orthogonal polynomialsWe consider nontrivial probability measures, obtained as simple modifications of the Lebesgue measure, which include mass points at z=1 and z=i. The orthogonal polynomials, para-orthogonal polynomials and Toeplitz matrices associated with these measures are presented.Departamento de Matemática Aplicada, IBILCE, UNESP - Universidade Estadual PaulistaDepartamento de Matemática, Universidade Federal Do MaranhãoPós-Graduação em Matemática, IBILCE, UNESP - Universidade Estadual PaulistaDepartamento de Matemática Aplicada, IBILCE, UNESP - Universidade Estadual PaulistaPós-Graduação em Matemática, IBILCE, UNESP - Universidade Estadual PaulistaUniversidade Estadual Paulista (Unesp)Bracciali, Cleonice F. [UNESP]Silva, Jairo S. [UNESP]Sri Ranga, A. [UNESP]2018-12-11T16:58:47Z2018-12-11T16:58:47Z2015-11-15info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article820-831application/pdfhttp://dx.doi.org/10.1016/j.amc.2015.09.067Applied Mathematics and Computation, v. 271, p. 820-831.0096-3003http://hdl.handle.net/11449/17213110.1016/j.amc.2015.09.0672-s2.0-849440813492-s2.0-84944081349.pdf83003224526224670000-0002-6823-4204Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengApplied Mathematics and Computation1,065info:eu-repo/semantics/openAccess2023-11-03T06:12:09Zoai:repositorio.unesp.br:11449/172131Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462023-11-03T06:12:09Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Explicit formulas for OPUC and POPUC associated with measures which are simple modifications of the Lebesgue measure
title Explicit formulas for OPUC and POPUC associated with measures which are simple modifications of the Lebesgue measure
spellingShingle Explicit formulas for OPUC and POPUC associated with measures which are simple modifications of the Lebesgue measure
Bracciali, Cleonice F. [UNESP]
Chain sequences
Orthogonal polynomials on the unit circle
Para-orthogonal polynomials
title_short Explicit formulas for OPUC and POPUC associated with measures which are simple modifications of the Lebesgue measure
title_full Explicit formulas for OPUC and POPUC associated with measures which are simple modifications of the Lebesgue measure
title_fullStr Explicit formulas for OPUC and POPUC associated with measures which are simple modifications of the Lebesgue measure
title_full_unstemmed Explicit formulas for OPUC and POPUC associated with measures which are simple modifications of the Lebesgue measure
title_sort Explicit formulas for OPUC and POPUC associated with measures which are simple modifications of the Lebesgue measure
author Bracciali, Cleonice F. [UNESP]
author_facet Bracciali, Cleonice F. [UNESP]
Silva, Jairo S. [UNESP]
Sri Ranga, A. [UNESP]
author_role author
author2 Silva, Jairo S. [UNESP]
Sri Ranga, A. [UNESP]
author2_role author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Bracciali, Cleonice F. [UNESP]
Silva, Jairo S. [UNESP]
Sri Ranga, A. [UNESP]
dc.subject.por.fl_str_mv Chain sequences
Orthogonal polynomials on the unit circle
Para-orthogonal polynomials
topic Chain sequences
Orthogonal polynomials on the unit circle
Para-orthogonal polynomials
description We consider nontrivial probability measures, obtained as simple modifications of the Lebesgue measure, which include mass points at z=1 and z=i. The orthogonal polynomials, para-orthogonal polynomials and Toeplitz matrices associated with these measures are presented.
publishDate 2015
dc.date.none.fl_str_mv 2015-11-15
2018-12-11T16:58:47Z
2018-12-11T16:58:47Z
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/10.1016/j.amc.2015.09.067
Applied Mathematics and Computation, v. 271, p. 820-831.
0096-3003
http://hdl.handle.net/11449/172131
10.1016/j.amc.2015.09.067
2-s2.0-84944081349
2-s2.0-84944081349.pdf
8300322452622467
0000-0002-6823-4204
url http://dx.doi.org/10.1016/j.amc.2015.09.067
http://hdl.handle.net/11449/172131
identifier_str_mv Applied Mathematics and Computation, v. 271, p. 820-831.
0096-3003
10.1016/j.amc.2015.09.067
2-s2.0-84944081349
2-s2.0-84944081349.pdf
8300322452622467
0000-0002-6823-4204
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Applied Mathematics and Computation
1,065
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 820-831
application/pdf
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_ 1803046304586137600

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