ON ZEROS OF PARAORTHOGONAL POLYNOMIALS

Detalhes bibliográficos
Autor(a) principal: Lun, Yen Chi [UNESP]
Data de Publicação: 2019
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1090/proc/14359
http://hdl.handle.net/11449/185911
Resumo: We prove some results concerning the behaviour of zeros of families of paraorthogonal polynomials on the unit circle. We establish an interlacing property of the zeros of some functions related to the paraorthogonal polynomials. Monotonicity with respect to a parameter is also discussed in detail. A Markov type theorem is proved, and the monotonicity is also considered from a spectral point of view.
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spelling ON ZEROS OF PARAORTHOGONAL POLYNOMIALSParaorthogonal polynomialszerosmonotonicityWe prove some results concerning the behaviour of zeros of families of paraorthogonal polynomials on the unit circle. We establish an interlacing property of the zeros of some functions related to the paraorthogonal polynomials. Monotonicity with respect to a parameter is also discussed in detail. A Markov type theorem is proved, and the monotonicity is also considered from a spectral point of view.Univ Estadual Paulista, UNESP, IBILCE, DMAP, BR-15055450 Sao Jose Do Rio Preto, SP, BrazilUniv Estadual Paulista, UNESP, IBILCE, DMAP, BR-15055450 Sao Jose Do Rio Preto, SP, BrazilAmer Mathematical SocUniversidade Estadual Paulista (Unesp)Lun, Yen Chi [UNESP]2019-10-04T12:39:38Z2019-10-04T12:39:38Z2019-08-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article3389-3399http://dx.doi.org/10.1090/proc/14359Proceedings Of The American Mathematical Society. Providence: Amer Mathematical Soc, v. 147, n. 8, p. 3389-3399, 2019.0002-9939http://hdl.handle.net/11449/18591110.1090/proc/14359WOS:000475753300017Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengProceedings Of The American Mathematical Societyinfo:eu-repo/semantics/openAccess2021-10-23T02:05:56Zoai:repositorio.unesp.br:11449/185911Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-23T02:05:56Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv ON ZEROS OF PARAORTHOGONAL POLYNOMIALS
title ON ZEROS OF PARAORTHOGONAL POLYNOMIALS
spellingShingle ON ZEROS OF PARAORTHOGONAL POLYNOMIALS
Lun, Yen Chi [UNESP]
Paraorthogonal polynomials
zeros
monotonicity
title_short ON ZEROS OF PARAORTHOGONAL POLYNOMIALS
title_full ON ZEROS OF PARAORTHOGONAL POLYNOMIALS
title_fullStr ON ZEROS OF PARAORTHOGONAL POLYNOMIALS
title_full_unstemmed ON ZEROS OF PARAORTHOGONAL POLYNOMIALS
title_sort ON ZEROS OF PARAORTHOGONAL POLYNOMIALS
author Lun, Yen Chi [UNESP]
author_facet Lun, Yen Chi [UNESP]
author_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Lun, Yen Chi [UNESP]
dc.subject.por.fl_str_mv Paraorthogonal polynomials
zeros
monotonicity
topic Paraorthogonal polynomials
zeros
monotonicity
description We prove some results concerning the behaviour of zeros of families of paraorthogonal polynomials on the unit circle. We establish an interlacing property of the zeros of some functions related to the paraorthogonal polynomials. Monotonicity with respect to a parameter is also discussed in detail. A Markov type theorem is proved, and the monotonicity is also considered from a spectral point of view.
publishDate 2019
dc.date.none.fl_str_mv 2019-10-04T12:39:38Z
2019-10-04T12:39:38Z
2019-08-01
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/10.1090/proc/14359
Proceedings Of The American Mathematical Society. Providence: Amer Mathematical Soc, v. 147, n. 8, p. 3389-3399, 2019.
0002-9939
http://hdl.handle.net/11449/185911
10.1090/proc/14359
WOS:000475753300017
url http://dx.doi.org/10.1090/proc/14359
http://hdl.handle.net/11449/185911
identifier_str_mv Proceedings Of The American Mathematical Society. Providence: Amer Mathematical Soc, v. 147, n. 8, p. 3389-3399, 2019.
0002-9939
10.1090/proc/14359
WOS:000475753300017
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Proceedings Of The American Mathematical Society
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 3389-3399
dc.publisher.none.fl_str_mv Amer Mathematical Soc
publisher.none.fl_str_mv Amer Mathematical Soc
dc.source.none.fl_str_mv Web of Science
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_ 1803046168612044800

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