Functional analysis, orthogonal polynomials and a theorem of Markov

The connection between functional analysis and the classical theory of orthogonal polynomials is explored in detail, at least in the bounded case. A functional analytic proof of Markov's theorem, the main link between the two subjects, is given. A special case of Darboux's asymptotic metho...

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Autores:
Charris Castañeda, Jairo Antonio
Gómez, Luis A.
Tipo de recurso:
Article of journal
Fecha de publicación:
1988
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/43213
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/43213
http://bdigital.unal.edu.co/33311/
Palabra clave:
51 Matemáticas / Mathematics
Functional analysis
theory of orthogonal polynomials
Markov theorem
asymptotic method of Darboux
Análisis funcional
teoría de polinomios ortogonales
teorema de Markov
método asintótico de Darboux
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Charris Castañeda, Jairo Antonioc6678229-d550-4534-a647-753c94d4ddd5300Gómez, Luis A.d6e8c425-e659-42f7-bc4c-ef1cec8050f83002019-06-28T11:41:49Z2019-06-28T11:41:49Z1988-01-01ISSN: 2357-4100https://repositorio.unal.edu.co/handle/unal/43213http://bdigital.unal.edu.co/33311/The connection between functional analysis and the classical theory of orthogonal polynomials is explored in detail, at least in the bounded case. A functional analytic proof of Markov's theorem, the main link between the two subjects, is given. A special case of Darboux's asymptotic method is presented, and an example showing the ~ower of asymptotic methods to determine orthogonality measures of systems defined by three terms recurrence relations is included.Se estudia en detalle la conexión entre el análisis funcional y la teoría de polinomios ortogonales, al menos en el caso acotado. Se da una demostración del teorema de Markov desde el punto de vista del análisis funcional. Este teorema es el eslabón principal entre las dos teorías. Se examina además un caso especial del método asintótico de Darboux para la determinación de la medida de ortogonalidad de sistemas definidos por relaciones de recurrencia, lo cual se ilustra por medio de un ejemplo.application/pdfspaUniversidad Nacional de Colombiahttp://revistas.unal.edu.co/index.php/recolma/article/view/33114Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasCharris Castañeda, Jairo Antonio and Gómez, Luis A. (1988) Functional analysis, orthogonal polynomials and a theorem of Markov. Revista Colombiana de Matemáticas, 22 (1-4). pp. 77-128. ISSN 2357-410051 Matemáticas / MathematicsFunctional analysistheory of orthogonal polynomialsMarkov theoremasymptotic method of DarbouxAnálisis funcionalteoría de polinomios ortogonalesteorema de Markovmétodo asintótico de DarbouxFunctional analysis, orthogonal polynomials and a theorem of MarkovArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTORIGINAL33114-122762-1-PB.pdfapplication/pdf13224486https://repositorio.unal.edu.co/bitstream/unal/43213/1/33114-122762-1-PB.pdff32fbf59c57958af1cf4e9599f581ff7MD51THUMBNAIL33114-122762-1-PB.pdf.jpg33114-122762-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg6330https://repositorio.unal.edu.co/bitstream/unal/43213/2/33114-122762-1-PB.pdf.jpg77c6b60a4e8804ff1c14b15d0958fa46MD52unal/43213oai:repositorio.unal.edu.co:unal/432132023-02-11 23:04:44.344Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv Functional analysis, orthogonal polynomials and a theorem of Markov
title Functional analysis, orthogonal polynomials and a theorem of Markov
spellingShingle Functional analysis, orthogonal polynomials and a theorem of Markov
51 Matemáticas / Mathematics
Functional analysis
theory of orthogonal polynomials
Markov theorem
asymptotic method of Darboux
Análisis funcional
teoría de polinomios ortogonales
teorema de Markov
método asintótico de Darboux
title_short Functional analysis, orthogonal polynomials and a theorem of Markov
title_full Functional analysis, orthogonal polynomials and a theorem of Markov
title_fullStr Functional analysis, orthogonal polynomials and a theorem of Markov
title_full_unstemmed Functional analysis, orthogonal polynomials and a theorem of Markov
title_sort Functional analysis, orthogonal polynomials and a theorem of Markov
dc.creator.fl_str_mv Charris Castañeda, Jairo Antonio
Gómez, Luis A.
dc.contributor.author.spa.fl_str_mv Charris Castañeda, Jairo Antonio
Gómez, Luis A.
dc.subject.ddc.spa.fl_str_mv 51 Matemáticas / Mathematics
topic 51 Matemáticas / Mathematics
Functional analysis
theory of orthogonal polynomials
Markov theorem
asymptotic method of Darboux
Análisis funcional
teoría de polinomios ortogonales
teorema de Markov
método asintótico de Darboux
dc.subject.proposal.spa.fl_str_mv Functional analysis
theory of orthogonal polynomials
Markov theorem
asymptotic method of Darboux
Análisis funcional
teoría de polinomios ortogonales
teorema de Markov
método asintótico de Darboux
description The connection between functional analysis and the classical theory of orthogonal polynomials is explored in detail, at least in the bounded case. A functional analytic proof of Markov's theorem, the main link between the two subjects, is given. A special case of Darboux's asymptotic method is presented, and an example showing the ~ower of asymptotic methods to determine orthogonality measures of systems defined by three terms recurrence relations is included.
publishDate 1988
dc.date.issued.spa.fl_str_mv 1988-01-01
dc.date.accessioned.spa.fl_str_mv 2019-06-28T11:41:49Z
dc.date.available.spa.fl_str_mv 2019-06-28T11:41:49Z
dc.type.spa.fl_str_mv Artículo de revista
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dc.type.coarversion.spa.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.content.spa.fl_str_mv Text
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format http://purl.org/coar/resource_type/c_6501
status_str publishedVersion
dc.identifier.issn.spa.fl_str_mv ISSN: 2357-4100
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/43213
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/33311/
identifier_str_mv ISSN: 2357-4100
url https://repositorio.unal.edu.co/handle/unal/43213
http://bdigital.unal.edu.co/33311/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv http://revistas.unal.edu.co/index.php/recolma/article/view/33114
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas
Revista Colombiana de Matemáticas
dc.relation.references.spa.fl_str_mv Charris Castañeda, Jairo Antonio and Gómez, Luis A. (1988) Functional analysis, orthogonal polynomials and a theorem of Markov. Revista Colombiana de Matemáticas, 22 (1-4). pp. 77-128. ISSN 2357-4100
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
dc.rights.uri.spa.fl_str_mv http://creativecommons.org/licenses/by-nc/4.0/
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Universidad Nacional de Colombia
institution Universidad Nacional de Colombia
bitstream.url.fl_str_mv https://repositorio.unal.edu.co/bitstream/unal/43213/1/33114-122762-1-PB.pdf
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repository.name.fl_str_mv Repositorio Institucional Universidad Nacional de Colombia
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