Perturbations of laguerre-hahn class linear functionals by dirac delta derivatives

We analyze perturbations of linear functionals (both on the real line and on the unit circle) that belong to the Laguerre-Hahn class. In particular, we obtain an expression for the Stieltjes and Caratheodory functions associated with the perturbed functionals, and we show that the Laguerre-Hahn clas...

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Autores:
Dueñas, Herbert
Garza, Luis
Tipo de recurso:
Article of journal
Fecha de publicación:
2012
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/73807
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/73807
http://bdigital.unal.edu.co/38284/
Palabra clave:
linear functionals
Laguerre-Hahn class
Stieltjes functions
Carath
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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oai_identifier_str oai:repositorio.unal.edu.co:unal/73807
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repository_id_str
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_abf2Dueñas, Herbert16b3ae7e-c0a9-45ed-91dd-eeca48580be0300Garza, Luis2ba7c4d1-e168-418d-bd88-819b2ec8beba3002019-07-03T16:52:12Z2019-07-03T16:52:12Z2012https://repositorio.unal.edu.co/handle/unal/73807http://bdigital.unal.edu.co/38284/We analyze perturbations of linear functionals (both on the real line and on the unit circle) that belong to the Laguerre-Hahn class. In particular, we obtain an expression for the Stieltjes and Caratheodory functions associated with the perturbed functionals, and we show that the Laguerre-Hahn class is preserved. We also discuss the invariance of the class under the Szegö transformation.application/pdfspaBoletín de Matemáticashttp://revistas.unal.edu.co/index.php/bolma/article/view/40844Universidad Nacional de Colombia Revistas electrónicas UN Boletín de MatemáticasBoletín de MatemáticasBoletín de Matemáticas; Vol. 19, núm. 1 (2012); 65-90 Boletín de Matemáticas; Vol. 19, núm. 1 (2012); 65-90 2357-6529 0120-0380Dueñas, Herbert and Garza, Luis (2012) Perturbations of laguerre-hahn class linear functionals by dirac delta derivatives. Boletín de Matemáticas; Vol. 19, núm. 1 (2012); 65-90 Boletín de Matemáticas; Vol. 19, núm. 1 (2012); 65-90 2357-6529 0120-0380 .Perturbations of laguerre-hahn class linear functionals by dirac delta derivativesArtículo 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/ARTlinear functionalsLaguerre-Hahn classStieltjes functionsCarathORIGINAL40844-183894-1-PB.pdfapplication/pdf141113https://repositorio.unal.edu.co/bitstream/unal/73807/1/40844-183894-1-PB.pdf2be4eed72fe69ee841439a801c3c818bMD51THUMBNAIL40844-183894-1-PB.pdf.jpg40844-183894-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg4803https://repositorio.unal.edu.co/bitstream/unal/73807/2/40844-183894-1-PB.pdf.jpg1d71fa82bdb38044ebbe7279208e7f27MD52unal/73807oai:repositorio.unal.edu.co:unal/738072023-06-30 23:03:49.03Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv Perturbations of laguerre-hahn class linear functionals by dirac delta derivatives
title Perturbations of laguerre-hahn class linear functionals by dirac delta derivatives
spellingShingle Perturbations of laguerre-hahn class linear functionals by dirac delta derivatives
linear functionals
Laguerre-Hahn class
Stieltjes functions
Carath
title_short Perturbations of laguerre-hahn class linear functionals by dirac delta derivatives
title_full Perturbations of laguerre-hahn class linear functionals by dirac delta derivatives
title_fullStr Perturbations of laguerre-hahn class linear functionals by dirac delta derivatives
title_full_unstemmed Perturbations of laguerre-hahn class linear functionals by dirac delta derivatives
title_sort Perturbations of laguerre-hahn class linear functionals by dirac delta derivatives
dc.creator.fl_str_mv Dueñas, Herbert
Garza, Luis
dc.contributor.author.spa.fl_str_mv Dueñas, Herbert
Garza, Luis
dc.subject.proposal.spa.fl_str_mv linear functionals
Laguerre-Hahn class
Stieltjes functions
Carath
topic linear functionals
Laguerre-Hahn class
Stieltjes functions
Carath
description We analyze perturbations of linear functionals (both on the real line and on the unit circle) that belong to the Laguerre-Hahn class. In particular, we obtain an expression for the Stieltjes and Caratheodory functions associated with the perturbed functionals, and we show that the Laguerre-Hahn class is preserved. We also discuss the invariance of the class under the Szegö transformation.
publishDate 2012
dc.date.issued.spa.fl_str_mv 2012
dc.date.accessioned.spa.fl_str_mv 2019-07-03T16:52:12Z
dc.date.available.spa.fl_str_mv 2019-07-03T16:52:12Z
dc.type.spa.fl_str_mv Artículo de revista
dc.type.coar.fl_str_mv http://purl.org/coar/resource_type/c_2df8fbb1
dc.type.driver.spa.fl_str_mv info:eu-repo/semantics/article
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dc.type.content.spa.fl_str_mv Text
dc.type.redcol.spa.fl_str_mv http://purl.org/redcol/resource_type/ART
format http://purl.org/coar/resource_type/c_6501
status_str publishedVersion
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/73807
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/38284/
url https://repositorio.unal.edu.co/handle/unal/73807
http://bdigital.unal.edu.co/38284/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv http://revistas.unal.edu.co/index.php/bolma/article/view/40844
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Boletín de Matemáticas
Boletín de Matemáticas
dc.relation.ispartofseries.none.fl_str_mv Boletín de Matemáticas; Vol. 19, núm. 1 (2012); 65-90 Boletín de Matemáticas; Vol. 19, núm. 1 (2012); 65-90 2357-6529 0120-0380
dc.relation.references.spa.fl_str_mv Dueñas, Herbert and Garza, Luis (2012) Perturbations of laguerre-hahn class linear functionals by dirac delta derivatives. Boletín de Matemáticas; Vol. 19, núm. 1 (2012); 65-90 Boletín de Matemáticas; Vol. 19, núm. 1 (2012); 65-90 2357-6529 0120-0380 .
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 Boletín de Matemáticas
institution Universidad Nacional de Colombia
bitstream.url.fl_str_mv https://repositorio.unal.edu.co/bitstream/unal/73807/1/40844-183894-1-PB.pdf
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repository.name.fl_str_mv Repositorio Institucional Universidad Nacional de Colombia
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