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...
- 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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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 |
dc.type.version.spa.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.coar.spa.fl_str_mv |
http://purl.org/coar/resource_type/c_6501 |
dc.type.coarversion.spa.fl_str_mv |
http://purl.org/coar/version/c_970fb48d4fbd8a85 |
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 https://repositorio.unal.edu.co/bitstream/unal/73807/2/40844-183894-1-PB.pdf.jpg |
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repository.name.fl_str_mv |
Repositorio Institucional Universidad Nacional de Colombia |
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1814089191650230272 |