Bounded rank-one perturbations in sampling theory

Autores
Silva, Luis O.; Toloza, Julio Hugo
Año de publicación
2008
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Sampling theory concerns the problem of reconstruction of functions from the knowledge of their values at some discrete set of points. In this paper we derive an orthogonal sampling theory and associated Lagrange interpolation formulae from a family of bounded rank-one perturbations of a self-adjoint operator that has only discrete spectrum of multiplicity one.
Fil: Silva, Luis O.. Universidad Nacional Autónoma de México; México
Fil: Toloza, Julio Hugo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba; Argentina
Materia
Rank-one perturbations
Sampling expansions
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/242123
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/242123
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Bounded rank-one perturbations in sampling theorySilva, Luis O.Toloza, Julio HugoRank-one perturbationsSampling expansionshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1Sampling theory concerns the problem of reconstruction of functions from the knowledge of their values at some discrete set of points. In this paper we derive an orthogonal sampling theory and associated Lagrange interpolation formulae from a family of bounded rank-one perturbations of a self-adjoint operator that has only discrete spectrum of multiplicity one.Fil: Silva, Luis O.. Universidad Nacional Autónoma de México; MéxicoFil: Toloza, Julio Hugo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba; ArgentinaAcademic Press Inc Elsevier Science2008-09info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/242123Silva, Luis O.; Toloza, Julio Hugo; Bounded rank-one perturbations in sampling theory; Academic Press Inc Elsevier Science; Journal of Mathematical Analysis and Applications; 345; 2; 9-2008; 661-6690022-247XCONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0022247X08004447info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jmaa.2008.04.045info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:50:33Zoai:ri.conicet.gov.ar:11336/242123instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 09:50:33.702CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Bounded rank-one perturbations in sampling theory
title Bounded rank-one perturbations in sampling theory
spellingShingle Bounded rank-one perturbations in sampling theory
Silva, Luis O.
Rank-one perturbations
Sampling expansions
title_short Bounded rank-one perturbations in sampling theory
title_full Bounded rank-one perturbations in sampling theory
title_fullStr Bounded rank-one perturbations in sampling theory
title_full_unstemmed Bounded rank-one perturbations in sampling theory
title_sort Bounded rank-one perturbations in sampling theory
dc.creator.none.fl_str_mv Silva, Luis O.
Toloza, Julio Hugo
author Silva, Luis O.
author_facet Silva, Luis O.
Toloza, Julio Hugo
author_role author
author2 Toloza, Julio Hugo
author2_role author
dc.subject.none.fl_str_mv Rank-one perturbations
Sampling expansions
topic Rank-one perturbations
Sampling expansions
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Sampling theory concerns the problem of reconstruction of functions from the knowledge of their values at some discrete set of points. In this paper we derive an orthogonal sampling theory and associated Lagrange interpolation formulae from a family of bounded rank-one perturbations of a self-adjoint operator that has only discrete spectrum of multiplicity one.
Fil: Silva, Luis O.. Universidad Nacional Autónoma de México; México
Fil: Toloza, Julio Hugo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba; Argentina
description Sampling theory concerns the problem of reconstruction of functions from the knowledge of their values at some discrete set of points. In this paper we derive an orthogonal sampling theory and associated Lagrange interpolation formulae from a family of bounded rank-one perturbations of a self-adjoint operator that has only discrete spectrum of multiplicity one.
publishDate 2008
dc.date.none.fl_str_mv 2008-09
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/242123
Silva, Luis O.; Toloza, Julio Hugo; Bounded rank-one perturbations in sampling theory; Academic Press Inc Elsevier Science; Journal of Mathematical Analysis and Applications; 345; 2; 9-2008; 661-669
0022-247X
CONICET Digital
CONICET
url http://hdl.handle.net/11336/242123
identifier_str_mv Silva, Luis O.; Toloza, Julio Hugo; Bounded rank-one perturbations in sampling theory; Academic Press Inc Elsevier Science; Journal of Mathematical Analysis and Applications; 345; 2; 9-2008; 661-669
0022-247X
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0022247X08004447
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jmaa.2008.04.045
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Academic Press Inc Elsevier Science
publisher.none.fl_str_mv Academic Press Inc Elsevier Science
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.070432

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