Harmonic reconstruction systems
- Autores
- Morillas, Patricia Mariela
- Año de publicación
- 2013
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- This paper considers group reconstruction systems (GRS’s), for finite dimensional real or complex Hilbert spaces H, that are associated with unitary representations of finite abelian groups. The relation between these GRS’s and the generalized Fourier matrix is established. A special type of Parseval GRS, called harmonic reconstruction system (HRS), is defined. It is shown that there exist HRS’s that present maximal robustness to erasures given characterizations of certain families.
Fil: Morillas, Patricia Mariela. Consejo Nacional de Invest.cientif.y Tecnicas. Centro Cientifico Tecnol.conicet - San Luis. Instituto de Matematica Aplicada de San Luis; Argentina; - Materia
-
Reconstruction systems
Fusion frames
g-frames
Maximal robustness to erasures - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
- Repositorio
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/1079
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spelling |
Harmonic reconstruction systemsMorillas, Patricia MarielaReconstruction systemsFusion framesg-framesMaximal robustness to erasureshttps://purl.org/becyt/ford/1https://purl.org/becyt/ford/1.1This paper considers group reconstruction systems (GRS’s), for finite dimensional real or complex Hilbert spaces H, that are associated with unitary representations of finite abelian groups. The relation between these GRS’s and the generalized Fourier matrix is established. A special type of Parseval GRS, called harmonic reconstruction system (HRS), is defined. It is shown that there exist HRS’s that present maximal robustness to erasures given characterizations of certain families.Fil: Morillas, Patricia Mariela. Consejo Nacional de Invest.cientif.y Tecnicas. Centro Cientifico Tecnol.conicet - San Luis. Instituto de Matematica Aplicada de San Luis; Argentina;Int Linear Algebra Soc2013-10info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/1079Morillas, Patricia Mariela; Harmonic reconstruction systems; Int Linear Algebra Soc; Electronic Journal Of Linear Algebra; 26; 10-2013; 692-7051081-3810enginfo:eu-repo/semantics/altIdentifier/url/http://www.math.technion.ac.il/iic/ela/ela-articles/articles/vol26_pp692-705.pdfinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:46:40Zoai:ri.conicet.gov.ar:11336/1079instacron: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 09:46:40.64CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
dc.title.none.fl_str_mv |
Harmonic reconstruction systems |
title |
Harmonic reconstruction systems |
spellingShingle |
Harmonic reconstruction systems Morillas, Patricia Mariela Reconstruction systems Fusion frames g-frames Maximal robustness to erasures |
title_short |
Harmonic reconstruction systems |
title_full |
Harmonic reconstruction systems |
title_fullStr |
Harmonic reconstruction systems |
title_full_unstemmed |
Harmonic reconstruction systems |
title_sort |
Harmonic reconstruction systems |
dc.creator.none.fl_str_mv |
Morillas, Patricia Mariela |
author |
Morillas, Patricia Mariela |
author_facet |
Morillas, Patricia Mariela |
author_role |
author |
dc.subject.none.fl_str_mv |
Reconstruction systems Fusion frames g-frames Maximal robustness to erasures |
topic |
Reconstruction systems Fusion frames g-frames Maximal robustness to erasures |
purl_subject.fl_str_mv |
https://purl.org/becyt/ford/1 https://purl.org/becyt/ford/1.1 |
dc.description.none.fl_txt_mv |
This paper considers group reconstruction systems (GRS’s), for finite dimensional real or complex Hilbert spaces H, that are associated with unitary representations of finite abelian groups. The relation between these GRS’s and the generalized Fourier matrix is established. A special type of Parseval GRS, called harmonic reconstruction system (HRS), is defined. It is shown that there exist HRS’s that present maximal robustness to erasures given characterizations of certain families. Fil: Morillas, Patricia Mariela. Consejo Nacional de Invest.cientif.y Tecnicas. Centro Cientifico Tecnol.conicet - San Luis. Instituto de Matematica Aplicada de San Luis; Argentina; |
description |
This paper considers group reconstruction systems (GRS’s), for finite dimensional real or complex Hilbert spaces H, that are associated with unitary representations of finite abelian groups. The relation between these GRS’s and the generalized Fourier matrix is established. A special type of Parseval GRS, called harmonic reconstruction system (HRS), is defined. It is shown that there exist HRS’s that present maximal robustness to erasures given characterizations of certain families. |
publishDate |
2013 |
dc.date.none.fl_str_mv |
2013-10 |
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/11336/1079 Morillas, Patricia Mariela; Harmonic reconstruction systems; Int Linear Algebra Soc; Electronic Journal Of Linear Algebra; 26; 10-2013; 692-705 1081-3810 |
url |
http://hdl.handle.net/11336/1079 |
identifier_str_mv |
Morillas, Patricia Mariela; Harmonic reconstruction systems; Int Linear Algebra Soc; Electronic Journal Of Linear Algebra; 26; 10-2013; 692-705 1081-3810 |
dc.language.none.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/url/http://www.math.technion.ac.il/iic/ela/ela-articles/articles/vol26_pp692-705.pdf |
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 |
Int Linear Algebra Soc |
publisher.none.fl_str_mv |
Int Linear Algebra Soc |
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 |
_version_ |
1844613457385619456 |
score |
13.070432 |