Density of spaces of trigonometric polynomials with frequencies from a subgroup in L∝-spaces

Autores
Medina, Juan Miguel; Klotz, Lutz Peter; Riedel, Manfred
Año de publicación
2018
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Let G be an LCA group, H a closed subgroup, Γ the dual group of G and μ be a regular finite non-negative Borel measure on Γ. We give some necessary and sufficient conditions for the density of the set of trigonometric polynomials on Γ with frequencies from H in the space Lα(μ),α∈(0,∞).
Soit G un groupe abélien, localement compact pour une topologie séparée, H un sous-groupe fermé, Γ le groupe dual de G et μ une mesure de Borel positive ou nulle, régulière et finie sur Γ. Nous donnons des conditions nécessaires et suffisantes pour que l'ensemble des polynômes trigonométriques sur Γ avec fréquences dans H soit dense dans Lα(μ),α∈(0,∞).
Fil: Medina, Juan Miguel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Matemáticas; Argentina
Fil: Klotz, Lutz Peter. Universitat Leipzig; Alemania
Fil: Riedel, Manfred. Universitat Leipzig; Alemania
Materia
LCA GROUPS
TRIGONOMETRIC APPROXIMATION
SAMPLING
L∝-SPACE
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/88414
Acceder
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repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Density of spaces of trigonometric polynomials with frequencies from a subgroup in L∝-spacesLes espaces de polynômes trigonométriques avec fréquences dans un sous-groupe sont denses dans les espaces LαMedina, Juan MiguelKlotz, Lutz PeterRiedel, ManfredLCA GROUPSTRIGONOMETRIC APPROXIMATIONSAMPLINGL∝-SPACEhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1Let G be an LCA group, H a closed subgroup, Γ the dual group of G and μ be a regular finite non-negative Borel measure on Γ. We give some necessary and sufficient conditions for the density of the set of trigonometric polynomials on Γ with frequencies from H in the space Lα(μ),α∈(0,∞).Soit G un groupe abélien, localement compact pour une topologie séparée, H un sous-groupe fermé, Γ le groupe dual de G et μ une mesure de Borel positive ou nulle, régulière et finie sur Γ. Nous donnons des conditions nécessaires et suffisantes pour que l'ensemble des polynômes trigonométriques sur Γ avec fréquences dans H soit dense dans Lα(μ),α∈(0,∞).Fil: Medina, Juan Miguel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Matemáticas; ArgentinaFil: Klotz, Lutz Peter. Universitat Leipzig; AlemaniaFil: Riedel, Manfred. Universitat Leipzig; AlemaniaElsevier France-editions Scientifiques Medicales Elsevier2018-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/88414Medina, Juan Miguel; Klotz, Lutz Peter; Riedel, Manfred; Density of spaces of trigonometric polynomials with frequencies from a subgroup in L∝-spaces; Elsevier France-editions Scientifiques Medicales Elsevier; Comptes Rendus Mathematique; 356; 6; 6-2018; 586-5930764-44421631-073XCONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1709.02846info:eu-repo/semantics/altIdentifier/doi/10.1016/j.crma.2018.04.021info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S1631073X18301481info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-11-05T10:31:30Zoai:ri.conicet.gov.ar:11336/88414instacron: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:34982025-11-05 10:31:31.17CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Density of spaces of trigonometric polynomials with frequencies from a subgroup in L∝-spaces
Les espaces de polynômes trigonométriques avec fréquences dans un sous-groupe sont denses dans les espaces Lα
title Density of spaces of trigonometric polynomials with frequencies from a subgroup in L∝-spaces
spellingShingle Density of spaces of trigonometric polynomials with frequencies from a subgroup in L∝-spaces
Medina, Juan Miguel
LCA GROUPS
TRIGONOMETRIC APPROXIMATION
SAMPLING
L∝-SPACE
title_short Density of spaces of trigonometric polynomials with frequencies from a subgroup in L∝-spaces
title_full Density of spaces of trigonometric polynomials with frequencies from a subgroup in L∝-spaces
title_fullStr Density of spaces of trigonometric polynomials with frequencies from a subgroup in L∝-spaces
title_full_unstemmed Density of spaces of trigonometric polynomials with frequencies from a subgroup in L∝-spaces
title_sort Density of spaces of trigonometric polynomials with frequencies from a subgroup in L∝-spaces
dc.creator.none.fl_str_mv Medina, Juan Miguel
Klotz, Lutz Peter
Riedel, Manfred
author Medina, Juan Miguel
author_facet Medina, Juan Miguel
Klotz, Lutz Peter
Riedel, Manfred
author_role author
author2 Klotz, Lutz Peter
Riedel, Manfred
author2_role author
author
dc.subject.none.fl_str_mv LCA GROUPS
TRIGONOMETRIC APPROXIMATION
SAMPLING
L∝-SPACE
topic LCA GROUPS
TRIGONOMETRIC APPROXIMATION
SAMPLING
L∝-SPACE
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Let G be an LCA group, H a closed subgroup, Γ the dual group of G and μ be a regular finite non-negative Borel measure on Γ. We give some necessary and sufficient conditions for the density of the set of trigonometric polynomials on Γ with frequencies from H in the space Lα(μ),α∈(0,∞).
Soit G un groupe abélien, localement compact pour une topologie séparée, H un sous-groupe fermé, Γ le groupe dual de G et μ une mesure de Borel positive ou nulle, régulière et finie sur Γ. Nous donnons des conditions nécessaires et suffisantes pour que l'ensemble des polynômes trigonométriques sur Γ avec fréquences dans H soit dense dans Lα(μ),α∈(0,∞).
Fil: Medina, Juan Miguel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Matemáticas; Argentina
Fil: Klotz, Lutz Peter. Universitat Leipzig; Alemania
Fil: Riedel, Manfred. Universitat Leipzig; Alemania
description Let G be an LCA group, H a closed subgroup, Γ the dual group of G and μ be a regular finite non-negative Borel measure on Γ. We give some necessary and sufficient conditions for the density of the set of trigonometric polynomials on Γ with frequencies from H in the space Lα(μ),α∈(0,∞).
publishDate 2018
dc.date.none.fl_str_mv 2018-06
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/11336/88414
Medina, Juan Miguel; Klotz, Lutz Peter; Riedel, Manfred; Density of spaces of trigonometric polynomials with frequencies from a subgroup in L∝-spaces; Elsevier France-editions Scientifiques Medicales Elsevier; Comptes Rendus Mathematique; 356; 6; 6-2018; 586-593
0764-4442
1631-073X
CONICET Digital
CONICET
url http://hdl.handle.net/11336/88414
identifier_str_mv Medina, Juan Miguel; Klotz, Lutz Peter; Riedel, Manfred; Density of spaces of trigonometric polynomials with frequencies from a subgroup in L∝-spaces; Elsevier France-editions Scientifiques Medicales Elsevier; Comptes Rendus Mathematique; 356; 6; 6-2018; 586-593
0764-4442
1631-073X
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://arxiv.org/abs/1709.02846
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.crma.2018.04.021
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S1631073X18301481
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier France-editions Scientifiques Medicales Elsevier
publisher.none.fl_str_mv Elsevier France-editions Scientifiques Medicales Elsevier
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 13.087074

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