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dc.contributor.author
Aimar, Hugo Alejandro  
dc.contributor.author
Ramos, Wilfredo Ariel  
dc.date.available
2017-04-11T21:06:45Z  
dc.date.issued
2015-10  
dc.identifier.citation
Aimar, Hugo Alejandro; Ramos, Wilfredo Ariel; Continuous and localized Riesz bases for spaces defined by Muckenhoupt weights; Elsevier; Journal Of Mathematical Analysis And Applications; 430; 1; 10-2015; 417-427  
dc.identifier.issn
0022-247X  
dc.identifier.uri
http://hdl.handle.net/11336/15188  
dc.description.abstract
Let w be an A∞-Muckenhoupt weight in R. Let L2(wdx) denote the space of square integrable real functions with the measure w(x)dx and the weighted scalar product f, g w = R f g wdx. By regularization of an unbalanced Haar system in L2(wdx) we construct absolutely continuous Riesz bases with supports as close to the dyadic intervals as desired. Also the Riesz bounds can be chosen as close to 1 as desired. The main tool used in the proof is Cotlar’s Lemma.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Elsevier  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
Riesz Bases  
dc.subject
Haar Wavelets, Basis Perturbations  
dc.subject
Muckenhoupt Weights  
dc.subject
Cotlars Lemma  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Continuous and localized Riesz bases for spaces defined by Muckenhoupt weights  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2016-11-17T16:27:26Z  
dc.journal.volume
430  
dc.journal.number
1  
dc.journal.pagination
417-427  
dc.journal.pais
Países Bajos  
dc.journal.ciudad
Amsterdam  
dc.description.fil
Fil: Aimar, Hugo Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Santa Fe. Instituto de Matemática Aplicada ; Argentina  
dc.description.fil
Fil: Ramos, Wilfredo Ariel. Universidad Nacional del Nordeste. Facultad de Cs.exactas Naturales y Agrimensura. Departamento de Matematica; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Santa Fe. Instituto de Matemática Aplicada ; Argentina  
dc.journal.title
Journal Of Mathematical Analysis And Applications  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0022247X15004461  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.jmaa.2015.05.003  

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