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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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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)