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dc.contributor.authorKumar, Rajen_US
dc.contributor.authorSatyapriyaen_US
dc.contributor.authorSingh, Mansimranen_US
dc.date.accessioned2023-01-03T18:28:09Z
dc.date.available2023-01-03T18:28:09Z
dc.date.issued2023-01
dc.identifier.citationKumar, R., Satyapriya & Singh, M. (2023). Riesz MRA of dyadic dilations and the corresponding Riesz wavelet on LCA groups. TWMS Journal Of Applied And Engineering Mathematics, 13(1), 189-201.en_US
dc.identifier.issn2146-1147
dc.identifier.issn2587-1013
dc.identifier.urihttps://hdl.handle.net/11729/5213
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/current/118-vol13no1/955
dc.description.abstractWe have explored the concept of Riesz multiresolution analysis (Riesz MRA) on a locally compact Abelian group G, and have done a detailed study of the methods of construction of a Riesz wavelet from the given Riesz MRA. For simplicity, we have assumed the order of dilations to be two, i.e. we have worked with dyadic dilations. We have proved that precisely one function is required to construct a Riesz wavelet basis for the space L²(G).en_US
dc.language.isoengen_US
dc.publisherIşık University Pressen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectLCA groupsen_US
dc.subjectRiesz basisen_US
dc.subjectMultiresolution analysisen_US
dc.subjectDyadic dilationen_US
dc.subjectRefinement equationen_US
dc.titleRiesz MRA of dyadic dilations and the corresponding Riesz wavelet on LCA groupsen_US
dc.typearticleen_US
dc.description.versionPublisher's Versionen_US
dc.relation.journalTWMS Journal Of Applied And Engineering Mathematicsen_US
dc.identifier.volume13
dc.identifier.issue1
dc.identifier.startpage189
dc.identifier.endpage201
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US
dc.relation.indexEmerging Sources Citation Index (ESCI)en_US
dc.relation.indexMathScineten_US
dc.relation.indexScopusen_US


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