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dc.contributor.author
Cabrelli, Carlos  
dc.contributor.author
Mosquera, Carolina Alejandra  
dc.contributor.author
Paternostro, Victoria  
dc.date.available
2018-01-02T18:01:02Z  
dc.date.issued
2013-12  
dc.identifier.citation
Paternostro, Victoria; Mosquera, Carolina Alejandra; Cabrelli, Carlos; Linear combinations of frame generators in systems of translates; Elsevier Inc; Journal of Mathematical Analysis and Applications; 413; 2; 12-2013; 776-788  
dc.identifier.issn
0022-247X  
dc.identifier.uri
http://hdl.handle.net/11336/32001  
dc.description.abstract
A finitely generated shift invariant space V is a closed subspace of L2(Rd) that can be generated by the integer translates of a finite number of functions. A set of frame generators for V is a set of functions whose integer translates form a frame for V . In this note we give necessary and sucient conditions in order that a minimal set of frame generators can be obtained by taking linear combinations of the given frame generators. Surprisingly the results are very dierent from the recently studied case when the property to be a frame is not required.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Elsevier Inc  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
Shift Invariant Space  
dc.subject
Minimal Generator Set  
dc.subject
Finitely Generated Shift Invariant Space  
dc.subject
Frame  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Linear combinations of frame generators in systems of translates  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2017-12-29T17:31:25Z  
dc.journal.volume
413  
dc.journal.number
2  
dc.journal.pagination
776-788  
dc.journal.pais
Estados Unidos  
dc.description.fil
Fil: Cabrelli, Carlos. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas ; Argentina  
dc.description.fil
Fil: Mosquera, Carolina Alejandra. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas ; Argentina  
dc.description.fil
Fil: Paternostro, Victoria. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas ; Argentina  
dc.journal.title
Journal of Mathematical Analysis and Applications  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.jmaa.2013.12.028  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0022247X13011074  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1305.2944  

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