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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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