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dc.contributor.author
Aldroubi, Akram  
dc.contributor.author
Cabrelli, Carlos  
dc.contributor.author
Heil, Christopher  
dc.contributor.author
Kornelson, Keri  
dc.contributor.author
Molter, Ursula Maria  
dc.date.available
2019-01-31T18:06:09Z  
dc.date.issued
2010-01  
dc.identifier.citation
Aldroubi, Akram; Cabrelli, Carlos; Heil, Christopher; Kornelson, Keri; Molter, Ursula Maria; Invariance of a shift-invariant space; Birkhauser Boston Inc; Journal Of Fourier Analysis And Applications; 16; 1; 1-2010; 60-75  
dc.identifier.issn
1069-5869  
dc.identifier.uri
http://hdl.handle.net/11336/69116  
dc.description.abstract
A shift-invariant space is a space of functions that is invariant under integer translations. Such spaces are often used as models for spaces of signals and images in mathematical and engineering applications. This paper characterizes those shift-invariant subspaces S that are also invariant under additional (non-integer) translations. For the case of finitely generated spaces, these spaces are characterized in terms of the generators of the space. As a consequence, it is shown that principal shift-invariant spaces with a compactly supported generator cannot be invariant under any non-integer translations.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Birkhauser Boston Inc  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/  
dc.subject
Dimension Function  
dc.subject
Fiber Space  
dc.subject
Frames  
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Gramian Operator  
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Range Function  
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Riesz Basis  
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Shift-Invariant Space  
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Translation-Invariant Space  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Invariance of a shift-invariant space  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2019-01-23T17:16:32Z  
dc.identifier.eissn
1531-5851  
dc.journal.volume
16  
dc.journal.number
1  
dc.journal.pagination
60-75  
dc.journal.pais
Estados Unidos  
dc.description.fil
Fil: Aldroubi, Akram. Vanderbilt University; 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 "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina  
dc.description.fil
Fil: Heil, Christopher. Georgia Institute of Techology; Estados Unidos  
dc.description.fil
Fil: Kornelson, Keri. University of Oklahoma; Estados Unidos  
dc.description.fil
Fil: Molter, Ursula Maria. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina  
dc.journal.title
Journal Of Fourier Analysis And Applications  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/0804.1597  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s00041-009-9068-y  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1007/s00041-009-9068-y  

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