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dc.contributor.author
Cabrelli, Carlos  
dc.contributor.author
Paternostro, Victoria  
dc.date.available
2017-07-10T17:47:11Z  
dc.date.issued
2012  
dc.identifier.citation
Cabrelli, Carlos; Paternostro, Victoria; Shift-modulation invariant spaces on LCA groups; Polish Academy of Sciences. Institute of Mathematics; Studia Mathematica; 211; -1-2012; 1-19  
dc.identifier.issn
0039-3223  
dc.identifier.uri
http://hdl.handle.net/11336/19991  
dc.description.abstract
A (K,Λ) shift-modulation invariant space is a subspace of L2(G) that is invariant under translations along elements in K and modulations by elements in Λ. Here G is a locally compact abelian group, and K and Λ are closed subgroups of G and the dual group Gˆ, respectively. We provide a characterization of shift-modulation invariant spaces when K and Λ are uniform lattices. This extends previous results known for L2(Rd). We develop fiberization techniques and suitable range functions adapted to LCA groups needed to provide the desired characterization.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Polish Academy of Sciences. Institute of Mathematics  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
Shift-Modulation Invariant Space  
dc.subject
Lca Groups  
dc.subject
Range Functions  
dc.subject
Fibers  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Shift-modulation invariant spaces on LCA groups  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2017-07-07T14:44:27Z  
dc.identifier.eissn
1730-6337  
dc.journal.volume
211  
dc.journal.pagination
1-19  
dc.journal.pais
Polonia  
dc.description.fil
Fil: Cabrelli, Carlos. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina  
dc.description.fil
Fil: Paternostro, Victoria. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina  
dc.journal.title
Studia Mathematica  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.4064/sm211-1-1  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/studia-mathematica/all/211/1/90645/shift-modulation-invariant-spaces-on-lca-groups  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1109.0482  

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