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dc.contributor.author
Heineken, Sigrid Bettina  
dc.contributor.author
Morillas, Patricia Mariela  
dc.date.available
2019-11-20T18:19:34Z  
dc.date.issued
2018-05  
dc.identifier.citation
Heineken, Sigrid Bettina; Morillas, Patricia Mariela; Oblique Dual Fusion Frames; Taylor & Francis; Numerical Functional Analysis And Optimization; 39; 7; 5-2018; 800-824  
dc.identifier.issn
0163-0563  
dc.identifier.uri
http://hdl.handle.net/11336/89305  
dc.description.abstract
We introduce and develop the concept of oblique duality for fusion frames. This concept provides a mathematical framework to deal with problems in distributed signal processing where the signals considered as elements in a Hilbert space are, under certain requirements, analyzed in one subspace and reconstructed in another subspace. The requirements are, on one side, the uniqueness of the reconstructed signal, and on the other what we call consistency of the sampling for fusion frames. Both conditions are naturally related to oblique projections. We study the main properties of oblique dual fusion frames and oblique dual fusion frame systems introduced in this work and present several results that provide alternative methods for their construction.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Taylor & Francis  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
CONSISTENT RECONSTRUCTION  
dc.subject
FRAMES  
dc.subject
FUSION FRAMES  
dc.subject
OBLIQUE DUAL FRAMES  
dc.subject
OBLIQUE DUAL FUSION FRAMES  
dc.subject
OBLIQUE PROJECTIONS  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Oblique Dual Fusion Frames  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2019-10-21T18:53:57Z  
dc.journal.volume
39  
dc.journal.number
7  
dc.journal.pagination
800-824  
dc.journal.pais
Estados Unidos  
dc.journal.ciudad
Londres  
dc.description.fil
Fil: Heineken, Sigrid Bettina. 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: Morillas, Patricia Mariela. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Matemática Aplicada de San Luis "Prof. Ezio Marchi". Universidad Nacional de San Luis. Facultad de Ciencias Físico, Matemáticas y Naturales. Instituto de Matemática Aplicada de San Luis "Prof. Ezio Marchi"; Argentina  
dc.journal.title
Numerical Functional Analysis And Optimization  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/pdf/1612.05493.pdf  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.tandfonline.com/doi/abs/10.1080/01630563.2017.1421555  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1080/01630563.2017.1421555  

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