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dc.contributor.author
Porten, Erika
dc.contributor.author
Medina, Juan Miguel
dc.contributor.author
Morvidone, Marcela
dc.date.available
2023-09-19T15:47:56Z
dc.date.issued
2023-07
dc.identifier.citation
Porten, Erika; Medina, Juan Miguel; Morvidone, Marcela; Random sampling over locally compact Abelian Groups and inversion of the radon transform; Academic Press Inc Elsevier Science; Applied And Computational Harmonic Analysis; 67; 7-2023; 1-27
dc.identifier.issn
1063-5203
dc.identifier.uri
http://hdl.handle.net/11336/212090
dc.description.abstract
We consider the problem of reconstructing a measurable function over a Locally Compact Abelian group G from random measurements. The results presented herein are partially inspired by the concept of alias-free sampling. Here, the sampling and interpolation operation is modelled as an approximate convolution operator with respect to a stochastic integral defined with an appropriately chosen random measure. In particular, this includes the case where the random sampling points are chosen accordingly to a Poisson random point process. We provide sufficient conditions that guarantee an approximate reconstruction through a sampling process that is similar to alias-free random sampling. These results are applied to the problem of approximating the inverse Radon transform of a function.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Academic Press Inc Elsevier Science
dc.relation
https://ri.conicet.gov.ar/handle/11336/156239
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
LCA GROUPS
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SAMPLING
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RANDOM MEASURES AND INTEGRALS
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RADON TRANSFORM
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Matemática Pura
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Matemáticas
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CIENCIAS NATURALES Y EXACTAS
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Matemática Aplicada
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Matemáticas
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CIENCIAS NATURALES Y EXACTAS
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Otras Ingeniería Eléctrica, Ingeniería Electrónica e Ingeniería de la Información
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Ingeniería Eléctrica, Ingeniería Electrónica e Ingeniería de la Información
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INGENIERÍAS Y TECNOLOGÍAS
dc.title
Random sampling over locally compact Abelian Groups and inversion of the radon transform
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2023-09-15T12:29:18Z
dc.journal.volume
67
dc.journal.pagination
1-27
dc.journal.pais
Estados Unidos
dc.journal.ciudad
Amsterdam
dc.description.fil
Fil: Porten, Erika. Universidad Nacional de San Martín. Escuela de Ciencia y Tecnología; Argentina
dc.description.fil
Fil: Medina, Juan Miguel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Matemáticas; Argentina
dc.description.fil
Fil: Morvidone, Marcela. Universidad Nacional de San Martín. Escuela de Ciencia y Tecnología; Argentina
dc.journal.title
Applied And Computational Harmonic Analysis
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1016/j.acha.2023.101576
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/abs/pii/S1063520323000635?via%3Dihub
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