Publication: Finite Sampling in Multiple Generated U-Invariant Subspaces
dc.affiliation.dpto | UC3M. Departamento de Matemáticas | es |
dc.affiliation.grupoinv | UC3M. Grupo de Investigación: Matemática Aplicada a Control, Sistemas y Señales | es |
dc.contributor.author | Fernández Morales, Héctor Raúl | |
dc.contributor.author | García García, Antonio | |
dc.contributor.author | Muñoz Bouzo, Maria Jose | |
dc.contributor.author | Ortega García, Alejandro | |
dc.contributor.funder | Ministerio de Economía y Competitividad (España) | es |
dc.date.accessioned | 2021-04-28T09:49:31Z | |
dc.date.available | 2021-04-28T09:49:31Z | |
dc.date.issued | 2016-04 | |
dc.description.abstract | The relevance in a sampling theory of U-invariant subspaces of a Hilbert space H, where U denotes a unitary operator on H, is nowadays a recognized fact. Indeed, shift-invariant subspaces of L-2(R) become a particular example; periodic extensions of finite signals also provide a remarkable example. As a consequence, the availability of an abstract U-sampling theory becomes a useful tool to handle these problems. In this paper, we derive a sampling theory for finite dimensional multiple generated U-invariant subspaces of a Hilbert space H. As the involved samples are identified as frame coefficients in a suitable euclidean space, the relevant mathematical technique is that of the finite frame theory. Since finite frames are nothing but spanning sets of vectors, the used technique naturally meets matrix analysis. | en |
dc.format.extent | 10 | |
dc.identifier.bibliographicCitation | Fernández-Morales H. R., García A. G., Muñoz-Bouzo M. J. & Ortega A. (2016). Finite Sampling in Multiple Generated U -Invariant Subspaces. IEEE Transactions on Information Theory, 62(4), pp. 2203-2212. | en |
dc.identifier.doi | https://doi.org/10.1109/TIT.2016.2531086 | |
dc.identifier.issn | 0018-9448 | |
dc.identifier.publicationfirstpage | 2203 | |
dc.identifier.publicationissue | 4 | |
dc.identifier.publicationlastpage | 2212 | |
dc.identifier.publicationtitle | IEEE Transactions on Information Theory | en |
dc.identifier.publicationvolume | 62 | |
dc.identifier.uri | https://hdl.handle.net/10016/32499 | |
dc.identifier.uxxi | AR/0000017927 | |
dc.language.iso | eng | |
dc.publisher | IEEE | |
dc.relation.projectID | Gobierno de España. MTM2014-54692-P | es |
dc.rights | © 2016, IEEE. | en |
dc.rights.accessRights | open access | en |
dc.subject.eciencia | Matemáticas | en |
dc.subject.other | Finite U-invariant subspaces | en |
dc.subject.other | Finite frames | en |
dc.subject.other | Dual frames | en |
dc.subject.other | Moore-penrose pseudo-inverse | en |
dc.subject.other | Left-inverses | en |
dc.subject.other | Shift-invariant | en |
dc.subject.other | Spaces | en |
dc.subject.other | Reconstruction | en |
dc.title | Finite Sampling in Multiple Generated U-Invariant Subspaces | en |
dc.type | research article | * |
dc.type.hasVersion | AM | * |
dspace.entity.type | Publication |
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