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Generalized sampling in U-invariant subspaces
Citation
Fernández Morales, Héctor Raúl, García García, Antonio and Hernández Medina, Miguel Ángel 
ORCID: https://orcid.org/0000-0002-0722-1055
(2013).
Generalized sampling in U-invariant subspaces.
In: "10th International Conference on Sampling Theory and Applications (SampTA2013)", 01/07/2013 - 05/07/2013, Bremen, Germany. pp. 208-211.
Description
| Title: | Generalized sampling in U-invariant subspaces |
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| Author/s: |
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| Item Type: | Presentation at Congress or Conference (Article) |
| Event Title: | 10th International Conference on Sampling Theory and Applications (SampTA2013) |
| Event Dates: | 01/07/2013 - 05/07/2013 |
| Event Location: | Bremen, Germany |
| Title of Book: | Sa10th International Conference on Sampling Theory and Applications (SampTA2013) |
| Date: | 2013 |
| Subjects: | |
| Faculty: | E.T.S.I. Telecomunicación (UPM) |
| Department: | Matemática Aplicada a las Tecnologías de la Información [hasta 2014] |
| Creative Commons Licenses: | Recognition - No derivative works - Non commercial |
Abstract
In this work we carry out some results in sampling theory for U-invariant subspaces of a separable Hilbert space H, also called atomic subspaces. These spaces are a generalization of the well-known shift- invariant subspaces in L2 (R); here the space L2 (R) is replaced by H, and the shift operator by U. Having as data the samples of some related operators, we derive frame expansions allowing the recovery of the elements in Aa. Moreover, we include a frame perturbation-type result whenever the samples are affected with a jitter error.
More information
| Item ID: | 30226 |
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| DC Identifier: | https://oa.upm.es/30226/ |
| OAI Identifier: | oai:oa.upm.es:30226 |
| Deposited by: | Memoria Investigacion |
| Deposited on: | 20 Sep 2014 09:30 |
| Last Modified: | 01 Apr 2023 08:10 |
