| dc.creator | Corach, Gustavo | |
| dc.creator | Massey, Pedro Gustavo | |
| dc.creator | Ruiz, Mariano Andrés | |
| dc.date | 2014-06 | |
| dc.date | 2020-08-13T16:16:54Z | |
| dc.date.accessioned | 2023-07-14T20:33:49Z | |
| dc.date.available | 2023-07-14T20:33:49Z | |
| dc.identifier | http://sedici.unlp.edu.ar/handle/10915/102245 | |
| dc.identifier | https://ri.conicet.gov.ar/11336/12166 | |
| dc.identifier | http://link.springer.com/article/10.1007/s10440-013-9853-0 | |
| dc.identifier | https://arxiv.org/abs/1309.7914 | |
| dc.identifier | issn:0167-8019 | |
| dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/7439731 | |
| dc.description | Parseval frames have particularly useful properties, and in some cases, they can be used to reconstruct signals which were analyzed by a non-Parseval frame. In this paper, we completely describe the degree to which such reconstruction is feasible. Indeed, notice that for fixed frames F and X with synthesis operators F and X, the operator norm of FX∗−I measures the (normalized) worst-case error in the reconstruction of vectors when analyzed with X and synthesized with F . Hence, for any given frame F , we compute explicitly the infimum of the operator norm of FX∗−I, where X is any Parseval frame. The X ’s that minimize this quantity are called Parseval quasi-dual frames of F . Our treatment considers both finite and infinite Parseval quasi-dual frames. | |
| dc.description | Facultad de Ciencias Exactas | |
| dc.format | application/pdf | |
| dc.format | 179-195 | |
| dc.language | en | |
| dc.rights | http://creativecommons.org/licenses/by-nc-sa/4.0/ | |
| dc.rights | Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) | |
| dc.subject | Matemática | |
| dc.subject | Procrustes problems | |
| dc.subject | Parseval frames | |
| dc.subject | Dual frames | |
| dc.title | Procrustes problems and Parseval quasi-dual frames | |
| dc.type | Articulo | |
| dc.type | Preprint | |
