Comptes Rendus
Mathematical Analysis/Theory of Signals
Average sampling in L2
Comptes Rendus. Mathématique, Volume 347 (2009) no. 17-18, pp. 1007-1010.

In this Note, we show that any localized average sampler could not be a stable sampler for L2, but that there is a localized determining sampler for L2.

Dans cette Note, nous démontrons que tout échantillonneur moyen localisé ne peut pas être un échantillonneur stable pour L2, mais qu'un échantillonneur déterminant localisé existe pour L2.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2009.07.011

M. Zuhair Nashed 1; Qiyu Sun 1; Wai-Shing Tang 2

1 Department of Mathematics, University of Central Florida, Orlando, FL 32816, USA
2 Department of Mathematics, National University of Singapore, Singapore
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M. Zuhair Nashed; Qiyu Sun; Wai-Shing Tang. Average sampling in $ {L}^{2}$. Comptes Rendus. Mathématique, Volume 347 (2009) no. 17-18, pp. 1007-1010. doi : 10.1016/j.crma.2009.07.011. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2009.07.011/

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