no. 17-18
Mathematical Analysis/Theory of Signals
Average sampling in L2

Presented by: Yves Meyer

Nashed, M. Zuhair1; Sun, Qiyu1; Tang, Wai-Shing2
1 Department of Mathematics, University of Central Florida, Orlando, FL 32816, USA
2 Department of Mathematics, National University of Singapore, Singapore
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
Nashed, M. Zuhair 1; Sun, Qiyu 1; Tang, Wai-Shing 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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Nashed, M. Zuhair; Sun, Qiyu; Tang, Wai-Shing. 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. http://www.numdam.org/articles/10.1016/j.crma.2009.07.011/

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