Mathematical Analysis/Theory of Signals
Average sampling in L2
[Échantillonnage moyenne dans L2]

Présenté par : 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, Tome 347 (2009) no. 17-18, pp. 1007-1010.

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.

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.

Reçu le :
Accepté le :
Publié le :
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, Tome 347 (2009) no. 17-18, pp. 1007-1010. doi : 10.1016/j.crma.2009.07.011. https://www.numdam.org/articles/10.1016/j.crma.2009.07.011/

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