Average sampling in $ {L}^{2}$

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

doi:10.1016/j.crma.2009.07.011

Mathematical Analysis/Theory of Signals

Average sampling in

L^{2}

[Échantillonnage moyenne dans

L^{2}

]

Présenté par : Yves Meyer

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

Comptes Rendus. Mathématique, Volume 347 (2009) no. 17-18, pp. 1007-1010.

Résumé
Abstract

Dans cette Note, nous démontrons que tout échantillonneur moyen localisé ne peut pas être un échantillonneur stable pour $L^{2}$ , mais qu'un échantillonneur déterminant localisé existe pour $L^{2}$ .

In this Note, we show that any localized average sampler could not be a stable sampler for $L^{2}$ , but that there is a localized determining sampler for $L^{2}$ .

Reçu le : 2009-01-14
Accepté le : 2009-07-06
Publié le : 2009-08-06

DOI : 10.1016/j.crma.2009.07.011

Affiliations des auteurs :

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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     title = {Average sampling in $ {L}^{2}$},
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     language = {en},
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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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