Mathematical Analysis/Theory of Signals
Sampling in a weighted Sobolev space
Comptes Rendus. Mathématique, Volume 350 (2012) no. 21-22, pp. 941-944.

We show that functions f in some weighted Sobolev space are completely determined by time-frequency samples {f(tn)}nZ{fˆ(λk)}kZ along appropriate slowly increasing sequences {tn}nZ and {λn}nZ tending to ±∞ as n±.

Nous démontrons que toute fonction f dans un certain espace de Sobolev avec poids est complètement determinée par un échantillon {f(tn)}nZ{fˆ(λk)}kZ sur des convenables suites croissantes {tn}nZ et {λn}nZ, tendant vers ±∞ lentement, quand n±.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2012.10.028
Acala, Nestor G. 1; Reyes, Noli N. 1

1 University of the Philippines – Diliman, Institute of Mathematics, Quezon City, 1101, Philippines
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Acala, Nestor G.; Reyes, Noli N. Sampling in a weighted Sobolev space. Comptes Rendus. Mathématique, Volume 350 (2012) no. 21-22, pp. 941-944. doi : 10.1016/j.crma.2012.10.028. http://www.numdam.org/articles/10.1016/j.crma.2012.10.028/

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