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Comptes Rendus Mathématique
Volume 350, n° 9-10
pages 509-512 (mai 2012)
Doi : 10.1016/j.crma.2012.05.003
Received : 3 April 2012 ;  accepted : 11 May 2012
Revisiting Landauʼs density theorems for Paley–Wiener spaces
Retour sur les théorèmes de densité de Landau dans les espaces de Paley–Wiener

Shahaf Nitzan a , Alexander Olevskii b
a School of Mathematical Sciences, Weizmann Institute for Science, Rehovot 76100, Israel 
b School of Mathematical Sciences, Tel Aviv University, Ramat-Aviv 69978, Israel 


We present a surprisingly simple approach to Landauʼs density theorems for sampling and interpolation, which provides stronger versions of these results. In particular, we extend the interpolation theorem to unbounded spectra.

The full text of this article is available in PDF format.

On présente ici une approche simple, et plutôt surprenante, des théorèmes de densité de Landau fournissant, pour lʼéchantillonnage et lʼinterpolation, des versions plus fortes des résultats connus. En particulier, on étend le théorème dʼinterpolation au spectre non borné.

The full text of this article is available in PDF format.

 Research supported in part by Israel Science Foundation.

© 2012  Published by Elsevier Masson SAS de la part de Académie des sciences.
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