The famous Nyquist-Shannon sampling theorem has been recently improved by A. Olevskii and A. Ulanovskii. The present contribution is aimed at bridging the gap between their advance on irregular sampling and what is named "compressed sensing" in signal processing.
Cite this article
Basarab Matei, Yves Meyer, A variant of compressed sensing. Rev. Mat. Iberoam. 25 (2009), no. 2, pp. 669–692DOI 10.4171/RMI/578