[Les quasicristaux sont des ensembles d'échantillonnage stables]
Répondant à une question posée par H.J. Landau [H.J. Landau, Necessary density conditions for sampling and interpolation of certain entire functions, Acta Math. 117 (1967) 37–52] sur le problème de l'échantillonnage irrégulier des fonctions “band-limited”, nous prouvons que les quasicristaux sont des ensembles d'échantillonnage stable.
Irregular sampling and “stable sampling” of band-limited functions have been studied by H.J. Landau [H.J. Landau, Necessary density conditions for sampling and interpolation of certain entire functions, Acta Math. 117 (1967) 37–52]. We prove that quasicrystals are sets of stable sampling.
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@article{CRMATH_2008__346_23-24_1235_0,
author = {Matei, Basarab and Meyer, Yves},
title = {Quasicrystals are sets of stable sampling},
journal = {Comptes Rendus. Math\'ematique},
pages = {1235--1238},
publisher = {Elsevier},
volume = {346},
number = {23-24},
year = {2008},
doi = {10.1016/j.crma.2008.10.006},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2008.10.006/}
}
TY - JOUR AU - Matei, Basarab AU - Meyer, Yves TI - Quasicrystals are sets of stable sampling JO - Comptes Rendus. Mathématique PY - 2008 SP - 1235 EP - 1238 VL - 346 IS - 23-24 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2008.10.006/ DO - 10.1016/j.crma.2008.10.006 LA - en ID - CRMATH_2008__346_23-24_1235_0 ER -
%0 Journal Article %A Matei, Basarab %A Meyer, Yves %T Quasicrystals are sets of stable sampling %J Comptes Rendus. Mathématique %D 2008 %P 1235-1238 %V 346 %N 23-24 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2008.10.006/ %R 10.1016/j.crma.2008.10.006 %G en %F CRMATH_2008__346_23-24_1235_0
Matei, Basarab; Meyer, Yves. Quasicrystals are sets of stable sampling. Comptes Rendus. Mathématique, Tome 346 (2008) no. 23-24, pp. 1235-1238. doi : 10.1016/j.crma.2008.10.006. http://www.numdam.org/articles/10.1016/j.crma.2008.10.006/
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