TY - JOUR
T1 - Universal sampling, quasicrystals and bounded remainder sets
AU - Grepstad, Sigrid
AU - Lev, Nir
N1 - Funding Information: Research partially supported by the Israel Science Foundation Grant No. 225/13 .
PY - 2014/7
Y1 - 2014/7
N2 - We examine the result due to Matei and Meyer that simple quasicrystals are universal sampling sets, in the critical case when the density of the sampling set is equal to the measure of the spectrum. We show that in this case, an arithmetical condition on the quasicrystal determines whether it is a universal set of "stable and non-redundant" sampling.
AB - We examine the result due to Matei and Meyer that simple quasicrystals are universal sampling sets, in the critical case when the density of the sampling set is equal to the measure of the spectrum. We show that in this case, an arithmetical condition on the quasicrystal determines whether it is a universal set of "stable and non-redundant" sampling.
UR - http://www.scopus.com/inward/record.url?scp=84905036692&partnerID=8YFLogxK
U2 - 10.1016/j.crma.2014.05.006
DO - 10.1016/j.crma.2014.05.006
M3 - مقالة
SN - 1631-073X
VL - 352
SP - 633
EP - 638
JO - Comptes Rendus Mathematique
JF - Comptes Rendus Mathematique
IS - 7-8
ER -