Universal sampling, quasicrystals and bounded remainder sets

Sigrid Grepstad, Nir Lev

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

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.

Original languageEnglish
Pages (from-to)633-638
Number of pages6
JournalComptes Rendus Mathematique
Volume352
Issue number7-8
DOIs
StatePublished - Jul 2014

Bibliographical note

Funding Information:
Research partially supported by the Israel Science Foundation Grant No. 225/13 .

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