Universal sampling, quasicrystals and bounded remainder sets

Sigrid Grepstad; Nir Lev

doi:10.1016/j.crma.2014.05.006

Universal sampling, quasicrystals and bounded remainder sets

Sigrid Grepstad, Nir Lev

Department of Mathematics

Norwegian University of Science and Technology

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	633-638
Number of pages	6
Journal	Comptes Rendus Mathematique
Volume	352
Issue number	7-8
DOIs	https://doi.org/10.1016/j.crma.2014.05.006
State	Published - Jul 2014

Bibliographical note

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

Funding

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

Funders	Funder number
Israel Science Foundation	225/13

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10.1016/j.crma.2014.05.006

Cite this

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Universal sampling, quasicrystals and bounded remainder sets

Abstract

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