Sampling on Quasicrystals

We prove that quasicrystals are universal sets of stable sampling in any dimension. Necessary and sufficient density conditions for stable sampling and interpolation sets in one dimension are studied in detail.

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Bibliographische Detailangaben
1. Verfasser:	Grepstad, Sigrid
Format:	Dissertation
Sprache:	eng
Schlagworte:	Industriell matematikk ntnudaim:5851 SIF3 fysikk og matematikk
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Beschreibung
Zusammenfassung:	We prove that quasicrystals are universal sets of stable sampling in any dimension. Necessary and sufficient density conditions for stable sampling and interpolation sets in one dimension are studied in detail.