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2012 Quasicrystals, Almost Periodic Patterns, Mean-periodicFunctions and Irregular Sampling
Y. Meyer
Afr. Diaspora J. Math. (N.S.) 13(1): 1-45 (2012).

Abstract

Three properties of quasicrystals will be proved in this essay. Quasicrystals are almost periodic patterns (such patterns are carefully defined below). Every mean-periodic function whose spectrum is contained in a quasicrystal is almost periodic. Finally simple quasicrystals are universal sampling sets.

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Y. Meyer. "Quasicrystals, Almost Periodic Patterns, Mean-periodicFunctions and Irregular Sampling." Afr. Diaspora J. Math. (N.S.) 13 (1) 1 - 45, 2012.

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Published: 2012
First available in Project Euclid: 25 January 2012

zbMATH: 1242.52026
MathSciNet: MR2876415

Keywords: Almost periodic patterns , Irregular sampling , Mean-periodic functions , Model set , Pisot Numbers , Quasicrytals , Sampling set

Rights: Copyright © 2012 Mathematical Research Publishers

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Vol.13 • No. 1 • 2012
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