We consider analogies between the "cut-and-project" method of constructing quasicrystals and the theory of almost periodic functions. In particular an analytic method of constructing almost periodic functions by means of convolution is presented. A geometric approach to critical points of such functions is also shown and illustrated with examples.
@article{bwmeta1.element.bwnjournal-article-apmv72z3p251bwm,
author = {Zaj\k ac, Mariusz},
title = {Quasicrystals and almost periodic functions},
journal = {Annales Polonici Mathematici},
volume = {72},
year = {1999},
pages = {251-259},
zbl = {0949.42007},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv72z3p251bwm}
}
Zając, Mariusz. Quasicrystals and almost periodic functions. Annales Polonici Mathematici, Tome 72 (1999) pp. 251-259. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv72z3p251bwm/
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