Quasicrystals and almost periodic functions
Volume 72 / 1999
Annales Polonici Mathematici 72 (1999), 251-259 DOI: 10.4064/ap-72-3-251-259
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.