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Quasicrystals and almost periodic functions

Mariusz Zając (1999)

Annales Polonici Mathematici

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.

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