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XXXV Workshop on Geometric Methods in Physics

26.06-2.07.2016

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Anatolij Antonevich

QUASI-PERIODIC ALGEBRAS AND THEIR AUTOMORPHISMS

Let

$CB(\mathbb{R}^m)$ be the space of bounded continuous functions on

$\mathbb{R}^m$ . A closed subalgebra

$\mathcal{A}\subset CB(\mathbb{R}^m)$ is called a quasi-periodic algebra, if it is generated by a finite number of exponent

$e^{i 2 \pi <\pm h_j, x>}, \ h_j \in \mathbb{R}^m, j =1,2, \ldots N.$ Quasi-periodic algebras and quasi-periodic functions arise in the theory of quasi-crystals and other problems.

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