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arXiv · 1106.5729

On a Poisson summation formula for noncommutative tori

Igor Nikolaev
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Abstract

It is proved that a maximal abelian subalgebra of the noncommutative torus commutes with the Laplace operator on a complex torus. As a corollary, one gets an analog of the Poisson summation formula for noncommutative tori.

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Igor Nikolaev. 2011-06-28. On a Poisson summation formula for noncommutative tori. https://doi.org/10.1007/s11785-018-0812-7

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