On a Poisson summation formula for noncommutative tori
arXiv:1106.5729 · doi:10.1007/s11785-018-0812-7
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.
to appear Complex Analysis and Operator Theory