Symmetry Properties of the Zero Sets of Nil-Theta Functions
Symmetry Properties of the Zero Sets of Nil-Theta Functions
Let $N$ denote the three dimensional Heisenberg group, and let $\Gamma$ be a discrete two-generator subgroup of $N$ such that $N/\Gamma$ is compact. Then we may decompose ${L^2}(N/\Gamma )$ into primary summands with respect to the right regular representation $R$ of $N$ on ${L^2}(N/\Gamma )$ as follows: ${L^2}(N/\Gamma ) = …