We prove that the HRT (Heil, Ramanathan, and Topiwala) Conjecture is equivalent to the conjecture that co-central translates of square-integrable functions on the Heisenberg group are linearly independent.

中文翻译：

---

海森堡群和HRT猜想的函数翻译

我们证明了HRT（Heil，Ramanathan和Topiwala）猜想等同于Heisenberg群上平方可积函数的共中心平移是线性独立的猜想。