Title: Spherical Harmonics on the Heisenberg Group
Abstract: H 1 . Equip ℝ 3 with the group law (1.1) where (z, t) stands for (x, y, t). This is a nilpotent Lie group, usually referred to as the first Heisenberg group, H 1 . In general H k denotes ℝ 2k+1 equipped with a similar group law, namely