Hecke-Bochner identity and eigenfunctions associated to Gelfand pairs on the Heisenberg group

Amit Samanta

Let ${\mathbb{H}}^n$ be the $(2n+1)$-dimensional Heisenberg group, and let $K$ be a compact subgroup of U(n), such that $(K,{\mathbb{H}}^n)$ is a Gelfand pair. Also assume that the…