Gelfand pairs on the Heisenberg group and Schwartz functions

Francesca Astengo, Bianca Di Blasio, Fulvio Ricci

Let $\Hn$ be the $(2n+1)$-dimensional Heisenberg group and $K$ a compact group of automorphisms of $\Hn$ such that $(K\ltimes \Hn,K)$ is a Gelfand pair. We prove that the Gelfand t…