Paley--Wiener Theorems for the U(n)--spherical transform on the Heisenberg group

Francesca Astengo, Bianca Di Blasio, Fulvio Ricci

We prove several Paley--Wiener-type theorems related to the spherical transform on the Gelfand pair $(H_n⋊U(n),U(n))$, where $H_n$ is the $2n+1$-dimensional Heisenbe…