Gelfand transforms of SO(3)-invariant Schwartz functions on the free group N_{3,2}

Veronique Fischer, Fulvio Ricci

The spectrum of a Gelfand pair $(K⋉N,K)$, where $N$ is a nilpotent group, can be embedded in a Euclidean space. We prove that in general, the Schwartz functions on the spec…