Radial rapid decay does not imply rapid decay

Adrien Boyer, Antoine Pinochet Lobos, Christophe Pittet

We provide a new, dynamical criterion for the radial rapid decay property. We work out in detail the special case of the group $\Gamma :={\mathbf{SL}}_2(A)$, where $A := \mathbb{F}_q[X,X^…