Matching of orbital integrals (transfer) and Roche Hecke algebra isomorphisms

Bertrand Lemaire, Manish Mishra

Let $F$ be a non-Archimedan local field, $G$ a connected reductive group defined and split over $F$, and $T$ a maximal $F$-split torus in $G$. Let ${\chi }_0$ be a depth zero character o…