The local converse theorem for quasi-split $O_{2n}$ and $S{O}_{2n}$

Jaeho Haan, Yeansu Kim, Sanghoon Kwon

Let $F$ be a non-archimedean local field of characteristic not equal to 2. In this paper, we prove the local converse theorem for quasi-split ${Ø}_{2n}(F)$ and $\SO_{2n}(F)$, via the…