Published online by Cambridge University Press: 20 November 2018
Let $V$ be an even dimensional nondegenerate symmetric bilinear space over a nonarchimedean local field $F$ of characteristic zero, and let $n$ be a nonnegative integer. Suppose that $\sigma \,\in \,\text{Irr(O(}V\text{))}$ and $\pi \,\in \,\text{Irr}\,\text{(Sp(}n,\,F\text{))}$ correspond under the theta correspondence. Assuming that $\sigma $ is tempered, we investigate the problem of determining the Langlands quotient data for $\text{ }\!\!\pi\!\!\text{ }$.
This research was supported by NSERC research grant OGP0183677.