A spectral expansion for the symmetric space ${\mathrm{GL}}_n(E)/{\mathrm{GL}}_n(F)$

Pierre-Henri Chaudouard

In this article we state and prove the spectral expansion of theta series attached to the symmetric space ${\mathrm{GL}}_n(E)/{\mathrm{GL}}_n(F)$ where $n\ge 1$ and $E/F$ is a quadrat…