Formule de Plancherel sur $G{L}_n\times G{L}_n\backslash G{L}_{2n}$

Nicolas Duhamel

Let $F$ be a non archimedian local field and $H_n(F)$ the Shalika subgroup of $G{L}_{2n}(F)$. We prove an explicit Plancherel formula for $H_n(F)\backslash G{L}_{2n}(F)$ using the the…