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Let $F$ be a non archimedian local field and $H_n(F)$ the Shalika subgroup of$GL_{2n}(F)$. We prove an explicit Plancherel formula for $H_n(F) \backslashGL_{2n}(F)$ using the theory of Jacquet-Shalika of zeta functions and we deducePlancherel decompositions for $H_n(F) \backslash GL_{2n}(F)$ and $GL_{n}(F)\times GL_{n}(F) \backslash GL_{2n}(F)$.

Formule de Plancherel sur $GL_n \times GL_n \backslash GL_{2n}$