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

Nicolas Duhamel

paper

Formule de Plancherel sur $G L_{n} \times G L_{n} \ G L_{2 n}$

arXiv:1912.08497

Abstract

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

in French

Formule de Plancherel sur GLn​×GLn​\GL2n​

Abstract

References in corpus (2)

Formule de Plancherel sur $G L_{n} \times G L_{n} \ G L_{2 n}$