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math.NT2020★ 2 cited
Multiplicities and Plancherel formula for the space of nondegenerate Hermitian matrices
Raphaël Beuzart-Plessis
This paper contains two results concerning the spectral decomposition, in a broad sense, of the space of nondegenerate Hermitian matrices over a local field of characteristic zero.…
math.RT2020★ 2 cited
The global Gan-Gross-Prasad conjecture for unitary groups: the endoscopic case
Raphaël Beuzart-Plessis, Pierre-Henri Chaudouard, Michał Zydor
In this paper, we prove the Gan-Gross-Prasad conjecture and the Ichino-Ikeda conjecture for unitary groups in all the endoscopic cases. Our main technical innov…