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5 papers
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.…
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…
A new proof of Jacquet-Rallis's fundamental lemma
Raphaël Beuzart-Plessis
We give a new proof of the so-called Lie algebra version of Jacquet-Rallis's fundamental lemma for local non-Archimedean fields of characteristic zero. This proof is local and base…
Archimedean theory and -factors for the Asai Rankin-Selberg integrals
Raphaël Beuzart-Plessis
In this paper, we partially complete the local Rankin-Selberg theory of Asai -functions and -factors as introduced by Flicker and Kable. In particular, we establish the relev…
Plancherel formula for and applications to the Ichino-Ikeda and formal degree conjectures for unitary groups
Raphaël Beuzart-Plessis
We establish an explicit Plancherel decomposition for where is a quadratic extension of local fields of characteristic zero by m…