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math.NT2020
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.NT2019
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…