1 citations · 1 across the 4 of their papers we have counts for
6 papers
The global Gan--Gross--Prasad conjecture for Fourier--Jacobi periods on unitary groups I: Coarse expansions of the relative trace formulae
Paul Boisseau, Weixiao Lu, Hang Xue
This is the first of a series of three papers where we prove the Gan--Gross--Prasad conjecture for Fourier--Jacobi periods on unitary groups and an Ichino--Ikeda type refinement. O…
The fine spectral expansion of the Rankin-Selberg period
Paul Boisseau
We state and prove the spectral expansion of the theta series attached to the Rankin-Selberg spherical variety . This is a k…
The global Gan--Gross--Prasad conjecture for Fourier--Jacobi periods on unitary groups III: Proof of the main theorems
Paul Boisseau, Weixiao Lu, Hang Xue
This is the third and the last of a series of three papers where we prove the Gan--Gross--Prasad conjecture for Fourier--Jacobi periods on unitary groups and an Ichino--Ikeda type…
The global Gan--Gross--Prasad conjecture for Fourier--Jacobi periods on unitary groups II: Comparison of the relative trace formulae
Paul Boisseau, Weixiao Lu, Hang Xue
This is the second of a series of three papers where we prove the Gan--Gross--Prasad conjecture for Fourier--Jacobi periods on unitary groups and an Ichino--Ikeda type refinement.…
Residues of Rankin-Selberg Zeta integrals and the split non-tempered Gan-Gross-Prasad conjectures
Paul Boisseau
We construct a regularization of the Rankin-Selberg period on general linear groups for non-tempered automorphic representations using residues of Zeta integrals. We prove that it…
Whittaker-Shintani functions for Fourier-Jacobi models on unitary groups
Paul Boisseau
We state and prove a formula for the Whittaker-Shintani functions associated to Fourier-Jacobi models for p-adic unitary groups and general linear groups. These generalized spheric…