On Whittaker--Fourier coefficients of automorphic forms on unitary   groups: reduction to a local identity
  We study Whittaker--Fourier coefficients of automorphic forms on a quasi-split unitary group. We reduce the analogue of the Ichino--Ikeda conjectures to a conjectural local statement using the descent method of Ginzburg--Rallis--Soudry. 
Erez Lapid and Zhengyu Mao
math.NT math.RT