On Whittaker--Fourier coefficients of automorphic forms on unitary groups: reduction to a local identity

Abstract

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.

In honor of Jim Cogdell for his 60th birthday

References in corpus (4)

• A conjecture on Whittaker-Fourier coefficients of cusp forms
• On an analogue of the Ichino--Ikeda conjecture for Whittaker coefficients on the metaplectic group
• Gamma Factors of Distinguished Representations of GL_n(C)
• Distinguished representations of $GL(n,\mathbb{C})$

Cited by in corpus (1)

• On the Gan-Gross-Prasad conjecture and its refinement for $\left(\mathrm{U}\left(2n\right),\mathrm{U}\left(1\right)\right)$