• Stephen Gelbart

Articles written in Proceedings – Mathematical Sciences

• On Whittaker models and the vanishing of Fourier coefficients of cusp forms

The purpose of this paper is to construct examples of automorphic cuspidal representations which possess a ψ-Whittaker model even though their ψ-Fourier coefficients vanish identically. This phenomenon was known to be impossible for the groupGL(n), but in general remained an open problem. Our examples concern the metaplectic group and rely heavily upon J L Waldspurger’s earlier analysis of cusp forms on this group.

• # Proceedings – Mathematical Sciences

Current Issue
Volume 129 | Issue 3
June 2019