Valverde, Cesar. Products of distinct Whittaker coefficients on the metaplectic group and the Relative Trace Formula. Retrieved from https://doi.org/doi:10.7282/T3JW8CVT
DescriptionIn this thesis we obtain a geometric identity between Relative Trace Formula on the metaplectic group and the general linear group. As a consequence of the spectral analysis, we expect to obtain a relation between products of distinct Whittaker coefficients of a cuspidal automorphic representation on the metaplectic group and a non-split period of a related representation on the general linear group. This would generalize famous work of Kohnen and Waldspurger.