Bessel Periods on $U(2,1)\times U(1,1)$, Relative Trace Formula and Non-Vanishing of Central $L$-values

Philippe Michel, Dinakar Ramakrishnan, Liyang Yang

In this paper we calculate the asymptotics of the second moment of the Bessel periods associated to certain holomorphic cuspidal representations $(\pi ,{\pi }^{\prime })$ of $U(2,1)\times U(1,1)$…