  In an earlier paper of the authors, a general family of instances of the
relative Langlands duality of Ben-Zvi-Sakellaridis-Venkatesh [BZSV] were
proposed and studied in the setting of branching problems for smooth
representations. In this paper, we show the numerical conjectures of [BZSV] for
the local Plancherel density, as well as an application to their conjectures on
global periods, for this general family of instances.
