The authors prove the local Plancherel density conjectures of Ben-Zvi-Sakellaridis-Venkatesh for the family of relative Langlands duality instances from their prior branching-problem work, with an application to global period conjectures.
Beuzart-Plessis, Plancherel formula for _n(F) _n(E) and applications to the Ichino–Ikeda and formal degree conjectures for unitary groups , Invent
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Generalised Whittaker models as instances of relative Langlands duality II: Plancherel density and global periods
The authors prove the local Plancherel density conjectures of Ben-Zvi-Sakellaridis-Venkatesh for the family of relative Langlands duality instances from their prior branching-problem work, with an application to global period conjectures.