A Conjecture of Sakellaridis-Venkatesh on the Unitary Spectrum of Spherical Varieties

Wee Teck Gan, Raul Gomez

In a recent preprint, Sakellaridis and Venkatesh considered the spectral decomposition of the space $L^2(X)$, where $X = H\G$ is a spherical variety and $G$ is a real or $p$-adic g…