Relative Character Asymptotics Beyond Stability for ${\mathrm{PGL}}_2\times {\mathrm{GL}}_1$

Trajan Hammonds

The asymptotics of relative characters for real Lie groups were studied for representations $(\pi ,\sigma )$ arising from Gan-Gross-Prasad pairs $(G,H)$ by Nelson and Venkatesh. They succe…