I’m trying to better understand the continuous spectrum of $ G = \operatorname{GL}_2(\mathbb A_{\mathbb Q})$ , which is the direct integral of induced representations $ \mathbf H(s) = \operatorname{Ind}_{Z(\mathbb A)N(\mathbb A)T(\mathbb R)^0T(\mathbb Q)}^{G(\mathbb A)} \omega_s$ . The reference I’m using is Forms of GL(2) from the analytic point of view by Gelbart and Jacquet inRead more