On the Schwartz space $\mathcal{S}(G(k)\backslash G(\mathbb{A}))$

Goran Muić, Sonja Žunar

For a connected reductive group $G$ defined over a number field $k$, we construct the Schwartz space $\mathcal{S}(G(k)\backslash G(\mathbb{A}))$. This space is an adelic vers…