5 problems

Let $G$ be a reductive group over $F$, let $\rho$ define the reductive monoid $X_\rho$, and write $\mathcal{S}_{\mathrm{ES}}(X_\rho(F)):=C^\infty_c(X_\rho(F))$. View these function…

Let $G$ be a reductive group over $F$, let $\rho$ define the reductive monoid $X_\rho$, and let $C^\infty_c(X_\rho(F))$ be the space of compactly supported locally constant functio…

Let $G$ be a reductive group over $F$, let $\rho$ be the representation defining the reductive monoid $X_\rho$, and let $C^(X_\rho(F))$ be the space of locally constant functions o…

Let $F$ be the field in the paper, let $P$ be the relevant parabolic subgroup, and let $X_P^{\circ}(F) \subset X_P(F)$ be the open subset appearing in the construction of the Schwa…

Let $P$ be a parabolic subgroup with Levi component $M$, let $X_P$ be the associated spherical variety, and set $\mathcal{S}:=\mathcal{S}(X_P)$. Let…