A degenerate version of Brion's formula

Carsten Peterson

Let $\mathfrak{p}\subset V$ be a polytope and $\hat{I}¾\in V_{\mathbb{C}}^{\ast }$. We obtain an expression for $I(\mathfrak{p};\hat{I}\pm ):={\int }_{\mathfrak{p}}{e}^{⟨\hat{I}\pm ,x⟩}dx$ as a…