Manuscript XV-F-patch@1 · XV-F-patch.tex · section · 6d6ef16d

The coefficientwise action is explicit

Patch I: the local amplitude module and reconstruction › The coefficientwise action is explicit · lines 1289–1302

XV-F-patch@1#eq:coefficientspace

Let

I_{m} = {(j, β) : j \in N, β \in N^{4}, j + ∣ β ∣ \leq m + 2}, P_{V, m} = C^{\infty} (V)^{I_{m}} .

The displayed coefficient module has the action $(h c)_{j β} = h c_{j β}$ .

Displayed formulas in this passage

XV-F-patch@1#eq:coefficientspace · line 1292
$I_{m} = {(j, β) : j \in N, β \in N^{4}, j + ∣ β ∣ \leq m + 2}, P_{V, m} = C^{\infty} (V)^{I_{m}} .$