Manuscript IX-B@2 · IX-B-v2.tex · section · 8ce915d6

Quantified analytical input

Fixed data and inherited inputs › Quantified analytical input · lines 417–428

For compact $K \subset X$ , let

D_{K} (X) = {Φ \in C_{c}^{\infty} (X) : supp Φ \subset K}, p_{K, N} (Φ) = ∣ α ∣ \leq N max X sup ∣ \partial^{α} Φ∣.

Strong convergence in $D^{'} (X)$ means uniform convergence on bounded subsets of $D (X)$ .

Displayed formulas in this passage

unlabeled · line 420
$D_{K} (X) = {Φ \in C_{c}^{\infty} (X) : supp Φ \subset K}, p_{K, N} (Φ) = ∣ α ∣ \leq N max X sup ∣ \partial^{α} Φ∣.$