Added existence of the Haar measure.
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Bokuan Li
2026-06-17 23:44:23 -04:00
parent 4028f13e04
commit 7a678b9efe
5 changed files with 185 additions and 8 deletions

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@@ -22,6 +22,7 @@
% Function Spaces
$\mathrm{supp}(f)$ & Support of $f$. & \autoref{definition:support} \\
$C_c(X; E)$ & Compactly supported continuous functions $X \to E$. & \autoref{definition:compactly-supported} \\
$C_c^+(X)$ & Compactly supported continuous functions $X \to [0, \infty)$ & \autoref{definition:non-negative-compactly-supported}
$f \prec U$ & $f \in C_c(X; [0,1])$ with $\mathrm{supp}(f) \subset U$. & \autoref{definition:compactly-supported-01} \\
$C_0(X; E)$ & Continuous functions vanishing at infinity. & \autoref{definition:vanish-at-infinity} \\
$BC(X; E)$ & Bounded continuous functions $X \to E$. & \autoref{definition:bounded-continuous-function-space} \\