Let $\omega\in A^{2n}(W)$ for an open subset $W$ of ${X^{\rm an}}$. Then there is a unique signed Radon measure $\mu$ on $W$ such that $\int_{W}fd\mu=[\omega](f)$ for every $f\in C_{c}^{\infty}(W)$. If $\omega$ has compact support, then we have $|\mu|(W)<\infty$.