Complex measure
= Complex measure
{title2=$\nu:\mathcal F\to\mathbb C$}
{wiki}
A complex measure is a countably additive complex-valued set function on a <sigma-algebra>. Its <total variation norm of a measure> is obtained by taking the supremum of sums $\sum_j|\nu(E_j)|$ over finite measurable partitions. For finite variation and <absolute continuity of measures> with respect to a sigma-finite positive measure, the <Radon-Nikodym theorem> supplies an integrable complex density.