# singular measure

Two measures $\mu$ and $\nu$ in a measurable space $(\Omega,\mathcal{A})$ are called singular if there exist two disjoint sets $A$ and $B$ in $\mathcal{A}$ such that $A\cup B=\Omega$ and $\mu(B)=\nu(A)=0$. This is denoted by $\mu\perp\nu$.

Title singular measure SingularMeasure 2013-03-22 13:26:26 2013-03-22 13:26:26 Koro (127) Koro (127) 7 Koro (127) Definition msc 28A12 singular