Fredholm equations for non-symmetric kernels, with applications to   iterated integral operators
  We give the Jordan form and the Singular Value Decomposition for an integral operator ${\cal N}$ with a non-symmetric kernel $N(y,z)$. This is used to give solutions of Fredholm equations for non-symmetric kernels, and to determine the behaviour of ${\cal N}^n$ and $({\cal N}{\cal N^*})^n$ for large $n$. 
Christopher S. Withers and Saralees Nadarajah