Fredholm equations for non-symmetric kernels, with applications to iterated integral operators

Details Fredholm equations for non-symmetric kernels, with applications to iterated integral operators Fredholm equations for non-symmetric kernels, with applications to iterated integral operators

2008-02-04

arxiv.org/abs/0802.0502v2

Mathematics

Spectral Theory

12 A4 pages

Scientific paper

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 $n$.

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