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

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Withers, Christopher S.
Nadarajah, Saralees
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Abstract
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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 $n$.
Comment: 12 A4 pages
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Mathematics - Spectral Theory
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