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

Christopher S. Withers; Saralees Nadarajah

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arXiv · 0802.0502

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

Christopher S. Withers·Saralees Nadarajah

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Abstract

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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BibTeX RIS

Christopher S. Withers, Saralees Nadarajah. 2008-04-02. Fredholm equations for non-symmetric kernels, with applications to iterated integral operators. https://arxiv.org/abs/0802.0502

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