A bit of a blast from my PhD studies past, I used to think a lot about the SVD and application to discrete integral operators.

FWIW, on the author's footnote: if anyone is interested truncated SVD and applications to low-rank approximations to convolutions, here's a very outdated paper of mine on exactly that! :)

https://www.sciencedirect.com/science/article/abs/pii/S01689...