1
vote
0answers
152 views

Smoothness of eigenfunctions of integral equation

Can you provide a proof or a reference, to study from, for the following problem: Assume $\Gamma$ is a real analytic closed rectifiable curve in the plane, $ds$ is the arc-length and kernel ...
6
votes
1answer
273 views

Decomposition of an integral operator into a composition

I've been musing about the following question for a while now. Given an integral operator $G$ defined by $$ (Gf)(x) = \int_0^1 G(x,u) f(u)\,du $$ Is it possible to decompose this into two separate ...