# Tagged Questions

**1**

vote

**0**answers

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

**1**answer

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 ...