General form of 'Fredholm Integral Equation of the First Kind'
$f(x) = \int_a^b{K(x,t)\phi(t)} dt$
Where $\phi(t)$ is the unkown
My special case is
$1 = \int_a^b{k(t)\phi(t)} dt$
A trivial solution is of course
$\phi(t) = \frac{1}{\int_a^b k(t)dt} $
I wonder whether there are some general nontrivial solutions.