Integral equation solution in power series

145 Views Asked by At

Given the integral equation

$$ g(x)= \int_{-\infty}^{\infty}K(x-y)f(y) \, dy$$

for a known function $ g(x) $ and kernel $ K(x)$.

Of course I know this is a Wieener-Hopf integral equation but I would like to know another formula, if possible in power series to solve this equation. Thanks.