2
votes
1answer
128 views

Does anyone know this functional integral equation?

$$\sqrt{2}f(x) =\lim_{\delta \to 0^{+}}\left[x-i\delta-\int_{-1}^{1} \frac{|f(y)|^2}{y-i\delta-x}dy\right]$$ I'd like to know if there is a solution for $f\colon(-1,1) \to\mathbb{C}$. Of course if it ...