I have a signal $f(x,y)$, which is discrete. I convolve this signal with a kernel $h(x,y)$:
$y(x,y) = f(x,y) \star h(x,y)$ (where $\star$ is the convolution operator)
Can I obtain $f(x,y)$ given only $y(x,y)$ and $h(x,y)$ ?
Note: Even though this may be a signal processing question I would like to know the answer (invertibility) from a Mathematical point of view.