# Inverting convolutions over finite intervals

There are well-known techniques for inverting convolutions over the whole or half real line with Fourier and Laplace transformations, but on the face of it they can't be applied to an integral equation of the form:

$$\int_{-c}^c f(x-t)\rho(t) dt = g(x)\\ -c \le x \le c$$

where the unknown function to be determined is $$\rho$$, and $$f$$ will generally be non-zero over the full domain $$-2c\le x-t\le2c$$. In the examples I'm interested in, $$f$$ is an even function.

Is there a general strategy for solving for $$\rho$$?