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So if I can find the inverse transform, I'm done. But the function ##V## is ...not nice. It's nowhere differentiable for ##t < t'##, there's a jump at ##t = t'## and it's constant from then on.

So do you guys know of any methods to find the inverse to an integral transform with a nasty kernel like ##V##? Or can you see another way to solve these equations? I'd even be happy with numerical techniques.

Thanks in advance.