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numerical inversion of laplace transform


hello all,

i have a function G(t) which is a convolution of F(t) and p(t):
G=F*p .
now p(t) is a step function (p(t)=UnitStep[30-t]) and i know what G(t)
is, but i'd like to get at F.  what i've been trying to do is take the
laplace transform of G and dividing by the laplace transform of p,
then inverting that to get F. i'm having a lot of trouble.   the built
in inverseLaplaceTransform function is unable to do it, and i haven't
found any numerical routines that are reliable.  is there some reason
why i shouldn't be able to do this?  perhaps there are better ways to
get at F(t)?  your advice is much appreciated.

thanks,
dan



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