I performed an inverse Laplace transform (probably incorrectly) and found a function which is very strange when I plot it. The function is 1/2 + Sum{cos(2n pi x) - cos((2n+1)pi x), n=1, infinity}. As n increases the plot oscillates rapidly starting at x = 0 and as x -> 1 it looks like -delta(x) just before going to delta(x) at x = 1. What tricks can be used to show this is a Fourier expansion of something reasonable? Or at least some closed form of something unreasonable!
Thanks.
Mike
Thanks.
Mike