Posted by Tim and Alex on September 18, 2002 at 01:49:08:
Given g(k) = N/(k^2 + a^2) where N, a are parameters
f(x) = (1/((2*pi)^0.5))*| g(k)exp(ikx) dk
i.e. f(x) <= F.T. => g(k)
what is f(x)?
We get as far as
I(k) = (N/((2*pi)^0.5)) . ((exp(ikx).arctan(x/a))/a)
f(x) = I(inf) - I(-inf);
and we cannot understand the significance.
Any assistance would be greatly appreciated.
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