Wolfram Alpha seems to handle the following:
FFT 1/x^2 exp(–x^2)
But not the equivalent integral (recognized input, no output):
int exp(–x^2)/x^2 exp(ixt), x=-inf, inf
Is there a syntax problem here, do I need to upgrade to Pro, Pro Plus? Ultimately I'd like to find more complicated FTs, such as:
FFT 1/x^2 exp(–x^p)
int exp(–x^2)/x^p exp(ixt), x=-inf, inf
(p > 3/2)
(WA cannot handle either of these!)