prove that f(x) = (1 + |x|)^{-a} is the fourier transform of some integrable function on R, when a > 1. what happens when 0 < a <= 1? how about the function f(x) = 1/(log(|x|^2 + 2))?(adsbygoogle = window.adsbygoogle || []).push({});

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# Are these fourier transforms?

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