Question: Recall that the Fourier transform of a function fE L'(R) is defined by F(w) : = 3/27 - 00 Find the Fourier transforms of

Recall that the Fourier transform of a function fE L'(R) is defined

Recall that the Fourier transform of a function fE L'(R) is defined by F(w) : = 3/27 - 00 Find the Fourier transforms of the following three functions defined on the whole of R: and and 1/7 f(x) e-tux dx for w R. 91(x):= - {* 0 92(x):= 93 (x):= [xl 0 xex for x (0, 1) otherwise for x (-1,1) otherwise for x (0,00) otherwise

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