Question: Fourier Transform Consider the Fourier transform F[f(u)] := eiuyf(y)dy . For the example f(y) := ea|y| and complex a show that A A

Fourier Transform Consider the Fourier transform F[f(u)] := ∞ −∞ eiuyf(y)dy . For the example f(y) := e−a|y| and complex a show that A −A eiuyf(y)dy converges for A → ∞ and Re

(a) > 0.

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