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In this question we will compute the Fourier transforms of specific functions. (a) (25 marks) Compute the Fourier transform for the function f(x) = {e−iax, −2π ≤ x ≤ 2π 0, otherwise (b) (25 marks) Compute the Fourier transform for the function f(x) = {|x|, x∈[−2, 2] 0, otherwise

In this question we will compute the Fourier transforms of specific functions. (a) (25 marks) Compute the Fourier transform for the function f(x) = {e−iax, −2π ≤ x ≤ 2π 0, otherwise (b) (25 marks) Compute the Fourier transform for the function f(x) = {|x|, x∈[−2, 2] 0, otherwise

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In this question we will compute the Fourier transforms of specific functions. (a) (25 marks) Compute the Fourier transform for the function
f ( x ) = { e − i a x , − 2 π ≤ x ≤ 2 π 0 , otherwise
(b) (25 marks) Compute the Fourier transform for the function
f ( x ) = { | x | , x ∈ [ − 2 , 2 ] 0 , otherwise

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