(8%) Consider the Fourier transform pair shown below. Use the t... | Filo

Consider the Fourier transform pair e^-|t| 𝔉⟷ (2)/(1 ω^2) (a) Use the appropriate Fourier transform properties to find the Fourier transform of t e^-|t|. (b) Use the result from part (a), along with the duality property, to determine the Fourier transform of (4 t)/((1 t^2)^2) Hint: See Example 4.13 | Numerade

(a) Consider the Fourier pair (Ψ(x), Φ(p)) relevant to one-di... | Filo