The Fourier transform X(ω) of the signal x(t) is given by X(ω)=1, for Which one of the following statements is true?

Let f(t) be an even function, i.e. f(-t) = f(t) for all t. Let the Fourier transform of f(t) be defined as F(ω) = ∫-∞∞ f(t)e-jωtdt for all ω, and suppose F(0) =...

Consider a continuous-time signal x(t) defined by x(t) = 0 for t > 1, and x(t) = 1 - |t| for |t| ≤ 1. Let the Fourier transform of x(t) be defined as X(ω)...