Let f: RR and g: R→ R be piecewise differentiable functions that are integrable. Given that the Fourier transform of f i
Posted: Sun Jul 10, 2022 11:11 am
Let f: RR and g: R→ R be piecewise differentiable functions that are integrable. Given that the Fourier transform of f is f(w), and the Fourier transform of g is g(w) = f(w)f(w + 1), show that g(t) = f(r)e-¹7 f(t - 7)dr. 8