Let f: RR and g: R→ R be piecewise differentiable functions that are integrable. Given that the Fourier transform of f i

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Let f: RR and g: R→ R be piecewise differentiable functions that are integrable. Given that the Fourier transform of f i

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Let F Rr And G R R Be Piecewise Differentiable Functions That Are Integrable Given That The Fourier Transform Of F I 1
Let F Rr And G R R Be Piecewise Differentiable Functions That Are Integrable Given That The Fourier Transform Of F I 1 (21.8 KiB) Viewed 26 times
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
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