Problem 10.9. Consider a casual function, g(t), such that g(t) = 0 for t 0. Let 81(2)=

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Problem 10.9. Consider a casual function, g(t), such that g(t) = 0 for t 0. Let 81(2)= dte "g(1) be the Laplace transform. Let F(w)=dt eg(t) be the Fourier transform. Show that

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and show that the inverse transforms give the correct behavior for g(!).

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