TEAM PROJECT. Shifting. (a) Show that if f(x) has a
Chapter 11, Problem 11.9(choose chapter or problem)
TEAM PROJECT. Shifting. (a) Show that if f(x) has a Fourier transform, so does f(x - a), and SC{f(x - a)} = e-iwaSC[f(x)}. (b) Using (a), obtain formula 1 in Table III, Sec. l1.10, from formula 2. (e) Shifting on the w-Axis. Show that if j(lI') is the Fourier transform of f(x), then J(w - a) is the Fourier transform of eiaxf(x). (d) Using (c), obtain formula 7 in Table TTTfrom 1 and formula 8 from 2.
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