Let f (t) be the function which is f for t > t, 0 for t = t, and - f for t < t~. Let

Chapter 2, Problem 9

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Let f (t) be the function which is f for t > t, 0 for t = t, and - f for t < t~. Let K[+] be the linear functional Show that K'[+] = K[ - +'I = +(to). Thus, S (t - to) may be viewed as the derivative off (t).

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