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f(z) = dx' f(x)g(x - '), where g(s) dk elks. [4) (b) Now imagine that it is only possible to compute the integral defining g(s)

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f(z) = dx' f(x)g(x - '), where g(s) dk elks. [4) (b) Now imagine that it is only possible to compute the integral defining g(s) approximately by integrating from - K to K, i.e. it is possible to compute: K 9K (S) dk elks -K Find an explicit expression for gx(s) and compare your result with (12). (4] (c) What do you think is the value of (* dag(s)? [2]f(x) = dk f ( k)ekz 2 7 -00 L f ( k ) = lim dr' e ikme f(I') = du' e-ikr' f(r') L-00 J

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