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4. (a) Let (p) be the Fourier transform of f(x) and (p) the Fourier transform of u(x). You may assume all Fourier transforms are

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4. (a) Let (p) be the Fourier transform of f(x) and (p) the Fourier transform of u(x). You may assume all Fourier transforms are defined as integral. Suppose Show that u solves (p) = (p) 1+ 4p* -u" (x) + u(x) = f(x). [7]

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