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Unformatted text preview: of plane waves in the form of an integral over .) 3. (Problems 7.12.24 and 33, pp. 385386) a. Find the exponential Fourier transform of f ( x ) := e-| x | and write the inverse transform to show that Z cos x 2 + 1 d = 2 e-| x | . b. Find the Fourier transform of 1 / (1 + x 2 ). Hint : Interchange x and in the result of the rst part. c. Verify Parsevals theorem for the Fourier transform computed in part (a)....
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- Fall '10