Unformatted text preview: of plane waves in the form of an integral over α .) 3. (Problems 7.12.24 and 33, pp. 385–386) a. Find the exponential Fourier transform of f ( x ) := e-| x | and write the inverse transform to show that Z ∞ cos αx α 2 + 1 d α = π 2 e-| x | . b. Find the Fourier transform of 1 / (1 + x 2 ). Hint : Interchange x and α in the result of the ﬁrst part. c. Verify Parseval’s theorem for the Fourier transform computed in part (a)....
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This note was uploaded on 10/21/2011 for the course PHZ 3113 taught by Professor Staff during the Fall '10 term at FAU.
- Fall '10