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    Exponential Fourier Transforms

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    In the two problems below find the exponential Fourier Transform of the given f(x) and write f(x) as a Fourier integral.

    2x+2a -a<x<0
    f(x) = -2x+2a 0<x<a
    0 |x|>a

    The Fourier is of the type
    (see attachment).

    Please do this problem manually (without tables) and please show all work including integrations.

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    Solution Preview

    Here is the solution for this assignment also see attachments.

    Note that the convention for the Fourier transform is:

    F[f(x)] = integral ...

    Solution Summary

    Exponential Fourier Transforms are investigated.