Explore BrainMass

Explore BrainMass

    Fourier transform with complex conjugate

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    Show that integral from - infinity to + infinity of psi_1(x) times psi_2*(x) dx is equal to integral from - infinity to + infinity of phi_1(k) times phi_2*(k) dk.

    * indicates complex conjugate

    © BrainMass Inc. brainmass.com November 24, 2022, 5:51 pm ad1c9bdddf

    Solution Preview


    Please see the attachment for the solution. Thank you for using BrainMass.

    Problem: Show that

    where [ ]* indicates complex conjugate.


    This problem is related to the Fourier transform of a function or distribution.
    First of all, we need to define the Fourier transform, since there are several ways to define this transform, although the properties are the same.
    According to the statement to be proved, the Fourier transform of a function (x) will be defined as:
    ( 1)
    Its inverse is

    Solution Summary

    The following posting helps with Fourier transform problems. Complex conjugates are indicated.