Explore BrainMass
Share

Explore BrainMass

    Fourier transform in distribution sense

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

    Please solve problem number 1 on the attached PDF file

    © BrainMass Inc. brainmass.com October 10, 2019, 1:50 am ad1c9bdddf
    https://brainmass.com/math/fourier-analysis/fourier-transform-distribution-sense-351448

    Attachments

    Solution Preview

    see attachment

    Solution:

    a) Let's consider a test function D; we have to compute the limit of the inner product which defines a distribution as a linear and continuous functional:
    ( 1)
    Since
    ( 2)
    we will have: ( 3)
    Let's put
    ...

    Solution Summary

    Fourier transform in distribution sense is evaluated.

    $2.19