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Math Help - fourier transform question..

  1. #1
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    fourier transform question..

    cant understand this transformation
    i know that each derivative pops iw
    and
    \hat{y}' ->-ixy(x)
    \hat{y}'(\omega) ->-ixy(x)
    x is a signs of derivative

    but i dont know how its been done in here
    -ixy'(x)=(i\omega \hat{y}(w))'
    how they decided that is the derivative of this whole expression
    muliplying by x means derivative
    but here it something else
    <br />
f[xy'(\omega )]=i\frac{\mathrm{d} }{\mathrm{d} \omega}f[y'(x)]=i(i\omega \hat{y}(\omega))'=i(i \hat{y}(\omega)+i\omega \hat{y}'(\omega))
    i cant see what laws they follow here
    ?
    Last edited by transgalactic; December 28th 2009 at 07:26 PM.
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