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Strange formula

  1. Aug 16, 2008 #1
    let be the identity

    [tex] (2 \pi ) i^{m-1}D^{m} \delta (u) = \int_{-\infty}^{\infty} dx e^{iux}x^{m-1} [/tex]`

    then making the replacement u=e^D D derivative with respect to 'x' then

    [tex] (2 \pi ) i^{m-1}D^{m} \delta (e^{D})f(0) = \int_{-\infty}^{\infty} dx e^{ixe^{D}}x^{m-1}f(0)=\int_{-\infty}^{\infty} dx x^{m-1}\sum_{k=0}^{\infty}\frac{i^{k}f(n)}{n!} [/tex]

    the problem is that i do not know how to define [tex] D^{m} \delta (e^{D}) [/tex]
    Last edited by a moderator: Aug 19, 2008
  2. jcsd
  3. Aug 17, 2008 #2


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    Science Advisor

    Something is wrong with your latex expressions. They are unreadable.
  4. Aug 18, 2008 #3
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