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Power expansion of the Dirac Delta function?

  1. Sep 10, 2010 #1
    Hi, I hope this is the right place to ask this

    Is it possible to expand the Dirac delta function in a power series?

    [tex] \delta(x)=\sum a_n x^n [/tex]

    If so, what's the radius of convergence or how can I find it?

  2. jcsd
  3. Sep 10, 2010 #2


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    Science Advisor

    No. A function can be represented by a power series in a neighborhood of 0 only if it is analytic there. The delta function is not analytic. It is (from a mathematics point of view) not even a function.
  4. Sep 14, 2010 #3
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