Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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


    User Avatar
    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
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook