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

Complex integral representation of Dirac delta function?

  1. Dec 29, 2009 #1
    We all know that [tex]\frac{1}{2\pi}\int{e^{ik(x-x')}dk=\delta(x-x')[/tex].

    i am working a problem which appears to depend on the statement

    [tex]\int e^{z^*(z-w)}dz^*\propto\delta(z-w)[/tex]

    Does anyone know if this is valid?

    [tex]\delta(z-w)[/tex] is defined in the usual way so that


    This is a physics problem, though, so the domain of integration is not specified and not clear to me.
  2. jcsd
  3. Jan 2, 2010 #2
  4. Jan 3, 2010 #3
    Hi, pellman

    I just saw your thread and remembered reading a similar article on the net. Here it is, I guess it may be helpful:

    http://homepages.physik.uni-muenchen.de/~Winitzki/no_distrib_limit.pdf [Broken]
    Last edited by a moderator: May 4, 2017
  5. Jan 4, 2010 #4
    That paper is a very good jumping off point. Thank you!
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Threads - Complex integral representation Date
I Complex integral Jun 8, 2017
I Complex integral of a real integrand May 5, 2017
A Inverse Laplace transform of a piecewise defined function Feb 17, 2017
I Question about Complex limits of definite integrals Jan 30, 2017
I Complex integral problem Dec 7, 2016