Complex integral representation of Dirac delta function?

  • Thread starter pellman
  • Start date
  • #1
675
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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

[tex]\int{\delta(z-w)f(z)dz}=f(w)[/tex]

This is a physics problem, though, so the domain of integration is not specified and not clear to me.
 

Answers and Replies

  • #3
193
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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:
  • #4
675
4
That paper is a very good jumping off point. Thank you!
 

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