We all know that [tex]\frac{1}{2\pi}\int{e^{ik(x-x')}dk=\delta(x-x')[/tex].(adsbygoogle = window.adsbygoogle || []).push({});

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.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Complex integral representation of Dirac delta function?

**Physics Forums | Science Articles, Homework Help, Discussion**