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.

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# Complex integral representation of Dirac delta function?

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