$$\delta(x)=\int e^{-ikx}dk $$ $$z=x+iy$$ $$\delta(z)=\int e^{-ikz} dk \;\;\rightarrow ??$$
Is it possible?? If it's possible, How can I proove this?? As i know, Fourier transform is defined only in real range. And the reason that i have question about this, is that suddenly, complex variable appear in my calculation. that calculation is some integration, that integration has delta function and consisted in real value,
definitly, I did calculation in real range. then after i change varaible of integralation, delta function changed complex. it's so weird
How can i do....??