Consider two arbitrary sets of coordinates $z_0$ and $z$ in some space, mapped via some $\bar{z} :$=$z_0 \rightarrow z$

I have a function $$\tag{1}\rho(z)=\int\delta(z-\bar{z}(z_0))\rho_0 (z_0)dz_0$$ this will give me $$\tag{2}\rho(z)=\rho_0 (\bar{z}^{-1}(z))\frac{\partial z_0}{\partial z}$$ How to obtain equation (2) from equation (1).

  • $\begingroup$ This should be what you are looking for; math.stackexchange.com/q/56939/8157 $\endgroup$ – Giuseppe Negro Dec 17 '18 at 10:40
  • $\begingroup$ Also, please use the double dollar and the "\tag" command for display formulas, instead of ------ Click on "edit" to see how I have done. $\endgroup$ – Giuseppe Negro Dec 17 '18 at 10:42

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