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I understood that

G=\frac{e^{ikR}}{R}

is a spetial solution for

( \nabla ^2 + k^2 )G =0 (R>0) .

but,why G=\frac{e^{ikR}}/{R} satisfy

( \nabla ^2 + k^2 )G =-4\pi \delta (\mathbf{R}) ?

How to normalize the Green function?

( \nabla ^2 + k^2 )\frac{e^{ikR}}{R}=...calculate...=0.

I can't understand.Please help me...