Help: Mode Decomposition and Retarded Feilds and Green's functions

[zamoura]

Hello,

I studying General Relativity at University of Chicago and I am looking for information regarding "Fourier-Harmonic Mode Decomposition" or mode decomposition in general and "Retarded Greens Functions" and retarded fields in general.

Does anyone have advice about where is a good place to learn about these subjects? All this material is very new to me so and help would be very much appreciated.

Thanks,
Zamoura

 

[Peeter]

The book 'mathematics of classical and quantum physics' by Byron and Fuller (Dover) has a nice treatment of Green's functions, including retarded and advanced solutions of the wave equation. It may not be exactly what you are looking for, but may be a good starting place.