Recently, the changes in the spectrum of partially coherent radiation
emitted by a spherically symmetric source have been investigated. The
explicit form of the energy conservation law for the mentioned case is
derived. Also some examples (using numerical calculations) illustrati
ng red and blue shifts of gaussian lines are presented and the corresp
ondence between the cross-spectral density of the source and the cross
-spectral density of the field on the surface of the source is discuss
ed.