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We discuss the scalar propagator on generic AdS x S backgrounds. For theconformally flat situations and masses corresponding to Weyl invariant actions,the propagator is powerlike in the sum of the chordal distances with respect toAdS(d+1) and S(d'+1). In these cases we analyze its source structure. In allother cases the propagator depends on both chordal distances separately. Therean explicit formula is found for certain special mass values. For pure AdS weshow how the well known propagators in the Weyl invariant case can be expressedas linear combinations of simple powers of the chordal distance. For AdS(5) xS(5) we relate our propagator to the expression in the plane wave limit andfind a geometric interpretation of the variables occurring in the knownexplicit construction on the plane wave. As a byproduct of comparing differenttechniques, including the KK mode summation, a theorem for summing certainproducts of Legendre and Gegenbauer functions is derived.Comment: 26 pages, LaTeX, 1 figure; extended final version, section adde

On the propagator of a scalar field in AdS × S and in its plane wave limit