Products of generalized equivalent operators in angular momentum theory

Generalized operator equivalents to the (bipolar) spherical harmonics T sub (lm) sup (l1l2) (ω1,ω2) are considered, viz. P sub (F1) P sub (F2) T sub (lm) sup (l1,l2) (ω1,ω2) P sub (J1) P sub (J2), where the P sub (J) are projection operators on the manifolds of definite angular momenta. A closed formula is derived for the coefficients of the Clebsch-Gordan decomposition of products of such operators. (author)