Two singular integrals containing a partial wave of the two-body coulomb T-matrix

The operatorsT _C,l E+i0)–G ₀(E+i0)]^1–i andT _C,l(E+i)G ₀–iG ₀(E+i)]ⁱ acting on spaces of Hölder continuous, differentiable and analytic functions are investigated. The results of their action are expressed in terms of explicit singular factors and terms and Hölder (differentiable, analytic) functions. The most singular part of these operators is shown to be determined by a simple functional.