The problem discussed in that paper is to find a characterization on the Arthur's conjectural parameters for the representations occuring in the residual spectrum for a classical group. Only conjectures are given but it is proved that the global conjectures can be reduced to very natural local conjectures, in the case of cohomological square integrable automorphic forms.
Colette MOEGLIN. "Conjectures sur le spectre résiduel." J. Math. Soc. Japan 53 (2) 395 - 427, April, 2001. https://doi.org/10.2969/jmsj/05320395